Multiplying Mixed Fractions

Welcome to the Math Salamanders Multiplying Mixed Fractions.

Here you will find a wide range of free printable fraction Worksheets which will help your child understand how to multiply mixed fractions (or mixed numbers) together.

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.

Multiplying Mixed Fractions

Here you will find a selection of Fraction worksheets designed to help your child understand how to multiply a mixed fraction by another fraction, or to multiply a mixed 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 mixed fractions, they should be confident with multiplying fractions which are not mixed, as well as converting improper fractions to mixed numbers, and using simplest form.

Using these sheets will help your child to:

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

To multiply fractions (which are not mixed fractions) is an easier job - use the link below!

Multiplying Fractions Calculator

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.



Multiply Fractions

Answer Answer

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

How to Multiply Mixed Fractions Support

Frazer the Fraction Salamander says "To multiply a mixed fraction (or mixed number) by another fraction, follow these 3 easy steps."

Frazer the Fraction Salamander

Step 1

Convert the mixed fraction into an improper fraction. If both fractions are mixed fractions, then change them both into improper fractions.

Convert any integers (whole numbers) into fractions by putting them over a denominator of 1.

Step 2

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

Step 3 (Optional)

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

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

Examples

Example 1) Multiply   1 2 3 by   3 1 2

Step 1) Convert both fractions to improper fractions

1 2 3 x   3 1 2 =     5 3 x   7 2

Step 2) Multiply the numerators and the denominators together.

5 3 x   7 2 =     5x7 3x2 =     35 6

Step 3) Convert back to a mixed fraction.

35 6 =     5 5 6

Example 2) Multiply   4 2 7 by   5

Step 1) Convert both fractions to improper fractions

4 2 7 x   5   = 30 7 x   5 1

Step 2) Multiply the numerators and the denominators together.

30 7 x   5 1 =     30x5 7x1 =     150 7

Step 3) Convert back to a mixed fraction.

150 7 =   21 3 7

How to Multiply Mixed Fractions Printable Sheet

Multiplying Mixed Fractions Worksheets

Multiplying and Dividing Fractions

To multiply two fractions together, simply multiply the two numerators together, then multiply the 2 denominators together.

To divide one fraction by a second fraction, you need to invert the numerator and denominator of the second fraction so that the 'old denominator' is on the top, and the 'old numerator' is on the bottom half of the fraction. They can then be multiplied together to give an answer.

The printable fraction pages below contains more support, examples and practice multiplying and dividing fractions.

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.

Simplifying Fractions

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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