# How do you Multiply FractionsSupport Page

Welcome to our How do you Multiply Fractions support page.

This page will support you in learning how to multiply two fractions together, and show you some worked examples.

## How do you Multiply Fractions

### How do you Multiply Fractions Support

Frazer says "To multiply a fraction by another fraction, follow these simple steps." Before you start:

• Convert any mixed numbers into improper fractions;
• Put any integers over a denominator of 1.

Step 1

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

Step 2

You should have now found your fraction of a number!

#### Examples

Example 1) Calculate   ${3 \over 5} \times {4 \over 9}$

Step 1)

${3 \over 5} \times {4 \over 9} = {3 \times 4 \over 5 \times 9} = {12 \over 45}$

Step 2)

Simplify the answer by dividing numerator and denominator by 3: ${12 \over 45} \; = \; {4 \over 15}$

Final answer: ${3 \over 5} \times {4 \over 9} \; = \; {4 \over 15}$

Example 2) Calculate   ${2 \over 5} \times {5 \over 8}$

Step 1)

${2 \over 5} \times {5 \over 8} = {2 \times 5 \over 5 \times 8} = {10 \over 40}$

Step 3)

Simplify the answer by dividing numerator and denominator by 10: ${10 \over 40} \; = \; {1 \over 4}$

Final answer: ${2 \over 5} \times {5 \over 8} \; = \; {1 \over 4}$

Example 3) Calculate   ${7 \over 4} \times {8 \over 5}$

Step 1)

${7 \over 4} \times {8 \over 5} = {7 \times 8 \over 4 \times 5} = {56 \over 20}$

Step 3)

Simplify the answer by dividing numerator and denominator by 4: ${56 \over 20} \; = \; {14 \over 5} \; or \; 2 {4 \over 5}$

Final answer: ${7 \over 4} \times {8 \over 5} \; = \; {14 \over 5} \; or \; 2 {4 \over 5}$

Example 4) Calculate   ${11 \over 7} \times 8$

First we need to put the integer over a denominator of 1. $8 = {8 \over 1}$

Step 1)

${11 \over 7} \times {8 \over 1} = {11 \times 8 \over 7 \times 1} = {88 \over 7}$

Step 3)

This fraction is already in its simplest form, but we can convert it into a mixed number: ${88 \over 7} \; = \; 12 {4 \over 7}$

Final answer: ${11 \over 7} \times 8 \; = \; {88 \over 7} \; or \; 12 {4 \over 7}$

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