How to Divide Fractions
Support Page
Welcome to our How to Divide Fractions support page.
On this page you will find a range of Dividing Fractions sheets, including support sheets and practice sheets which will help your child learn how to divide one fraction by another.
How to Divide Fractions
Dividing Fractions Calculator
We have a calculator to help you to divide fractions.
You can divide mixed numbers or divide a fraction by an integer (or integer by a fraction) too.
All the working out is shown step-by-step so you can see how it is worked out.
How to Divide Fractions Information
Before your child tackles dividing fractions, they should be confident with multiplying fractions, and also converting mixed fractions to improper fractions and reducing fractions to simplest form.
How to Divide Fractions Support
For those of you who like to see some algebra, here is the simple formula for dividing two fractions:
Formula for dividing two fractions
\[{a \over b} \div {c \over d} = {ad \over bc} \]
Frazer says "To divide a fraction by another fraction, follow these three easy steps."
Step 1
If any of the fractions are mixed fractions, then first convert them into improper fractions.
Invert (swap) the numerator and denominator of the dividend fraction (the fraction after the ÷ sign) and change the operand to a 'x' instead of a '÷' .
Step 2
Multiply the numerators and denominators of the fractions together, This will give you the answer.
You should have now found your fraction of a number!
Step 3 - optional
You may want to convert the fraction into its simplest form and/or convert it back to a mixed fraction (if it is an improper fraction).
How to divide fractions printable sheets
This printable support sheet below gives a little more detail about dividing fractions of numbers including a guide to how it works.
How to Divide Fractions Examples
Example 1) Calculate \[{3 \over 5} ÷ {2 \over 7} \]
Step 1)
\[{3 \over 5} ÷ {2 \over 7} = {3 \over 5} \times {7 \over 2}\]
Step 2)
\[{3 \over 5} \times {7 \over 2} = {3 \times 7 \over 5 \times 2} = {21 \over 10}\]
Step 3)
Answer in simplest form is: \[{21 \over 10} \; or \; 2 {1 \over 10}\]
Final answer: \[{3 \over 5} ÷ {2 \over 7} \; = \; {21 \over 10} \; or \; 2 {1 \over 10}\]
Example 2) Calculate \[{9 \over 4} ÷ {3 \over 5} \]
Step 1)
\[{9 \over 4} ÷ {3 \over 5} = {9 \over 4} \times {5 \over 3}\]
Step 2)
\[{9 \over 4} \times {5 \over 3} = {9 \times 5 \over 4 \times 3} = {45 \over 12}\]
Step 3)
Simplify Answer: \[{45 \over 12} \; = \; {15 \over 4} \; or \; 3 {3 \over 4}\]
Final answer: \[{9 \over 4} ÷ {3 \over 5} \; = \; {15 \over 4} \; or \; 3 {3 \over 4}\]
Example 3) Calculate \[{4 \over 7} ÷ {1 \over 3} \]
Step 1)
\[{4 \over 7} ÷ {1 \over 3} = {4 \over 7} \times {3 \over 1}\]
Step 2)
\[{4 \over 7} \times {3 \over 1} = {4 \times 3 \over 7 \times 1} = {12 \over 7}\]
Step 3)
Answer in simplest form is: \[{12 \over 7} \; or \; 1 {5 \over 7}\]
Final answer: \[{4 \over 7} ÷ {1 \over 3} \; = \; {12 \over 7} \; or \; 1 {5 \over 7}\]
Dividing Fractions Worksheets
Want some practice dividing fractions?
We have several different worksheets to help you divide fractions by other fractions, including mixed fractions.
The sheets are graded and have different levels of support.
More Recommended Math Resources
Take a look at some more of our resources similar to these.
How to Divide Fractions by an Integer Worksheets
Here you will find a selection of Fraction worksheets designed to help your child understand how to divide a fraction by a whole number.
Using these sheets will help your child to:
- divide a fraction by a whole number;
- divide a whole number by a fraction.
How to Divide Mixed Numbers Worksheets
Here you will find a selection of Fraction worksheets designed to help your child understand how to divide mixed fractions.
Once your child has mastered divide fractions, they are ready to learn to divide mixed fractions.
Using these sheets will help your child to:
- divide a fraction by a mixed number;
- divide a mixed number by a fraction;
- divide two mixed fractions.
How to Multiply Fractions
This support page will help you find out all about how to multiply fractions together.
There are several worked examples and a printable support sheet.
How to Convert Improper Fractions
This support page shows how to convert improper fractions to mixed numbers, and how to convert mixed numbers to improper fractions.
You will also find printable support sheets, and several practice math worksheets for this learning fractions skill.
Learning Fractions Math Help Page
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.
How to Print or Save these sheets
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Follow these 3 steps to get your worksheets printed perfectly!
How to Print or Save these sheets
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Follow these 3 steps to get your worksheets printed perfectly!
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