Multiplying Mixed Fractions

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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.

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At Fifth Grade, children enjoy exploring Math with these free 5th Grade Math problems and Math games. Children will enjoy completing these 5th Grade Math Worksheets and playing these Math games whilst learning at the same time.

During Fifth Grade, children learn about factors and prime numbers. They build on their learning of long division and can divide numbers up to 1000 by two digit numbers. They are able to multiply decimals by whole numbers, and are able to work out powers of a number.

Children are able to add and subtract fractions, decimals and mixed numbers, and learn to multiply and divide fractions. They are able to solve multi-step problems involving whole numbers, fractions and decimals.

These free printable Fifth Grade Math Games, and other Math Worksheets for fifth grade will help your child to achieve their Elementary Math benchmark set out by Achieve, Inc.

In the UK, 5th Grade is equivalent to Year 6.

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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;

All the Printable Fraction sheets in this section support the Elementary Math Benchmarks for Fifth Grade.

If you need to multiply fractions, which are not mixed fractions, 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

Multiplying Fractions Worksheets

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

Before you child learns how to multiply mixed fractions, or divide fractions, they should be confident in multiplying two fractions together.

Using these sheets will help your child to:

  • multiply a fraction by an integer;
  • multiply two fractions together.

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

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.

All the Printable Fractions worksheets in this section support the Elementary Math Benchmarks for 4th Grade.

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.

All the free Equivalent Fractions worksheets in this section support the Elementary Math Benchmarks for 4th Grade.

 

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