Tip: chose value 1 to be a fraction and value 2 to be a mixed number, and then tick the box of "Value 1 - Value 2 random switching" to make problems where either the first or the second number is a mixed number. Just experiment with the options to customize the worksheets as you like!
(2 fractions, easy, for 4th grade) (3 fractions, for 4th grade) (for 4th grade) (for 5th grade) (for 6th grade) (for 5th grade) (mixed problems, for 5th grade) (answers are whole numbers, for 5th grade) (mixed problems, for 6th grade) (incl. negative fractions, for 7th-8th grade) (incl. negative fractions, for 7th-8th grade) (negative fractions, for 7th-8th grade)
Drag unit fraction pieces (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/9, 1,10, 1/12, 1,16, and 1/20) onto a square that represents one whole. You can see that, for example, 6 pieces of 1/6 fit into one whole, or that 3 pieces of 1/9 are equal to 1/3, and many other similar relationships.
Use the generator below to make customized worksheets for fraction operations.
Min:
Max:
List:
Numerator
Denominator
Whole number
Min:
Max:
List:
Numerator
Denominator
Whole number
Key to Fractions Workbooks
These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.
Word Problems with Fractions
Today we are going to look at some examples of word problems with fractions.
Although they may seem more difficult, in reality, word problems involving fractions are just as easy as those involving whole numbers. The only thing we have to do is:
Read the problem carefully.
Think about what it is asking us to do.
Think about the information we need.
Simplify, if necessary.
Think about whether our solution makes sense (in order to check it).
As you can see, the only difference in fraction word problems is step 5 (simplify) .
There are some word problems which, depending on the information provided, we should express as a fraction. For example:
In my fruit basket, there are 13 pieces of fruit, 5 of which are apples.
How can we express the number of apples as a fraction?
5 – The number of apples (5) corresponds to the numerator (the number which expresses the number of parts that we wish to represent).
13 – The total number of fruits (13) corresponds to the denominator (the number which expresses the number of total possible parts).
The solution to this problem is an irreducible fraction (a fraction which cannot be simplified). Therefore, there is nothing left to do.
Word problems with fractions: involving two fractions
In these problems, we should remember how to carry out operations with fractions.
Carefully read the following problem and the steps we have taken to solve it:
What fraction of the payment has Maria spent?
We find the common denominator:
We calculate:
Word problems with fractions: involving a fraction and a whole number
Finally, we are going to look at an example of a word problem with a fraction and a whole number. Now we will have to convert all the information into a fraction with the same denominator (as we did in the example above) in order to calculate
We convert 1 into a fraction with the same denominator:
What do you think of this post? Do you see how easy it is to solve word problems with fractions?
To keep learning, try Smartick’s free trial.
Learn More:
Understand What a Fraction Is and When It Is Used
Fraction Word Problems: Addition, Subtraction, and Mixed Numbers
Learn and Practice How to Subtract or Add Fractions
Learn How to Subtract Fractions
Review and Practice the Two Methods of Dividing Fractions
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40 Comments
I loved the word problem
Thanks for your help
it simplifies the teaching and learning process
Thanks for the explanation… really grateful 🙏
Thank you for such good explanations, it helped me a lot
It is really good it helped me improve my math a lot.
same it helps me in my math too
Wow, it really helps a lot
Good exercises
Interesting
wow it worked
Hi can you not show the answer till the bottom of the page or your giving away the answer so if you solved number one problem the number one aware to the question will be there at the bottom of the page because it is way to easy if it is right there
I like that you are doing for as Thank you
I really want to be part of this
wow, this help me a lot
A big help for my kids lesson
Thank for helping me
Thank you for all the homework you have given us. God bless you
Thank you for this problems that involved fractions
Hey I will use this in my game☺
Please help me with my math homework
Hi Letlhogonolo,
Thank you very much for your comment. If you want to learn more content like this and practice elementary school math, just sign up at Smartick . You have a free trial period with no strings attached. If you have any additional questions or doubts you can write to my colleagues of the pedagogical team at [email protected] .
Best regards!
I like it… but you can level up please 🙄
Roll two dices, the first dice is the numerator, the second is the denominator, this is the first fraction. Roll both dices again and repeat the process to generate the second fraction. Write a division story problem that incorporates these two fractions.
Seems easy of the examples but when I have fraction word promblems in front of me then its still hard for me to figure it out.The examples on this site still is helpful.I will use the site that you give on here to get further practice.Thank you for the examples on here
Interesting and very helpful. I’m going to continue using this site and tell others about it too.
I really like it
Hey I am in grade five and it is super helpful for my exams thanks and maybe if you could make more it would be appriciated thx 🙂
Good efforts
i kinda like it pls write some more problems
I think it was really good how you are helping fellow students! But I think you can improve if there were more problems for solving! Thanks
Cool, it helps a lot.
it is helpfull
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Math Fractions Worksheets Hub Page
Welcome to our Math Fractions Worksheets hub page.
Here you will find links to our wide range of free Fraction Worksheets and resources which will help your child with their Fraction learning.
Why not check out our fraction riddles worksheets, or look at some of our many fraction resources.
You could also try out our fraction games or fraction practice zone for some online practice.
For full functionality of this site it is necessary to enable JavaScript.
Here are the instructions how to enable JavaScript in your web browser .
This page contains links to other Math webpages where you will find a range of activities and resources.
If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.
Fraction Learning
Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context.
For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.
Once the concept of fractions as numbers and fractions as parts of a whole has been understood, your child will be well on their way to developing a sound understanding of fractions.
Math Fractions Worksheets
Here you will links to our free fraction pages.
On this page you will find links to a wide selection of fraction worksheets, fraction resources and fraction support pages (including videos) to help your child get to grips with fractions!
Quicklinks to ...
Fractions Help
Online Fraction Practice Zone
Online Fraction Calculators
Fraction resources, fraction worksheets by grade, fraction worksheets by topic, converting fractions, fraction online math help pages.
Here you will find the Math Salamanders free online Math help pages about Fractions.
There is a wide range of help pages including help with:
fraction definitions;
equivalent fractions;
converting improper fractions;
how to add and subtract fractions;
how to convert fractions to decimals and percentages;
how to simplify fractions.
Fractions Practice Zone
Take a look at our Online Fraction Practice Zone for finding and simplifying fractions.
You can choose from a range of levels of difficulty from unit fractions with smaller numbers to mixed fractions with larger numbers.
Great for using with a group of children as well as individually.
Online Fraction of Number Practice Zone
Simplify Fractions Practice Zone
Back to Top
We have a selection of different fraction calculators which will help you to add, subtract, multiply and divide fractions.
Our fraction calculators will also:
convert fractions to simplest form;
convert improper fractions to mixed fractions, and mixed fractions to improper fractions;
convert fractions to decimals and percentages;
convert decimals and percentages to fractions.
All Fraction Calculators
Here you will find the Math Salamanders free fraction resources to help your child understand fractions.
Resources include Fraction strips and Fraction Flashcards.
Here you will find a selection of math fractions worksheets sorted by grade order designed to help your child understand Fractions.
Using these math fractions worksheets will help your child to:
understand what a half is;
shade in half of a shape;
find different numbers involving 'halves' on a number line;
find half of different numbers up to 20.
Fraction Math Worksheets - Understanding a half
Fraction Riddles for kids (easier)
understand what fractions are;
relate fractions to everyday objects and quantities;
place different fractions on a number line;
shade in different fractions of a shapes;
work out unit fractions of numbers.
Finding Fractions - Fraction Spotting
Fractions of Shapes Worksheets
Unit Fraction of Numbers
Halves and Quarters (up to 100)
Fraction Number Line Sheets
Adding Fractions with Like Denominators
Subtracting Fractions with like denominators
Using these 4th grade math fractions worksheets will help your child to:
position different fractions on a number line;
understand equivalent fractions;
understand what a mixed number is;
compare two or more fractions;
begin to convert fractions to decimals and decimals to fractions.
What is a Mixed Number Support page
Equivalent Fractions Worksheets
Comparing Fractions Worksheet page
Improper Fraction Worksheets
Fractions of Numbers (Graded worksheets)
Fractions of Whole Numbers Worksheets (Randomly Generated)
Convert Fractions to Decimal Sheets
Convert Decimal to Fraction Sheets
Free Printable Fraction Riddles (harder)
Using these 5th grade math fractions worksheets will help your child to:
compare and order fractions;
add and subtract fractions and mixed numbers;
understand how to multiply fractions by a whole number;
understand how to multiply two fractions together, including mixed fractions;
understand the relationship between fractions and division;
know how to divide fractions and mixed fractions;
convert decimals to fractions.
Adding Fractions Worksheets
Adding Improper Fractions
Subtracting Fractions Worksheets
Adding Subtracting Fractions Worksheets
Converting Decimals to Fractions Worksheets
Fractions Decimals Percents Worksheets
Multiplying Fractions Worksheets
Multiplying Mixed Fractions
Dividing Fractions by Whole numbers
Divide Whole numbers by Fractions
How to Divide Mixed Numbers
Simplifying Fractions Worksheets
At 6th Grade level, children are introduced to adding and subtracting fractions with different denominators. They know and can use equivalent fractions, and can multiply and divide fractions by whole numbers, as well as mixed numbers.
Dividing Mixed Fractions Worksheets
Multiplying and Dividing Fractions (Randomly Generated)
Here you will find a selection of math fractions worksheets sorted by topic.
The sheets have been separated into Fractions as numbers, Fractions of Quantities and Converting Fractions.
Equivalent Fractions
Comparing fractions, improper fractions.
Adding & Subtracting Fractions
Multiplying & Dividing Fractions
Fractions of numbers & shapes
Fraction Riddles
Fraction as numbers.
Worksheets in this section cover adding, subtracting, multiplying and dividing fractions. This section also covers positioning fractions on a number line, equivalent fractions and comparing fractions.
Fractions on a number line
Here you will find a selection of number line Fraction Worksheets.
Using these sheets will help your child to:
understand a half as a number.
All the free math sheets in this section support the Elementary Math benchmarks for 2nd Grade.
Fraction Math Worksheets - understanding a half
position fractions on a number line;
understand the value of fractions and mixed numbers.
All the printable fraction worksheets in this section support the Elementary Math benchmarks for 3rd Grade.
Fraction Number Line Worksheets
Here you will find a selection of Fraction Worksheets based on equivalent fractions.
understand and use equivalent fractions;
compare different fractions.
Finding Equivalent Fractions support page
We have a support page to help students understand how what improper fractions are and how to conver them.
We also have a wide range of Improper Fraction Worksheets, some of which use visual fractions to aid understanding and some sheets which are more abstract.
How to Convert Improper Fractions
We have some carefully graded worksheets on comparing and ordering fractions.
You can choose from supported sheets with diagrams for students who need extra help to harder worksheets for those more confident.
Adding and Subtracting Fractions
Here you will find a selection of Fraction Worksheets based on adding and subtracting fractions.
The sheets start with adding and subtracting fractions with the same denominator, then progress on to fractions with different denominators.
In order to progress on to adding and subtracting fractions with different denominators, your child should be confident with equivalent fractions.
add and subtract fractions with the same denominator;
add and subtract fractions with different denominators;
apply your equivalent fractions knowledge.
Adding Fractions Worksheets only
Adding Fractions Worksheets (unlike denominators)
Subtracting Fractions Worksheets only
Adding Subtracting Fractions Workshets
Adding Subtracting Fractions with unlike denominators
Fractions Adding and Subtracting Worksheets (randomly generated)
Multiplying and Dividing Fractions
Here you will find a selection of Fraction Worksheets based on multiplying and dividing fractions.
multiply and divide fractions by whole numbers and other fractions;
multiply and divide mixed fractions.
All the printable fraction worksheets in this section support the Elementary Math benchmarks for 5th and 6th Grade.
Dividing Fractions Worksheets
Dividing Fractions by whole numbers
Fractions of Quantities
Here you will find a selection of math fractions worksheets designed to help you understand fractions as parts of a whole.
understand how to find different fractions of shapes and quantities;
understand how to find different fractions of numbers;
understand the link between fractions and division.
All the printable fraction worksheets in this section support the Elementary Math benchmarks for 3rd and 4th Grade.
Finding Fractions
Fraction of a Whole Number
Riddles are a great way to get children to apply their knowledge of fractions.
These riddles are a good way to start off a maths lesson, or also to use as a way of checking your child's understanding about fractions.
All the fraction riddles consist of 3 or 4 clues and a selection of 6 or 8 possible answers. Children have to read the clues and work out which is the correct answer.
The riddles can also be used as a template for the children to write their own clues for a partner to guess.
Here you will find support pages on how to convert fractions to other number forms such as decimals or percentages.
There are some example exercises to try, complete with answers, as well as printable math support pages.
convert a fraction to a decimal;
convert a fraction to a percentage;
convert a fraction to simplest form;
convert a fraction to a mixed number;
All the free printable shape sheets in this section are informed by Elementary Math benchmarks.
Free Fraction Calculator
Convert Fractions to Decimal
Decimal to Fraction Calculator
Converting Fractions to Percentages
Convert Percent to Fraction
Convert Improper Fractions Support
How to Simplify Fractions support page
Simplifying Fractions Worksheet page
Math Fraction Games
Here is our collection of Math games involving fractions.
These games are suitable for kids aged from 3rd grade and upwards.
Playing games is a great way to learn fraction skills in a fun way.
Fraction equivalence, fraction to decimal conversion and properties of fractions are all explored in our fun games to play.
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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.
Solving Word Problems by Adding and Subtracting Fractions and Mixed Numbers
Learn how to solve fraction word problems with examples and interactive exercises.
Example 1: Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogether?
Analysis: To solve this problem, we will add two fractions with like denominators.
Solution:
Answer: Rachel rode her bike for three-fifths of a mile altogether.
Analysis: To solve this problem, we will subtract two fractions with unlike denominators.
Answer: Stefanie swam one-third of a lap farther in the morning.
Analysis: To solve this problem, we will add three fractions with unlike denominators. Note that the first is an improper fraction.
Answer: It took Nick three and one-fourth hours to complete his homework altogether.
Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having like denominators.
Answer: Diego and his friends ate six pizzas in all.
Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having like denominators.
Answer: The Cocozzelli family took one-half more days to drive home.
Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having unlike denominators.
Answer: The warehouse has 21 and one-half meters of tape in all.
Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having unlike denominators.
Answer: The electrician needs to cut 13 sixteenths cm of wire.
Analysis: To solve this problem, we will subtract a mixed number from a whole number.
Answer: The carpenter needs to cut four and seven-twelfths feet of wood.
Summary: In this lesson we learned how to solve word problems involving addition and subtraction of fractions and mixed numbers. We used the following skills to solve these problems:
Add fractions with like denominators.
Subtract fractions with like denominators.
Find the LCD.
Add fractions with unlike denominators.
Subtract fractions with unlike denominators.
Add mixed numbers with like denominators.
Subtract mixed numbers with like denominators.
Add mixed numbers with unlike denominators.
Subtract mixed numbers with unlike denominators.
Directions: Subtract the mixed numbers in each exercise below. Be sure to simplify your result, if necessary. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.
Note: To write the fraction three-fourths, enter 3/4 into the form. To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.
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Fraction Worksheets
Fraction worksheets include hundreds of printable handouts with exclusive pages in each sub topic. After the sub topics, you can find plenty of worksheets that include complete review of fractions.
List of Fraction Worksheets
Halves, Thirds, and Fourths
Visual Fraction Models
Identifying Fractions
Types of Fractions
Simplifying Fraction
Converting between Improper Fractions and Mixed Numbers
Equivalent Fraction
Fractions on a Number Line
Adding Fractions
Subtracting Fractions
Multiplying Fractions
Dividing Fractions
Fraction Word Problems
Comparing Fractions
Comparing Mixed Numbers
Ordering Fractions
Estimating Fractions
Rounding Fractions
Explore the Fraction Worksheets in Detail
Open the door to understanding fractions for the early learners in kindergarten through grade 3 with our halves, thirds, and fourths worksheets! Kid-friendly illustrations, engaging exercises, and hands-on activities allow children soak up everything about halves, thirds, and quarters.
Help 3rd grade and 4th grade children understand fractions as equal parts of a whole using shapes, real-life objects, pizza slices, and lots of visual fraction models! They identify proper fractions, unit fractions, mixed numbers, and do a lot more.
Want the child to be adept at identifying fractions in a jiffy? Go great guns at finding numerators and denominators, completing the table by forming fractions, and more with these dynamic pdf worksheets.
What type of fraction is 1/4? Yes, it’s a unit fraction. Identify a proper fraction, improper fraction, mixed number, unit fraction, like fractions, unlike fractions like a pro with these printable types of fractions worksheets.
Reduce the proper fraction, improper fraction and mixed numbers to its lowest term.
Which is easier to interpret, 1 1/4 or 5/4? Some students might find working with mixed numbers harder than improper fractions, for others might find improper fractions easier. Prep up converting between the two with these pdf worksheets!
Interactive worksheets that use fraction strips, pie model, visual graphics and more.
These fraction worksheets on number line help kids to visually understand the fractions.
Add like, unlike, proper, improper and mixed fractions. Special fractions such as unit and reciprocal fraction included.
Free subtraction worksheets include all types of fractions build with various skill levels.
Discern multiplying fractions by whole numbers using repeated addition, arrays, number line models, equal groups, and area models; progress multiplying two and three fractions, multiplying fractions by mixed numbers, etc.; solve a series of fraction multiplication word problems.
Plug into our printable dividing fractions worksheets and practice performing division of fractions by whole numbers, fractions by fractions, mixed number by fractions, and more!
Learn how fraction applied and used in real-life by practicing these word problems.
Explore our fraction comparison worksheets to effortlessly compare two fractions with like and unlike denominators. With a wide-range of models and exercises, these pdfs are a great practice tool for children.
Which is greater, 1 2/5 or 2 5/6? Compare such mixed numbers instantly and flawlessly with a devout practice of our mixed number comparison worksheets!
Arrange the fractions in either increasing or decreasing order.
Round the fractions to the nearest whole number or to the nearest half. Number lines are also included.
Estimate the sum, difference, product and quotient involving fractions.
Converting between Fractions and Decimals Worksheets
Support the child’s knowledge involving conversion between fractions and decimals by incorporating a host of engaging exercises and up their forte in leaps and bounds!
Convert between Fractions, Decimals, and Percents Worksheets
Help the learners make a major breakthrough in performing the conversion between percentages, decimals, and fractions. The vast assemblage of exercises focuses on improving while testing their grasp on the topic.
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
The calculus section will carry out differentiation as well as definite and indefinite integration.
The matrices section contains commands for the arithmetic manipulation of matrices.
The graphs section contains commands for plotting equations and inequalities.
The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.
Math Topics
More solvers.
Add Fractions
Simplify Fractions
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Interactive
Fractions Problems
Fractions problems interactive.
Filter by Grade:
Filter by subject:.
How many equal parts of a whole
Slice a pizza, and we get fractions:
/
/
/
The top number says how many slices we have. The bottom number says how many equal slices the whole pizza was cut into .
Have a try yourself:
Equivalent fractions.
Some fractions may look different, but are really the same, for example:
/
=
/
=
/
(Four-Eighths)
(Two-Quarters)
(One-Half)
=
=
It is usually best to show an answer using the simplest fraction ( 1 / 2 in this case ). That is called Simplifying , or Reducing the Fraction
Numerator / Denominator
We call the top number the Numerator , it is the number of parts we have . We call the bottom number the Denominator , it is the number of parts the whole is divided into .
Numerator Denominator
You just have to remember those names! (If you forget just think "Down"-ominator)
Adding Fractions
It is easy to add fractions with the same denominator (same bottom number):
/
+
/
=
/
=
/
(One-Quarter)
(One-Quarter)
(Two-Quarters)
(One-Half)
+
=
=
Another example:
/
+
/
=
/
=
/
+
=
=
Adding Fractions with Different Denominators
But what about when the denominators (the bottom numbers) are not the same?
/
+
/
=
?
+
=
We must somehow make the denominators the same.
In this case it is easy, because we know that 1 / 4 is the same as 2 / 8 :
/
+
/
=
/
+
=
There are two popular methods to make the denominators the same :
Least Common Denominator , or
Common Denominator
(They both work nicely, use the one you prefer.)
Other Things We Can Do With Fractions
We can also:
Subtract Fractions
Multiply Fractions
Divide Fractions
Visit the Fractions Index to find out even more.
Fraction Word Problems (Difficult)
Here are some examples of more difficult fraction word problems. We will illustrate how block models (tape diagrams) can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.
Related Pages Fraction Word Problems Singapore Math Lessons Fraction Problems Using Algebra Algebra Word Problems
Block modeling (also known as tape diagrams or bar models) are widely used in Singapore Math and the Common Core to help students visualize and understand math word problems.
Example: 2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?
Solution: Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children.
5 units = 95 1 unit = 95 ÷ 5 = 19 7 units = 7 × 19 = 133
Answer: There are 133 children in the restaurant.
Printable & Online Fraction Word Problems (Add, Subtract) 2-Step Fraction Word Problems (Add, Subtract)
1-Step Mixed Number Word Problems (Add, Subtract) 2-Step Mixed Number Word Problems (Add, Subtract)
Fraction Word Problems (Add, Subtract, Multiply) Fraction Word Problems (Tape Diagrams)
Dividing Fractions Word Problems
Example: Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?
350 – 95 = 255 3 units = 255 1 unit = 255 ÷ 3 = 85 7 units = 85 × 7 = 595
Answer: Gary has $595 after shopping.
Example: 1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?
Solution: Draw a diagram with 9 parts. One part represents striped shirts. Out of the remaining 8 parts: 5 parts represent the printed shirts and 3 parts represent plain colored shirts.
3 units = 81 1 unit = 81 ÷ 3 = 27 Printed shirts have 2 parts more than plain shirts. 2 units = 27 × 2 = 54
Answer: Peter’s shop has 54 more printed colored shirts than plain shirts.
Solve a problem involving fractions of fractions and fractions of remaining parts
Example: 1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds?
How to solve fraction word problem that involves addition, subtraction and multiplication using a tape diagram or block model
Example: Jenny’s mom says she has an hour before it’s bedtime. Jenny spends 3/5 of the hour texting a friend and 3/8 of the remaining time brushing her teeth and putting on her pajamas. She spends the rest of the time reading her book. How long did Jenny read?
How to solve a four step fraction word problem using tape diagrams?
Example: In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?
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Mixed fraction word problems
Add / subtract / multiply / divide fractions.
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Fractions Questions
Fractions questions are given here will help the students to understand how to perform arithmetic operations on fractions. We know that fractions is one of the most important concepts of Class 7 Maths. In this article, you will get the questions on fractions, along with their solutions, based on the latest NCERT curriculum.
What are Fractions?
In maths, a fraction is defined as a part of the whole thing, and it can be written in the form a/b, where a and b are whole numbers, also, b ≠ 0. Based on the numerical values of numerator and denominator, we can define different types of fractions .
Proper fraction: A proper fraction is a number representing a part of a whole. This whole may be a single object or a group of objects.
Improper fraction: An improper fraction is a number in which the numerator is greater than the denominator.
Mixed fraction: A mixed fraction is a combination of a whole number and a proper fraction.
Learn more about fractions here.
Fractions Questions and Answers
1. How many 2/3 kg pieces can be cut from a cake of weight 4 kg?
Let p be the number 2/3 kg pieces that are cut from a 4 kg cake.
So, p × (2/3) = 4
p = 4 × (3/2)
Therefore, six 2/3 kg pieces can be cut from a cake of weight 4 kg.
2. What is the product of 5/129 and its reciprocal?
Given fraction: 5/129
Here, numerator = 5
Denominator = 129
Reciprocal of 5/129 = 129/5
The product of 5/129 and its reciprocal = (5/129) × (129/5) = 1.
3. Sunita and Rehana want to make dresses for their dolls. Sunita has 3/4 m of cloth, and she gave 1/3 of it to Rehana. How much did Rehana have?
Length of cloth Sunita has = 3/4 m
According to the given,
Sunita has 3/4 m of cloth, and she gave 1/3 of it to Rehana.
Therefore, the length of cloth Rehana has
= 1/3 of 3/4 m
= (1/3) x (3/4) m
4. Anuradha can do a piece of work in 6 hours. What part of the work can she do in 1 hour, in 5 hours, in 6 hours?
Let m be the whole work to be done.
The part of work done by Anuradha in 6 hours = m
Thus, the part of work done by her in 1 hour = m/6
The part of work done by her in 5 hours = (m/6) x 5 = 5m/6
The part of work done by her in 6 hours = (m/6) x 6 = m
Therefore, Anuradha can do 1/6 part of work in 1 hour, 5/6 part of work in 5 hours and the complete work in 6 hours.
5. Multiply the following fractions.
(i) (⅖) × 5 ¼
(ii) 2 ⅗ × 3
Here, 5 ¼ is a mixed fraction.
Let us convert this mixed fraction into an improper fraction.
5 ¼ = [(5 × 4) + 1]/4 = 21/4
Thus, (⅖) × 5 ¼ = (⅖) × (21/4) = 21/10
Here, 2 ⅗ is a mixed fraction.
2 ⅗ = [(2 × 5) + 3]/5 = 13/5
Therefore, 2 ⅗ × 3 = (13/5) × 3 = 39/5
6. Divide 3/10 by (1/4 of 3/5).
1/4 od 3/5 = (1/4) × (3/5) = 3/(4 × 5) = 3/20
3/10 ÷ (1/4 of 3/5)
= 3/10 ÷ 3/20
= (3/10) × (20/3)
\(\begin{array}{l}\text{7. Find the value of }\frac{1}{4\frac{2}{7}}+\frac{1}{3\frac{11}{13}}\frac{1}{\frac{5}{9}}.\end{array} \)
First, simplify the denominators.
= (7/30) + (13/50) + (9/5)
= (35 + 39 + 270)/150 {since the LCM of 30, 50 and 5 is 150}
8. Evaluate the following:
(i) 3 ½ ÷ 4
(ii) 4 ⅓ ÷ 3
Here, 3 ½ is a mixed fraction.
3 ½ = (3 × 2 + 1)/2 = 7/2
3 ½ ÷ 4 = 7/2 ÷ 4 = (7/2) × (¼) = 7/8
Here, 4 ⅓ is a mixed fraction.
4 ⅓ = (4 × 3 + 1)/3 = 13/3
4 ⅓ ÷ 3 = 13/3 ÷ 3 = (13/3) × (⅓) = 13/9
9. 1/8 of a number equals 2/5 ÷ 1/20. What is the number?
Let p be the number.
(1/8) × p = 2/5 ÷ 1/20
p/8 = (2/5) × (20/1)
p/8 = 2 × 4
Hence, 64 is the required number.
10. Raj travels 360 km on three-fifths of his petrol tank. How far would he travel at the same rate with a full tank of petrol?
Distance travelled by Raj with three-fifths (i.e. ⅗) of petrol tank = 360 km
Distance travelled by him with a full petrol tank = (360 ÷ 3/5) km
= (360 x 5)/3 km
= 120 x 5 km
Video Lesson on Fractions
Practice Questions on Fractions
1. The weight of an object on the moon is 1/6 its weight on the Earth. If an object weighs 5 3/5 kg on the Earth, how much would it weigh on the moon?
2. Lipika reads a book for 1 ¾ hour every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
3. Multiply and reduce to the lowest form (if possible).
11/2 × 3/10
4. Arrange the following in descending order:
2/9, 2/3, 8/21
1/5, 3/7, 7/10
5. Write five equivalent fractions of 8/11.
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Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work. Small Fraction Circles.
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1. Add fractions with the same denominator by combining the numerators. To add fractions, they must have the same denominator. If they do, simply add the numerators together. [2] For instance, to solve 5/9 + 1/9, just add 5 + 1, which equals 6. The answer, then, is 6/9 which can be reduced to 2/3. 2.
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Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form. Download the set. Represent and Simplify the Fractions: Type 2. Before representing in fraction, children should perform addition or subtraction to solve ...
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Answer: The carpenter needs to cut four and seven-twelfths feet of wood. Summary: In this lesson we learned how to solve word problems involving addition and subtraction of fractions and mixed numbers. We used the following skills to solve these problems: Add fractions with like denominators. Subtract fractions with like denominators.
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A mixed number or a mixed fraction is a type of fraction which is a combination of both a whole number and a proper fraction. We express improper fractions as mixed numbers. For example, 5\(\frac{1}{3}\), 1\(\frac{4}{9}\), 13\(\frac{7}{8}\) are mixed fractions. Unit fraction. A unit fraction is a fraction with a numerator equal to one.
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The worksheets cover a range of fraction operations, from adding and subtracting fractions to working out fractions of numbers and ratio problems. Riddles are additional problems that get children to know the language of fractions, order mixed numbers, and fractions, and solve problems involving more than one criterion.
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While dividing one fraction by another fraction, we multiply the first fraction by the reciprocal of the other. 5. Multiply the following fractions. (i) (⅖) × 5 ¼. (ii) 2 ⅗ × 3. Solution: (i) (⅖) × 5 ¼. Here, 5 ¼ is a mixed fraction. Let us convert this mixed fraction into an improper fraction.
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IMAGES
VIDEO
COMMENTS
Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work. Small Fraction Circles.
Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents. Fraction Worksheets ... Fractions - Subtraction. Worksheet. Example. Fractions (Same Denominator) 15 − 25. Unit Fractions. 13 − 19. Easy Proper Fractions. 38 − 27. Harder Proper Fractions. 712 − 1525.
Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation. To solve a fraction word problem, you must understand the context of the word problem, what the unknown information is, and what operation is needed to solve it.
1. Add fractions with the same denominator by combining the numerators. To add fractions, they must have the same denominator. If they do, simply add the numerators together. [2] For instance, to solve 5/9 + 1/9, just add 5 + 1, which equals 6. The answer, then, is 6/9 which can be reduced to 2/3. 2.
Multiply a fraction by a whole number (for 5th grade) Multiply fractions and mixed numbers (mixed problems, for 5th grade) Division of fractions, special case (answers are whole numbers, for 5th grade) Divide by fractions (mixed problems, for 6th grade) Add two unlike fractions (incl. negative fractions, for 7th-8th grade)
Word problems with fractions: involving a fraction and a whole number. Finally, we are going to look at an example of a word problem with a fraction and a whole number. Now we will have to convert all the information into a fraction with the same denominator (as we did in the example above) in order to calculate. This morning Miguel bought 1 ...
Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context. For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.
Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form. Download the set. Represent and Simplify the Fractions: Type 2. Before representing in fraction, children should perform addition or subtraction to solve ...
Unit 4 Understand fractions. Unit 5 Place value through 1,000,000. Unit 6 Add and subtract through 1,000,000. Unit 7 Multiply 1- and 2-digit numbers. Unit 8 Divide with remainders. Unit 9 Add and subtract fraction (like denominators) Unit 10 Multiply fractions. Unit 11 Decimals and place value. Unit 12 Add and subtract decimals.
Answer: The carpenter needs to cut four and seven-twelfths feet of wood. Summary: In this lesson we learned how to solve word problems involving addition and subtraction of fractions and mixed numbers. We used the following skills to solve these problems: Add fractions with like denominators. Subtract fractions with like denominators.
Discern multiplying fractions by whole numbers using repeated addition, arrays, number line models, equal groups, and area models; progress multiplying two and three fractions, multiplying fractions by mixed numbers, etc.; solve a series of fraction multiplication word problems. Dividing Fractions. Plug into our printable dividing fractions ...
Grade 4: Fraction worksheets. Fractions to decimals. Grade 5: Fraction addition and subtraction. Fraction multiplication and division. Converting fractions, equivalent fractions, simplifying fractions. Fraction to / from decimals. Grade 6:
QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...
A mixed number or a mixed fraction is a type of fraction which is a combination of both a whole number and a proper fraction. We express improper fractions as mixed numbers. For example, 5\(\frac{1}{3}\), 1\(\frac{4}{9}\), 13\(\frac{7}{8}\) are mixed fractions. Unit fraction. A unit fraction is a fraction with a numerator equal to one.
The worksheets cover a range of fraction operations, from adding and subtracting fractions to working out fractions of numbers and ratio problems. Riddles are additional problems that get children to know the language of fractions, order mixed numbers, and fractions, and solve problems involving more than one criterion.
It is usually best to show an answer using the simplest fraction ( 1 / 2 in this case ). That is called Simplifying, or Reducing the Fraction. Numerator / Denominator. We call the top number the Numerator, it is the number of parts we have. We call the bottom number the Denominator, it is the number of parts the whole is divided into.. NumeratorDenominator. You just have to remember those names!
Fraction Word Problems, The first example is a one-step word problem, The second example shows how blocks can be used to help illustrate the problem, The third example is a two-step word problem, bar modeling method in Singapore Math, Word Problem on Subtracting Fractions From Whole Numbers, with video lessons, examples and step-by-step solutions.
Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children. 5 units = 95. 1 unit = 95 ÷ 5 = 19. 7 units = 7 × 19 = 133. Answer: There are 133 children in the restaurant. Fraction Word Problem Worksheets. Example: Gary and Henry brought an equal amount of money for shopping.
Find three fractions that add to 1. Now the task has an endless number of solutions. These solutions can provide a lot of information about your students' facility with fractions. One student may add two halves to find one whole. Another may use a unit fraction and its complement such as 1/4 + 3/4 or 1/100 + 99/100. Task 4.
Add / subtract / multiply / divide fractions. These word problems provide additional practice with fractions and the 4 basic operations. Mixing word problems and including unneeded data are ways to encourage students to carefully read and think about the questions. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4. Worksheet #5 Worksheet #6.
While dividing one fraction by another fraction, we multiply the first fraction by the reciprocal of the other. 5. Multiply the following fractions. (i) (⅖) × 5 ¼. (ii) 2 ⅗ × 3. Solution: (i) (⅖) × 5 ¼. Here, 5 ¼ is a mixed fraction. Let us convert this mixed fraction into an improper fraction.
Next: Fractions - Finding Original Practice Questions GCSE Revision Cards. 5-a-day Workbooks