Multiplying Fractions

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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.

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5th Grade Math Learning

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 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;

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

If you need to multiply 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 Fractions Support

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

Frazer the Fraction Salamander

Step 1

If the number is an integer (whole number), then put it over 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.

Examples

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.

How to Multiply Fractions Printable Sheet

Multiplying Fractions by an Integer Worksheets

Multiplying Fractions Worksheets

Multiplying Mixed Fractions Worksheets

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.

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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