Welcome to the Math Salamanders 5th Grade Multiplying Fractions page.

Here you will find a range of free printable sheets to help
your child learn to multiply fractions by integers or other fractions.

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.

Here you will find a selection of Fraction worksheets designed to help your child understand how to multiply a fraction by another fraction, or to multiply a fraction by an integer.

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 multiplying fractions, they should be confident with converting improper fractions to mixed numbers, and also using simplest form.

Using these sheets will help your child to:

- multiply 2 fractions together;
- multiply a fraction by a whole number;
- apply their understanding of simplest form;

To multiply mixed fractions, use the link below!

If you want to multiply two 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).

The answer is given as an improper fraction and a mixed fraction.

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

Frazer says "To multiply a fraction by an integer, or another fraction, follow the simple step below:"

Step 1

If the number is an integer (whole number), then rewrite it as a fraction with a denominator of 1.

Multiply the numerators together, then multiply the denominators together.

Step 2

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).

And that's all you need to do to multiply two fractions together.

*
Example 1) Multiply
3
5
by
4
9
*

Step 1)

3 5 x 4 9 = 3x4 5x9 = 12 45

Step 2)

To convert this answer to simplest form, divide the numerator and denominator by their common factor of 3.

12 ÷ 3 = 4; 45 ÷ 3 = 15

So 3 5 x 4 9 = 12 45 = 4 15 in simplest form.

*
Example 2) Multiply
11
7
by 8
*

Step 1)

11 7 x 8 = 11 7 x 8 1 = 11x8 7x1 = 88 7

Step 2)

This fraction is already in simplest form.

Here you will find a selection of Fraction worksheets designed to help your child understand how to multiply two mixed fractions together.

Once your child has mastered multiplying fractions, they are ready to learn to divide fractions, or to multiply a fraction by a mixed fraction, or multiply two mixed fractions together.

Using these sheets will help your child to:

- multiply a fraction by a mixed number;
- multiply two mixed fractions together.

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.

This is also sometimes called reducing fractions to their simplest form.

This involves dividing both the numerator and denominator by a common factor to reduce the fraction to the equivalent fraction with the smallest possible numerator and denominator.

The printable fraction page below contains more support, examples and practice about simplifying fractions.

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