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Welcome to the Math Salamanders 5th Grade How to Divide Fractions.

Here you will find a range of free printable Fifth Grade Dividing Fractions sheets,
including support sheets and practice sheets which will help your child
learn how to divide one fraction by another.

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.

This calculator will work out Fraction1 ÷ Fraction2.

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

If you want to divide fractions, you can use the calculator below.

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).

Here you will find support on how to divide one fraction by another fraction, 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 fractions, they should be confident with 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 fraction by another;
- apply their understanding of simplest form;
- convert an improper fraction to a mixed number.

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.

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).

This printable support sheet below gives a little more detail about dividing fractions of numbers including a guide to how it works.

*
Example 1) Find
3
5
÷
2
7
*

Step 1)

3 5 ÷ 2 7 = 3 5 x 7 2

Step 2)

3 5 x 7 2 = 21 10

Step 3)

Answer in simplest form = 21 10 OR 2 1 10

*
Example 1) Find
9
4
÷
3
5
*

Step 1)

9 4 ÷ 3 5 = 9 4 x 5 3

Step 2)

9 4 x 5 3 = 45 12

Step 3)

Answer in simplest form 45 12 = 15 4 OR 3 3 4

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.

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.

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.

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.

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