Dividing Mixed Fractions

Welcome to our Dividing Mixed Fractions page.

On this page, we have a range of free printable Fractions sheets on how to divide mixed fractions, including free support sheets and practice sheets.

Dividing Mixed Fractions

Here you will find support on how to divide mixed fractions, and also some practice worksheets designed to help your child master this skill.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

Before your child tackles dividing mixed fractions, they should be confident with dividing and multiplying fractions, and also converting mixed fractions to improper fractions and reducing fractions to simplest form.

Using these sheets will help your child to:

  • divide one mixed fraction by another;
  • dividing an integer by a mixed fraction;
  • dividing a mixed fraction by an integer;
  • apply their understanding of simplest form;

Dividing Fractions Calculator

Divide Fractions
Answer
Answer

 
 

If you need support to find out how to divide fractions, there is more help further down this page!

Dividing Fractions Calculator - How It Works

To enter a fraction, you have to enter the numerator followed by '/' followed by the denominator. E.g. 4/5 or 23/7

To enter a mixed fraction, first type the whole number followed by space followed by the numerator followed by '/' followed by the denominator.

E.g. 3 1/4 (3 and a quarter), 7 2/5 (seven and two-fifths), 10 4/11 (10 and four-elevenths).

Click the Divide button and the calculator will show the resulting division both as an improper fraction or a mixed number (where applicable).

This calculator will work out Fraction1 ÷ Fraction2.

How to Divide Mixed Fractions Support

Frazer says "To divide a mixed fraction by another fraction, follow these four easy steps..."

Frazer the Fraction Salamander

Step 1

Change the whole number to a fraction by putting it over a denominator of 1.

Convert any mixed fractions into improper fractions. Any integers (whole numbers) should be written as fractions with a denominator of 1.

Step 2

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 3

Multiply the numerators of the fractions together, and the denominators of the fractions together. This will give you the answer.

Step 4 (Optional)

You may want to convert the fraction into its simplest form or convert it back to a mixed fraction (if it is an improper fraction).

How to Divide Mixed Fractions Printable Sheet

Examples

Example 1)   3 1 3 ÷   1 5 6

Step 1)

3 1 3 ÷   1 5 6 =    10 3 ÷     11 6

Step 2)

10 3 ÷     11 6 =     10 3 x    6  11

Step 3)

10 3 x    6  11 =     60 33

Steps 4)

Answer in simplest form is     20 11 or     1  9  11

Example 2)   4 ÷   2 1 3

Step 1)

4 ÷   2 1 3 =     4 1 ÷   7 3

Step 2)

4 1 ÷   7 3 =     4 1 x   3 7

Step 3)

4 1 x   3 7 =     12 7

Steps 4)

This answer is already in simplest form     12 7 or     1 5 7

Dividing Mixed Fractions Worksheets

How to Divide Fractions by Fractions Worksheets

Here you will find a selection of Fraction worksheets designed to help your child understand how to divide a fraction by another fraction.

You will also find a printable resource sheet and some practice sheets which will help you understand and practice this math skill.

All the free Math sheets in this section support the Elementary Math Benchmarks for Grade 5.

Dividing Fractions by Whole Numbers

Here you will find a selection of Fraction worksheets designed to help your child understand how to divide fractions by integers or whole numbers.

Using these sheets will help your child to:

  • divide a fraction by a whole number;

Converting Improper Fractions

Here you will find a selection of Fraction worksheets designed to help your child understand how to convert an improper fraction to a mixed number.

Using these sheets will help your child to:

  • convert an improper fraction to a mixed number;
  • convert a mixed number to an improper fraction.

How to Convert to Simplest Form

Here you will find a selection of Fraction worksheets designed to help your child understand how to convert a fraction to its simplest form.

Using these sheets will help your child to:

  • develop an understanding of equivalent fractions;
  • know when a fraction is in its simplest form;
  • convert a fraction to its simplest form.
 

How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

how to print information image printer

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

 

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We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.


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