# How to Divide FractionsSupport Page

Welcome to our How to Divide Fractions support page.

On this page you will find a range of Dividing Fractions sheets, including support sheets and practice sheets which will help your child learn how to divide one fraction by another.

## How to Divide Fractions

### How to Divide Fractions Support

For those of you who like to see some algebra, here is the simple formula for dividing two fractions:

Formula for dividing two fractions

${a \over b} \div {c \over d} = {ad \over bc}$

Frazer says "To divide a fraction by another fraction, follow these three easy steps."

Step 1

If any of the fractions are mixed fractions, then first convert them into improper fractions.

Invert (swap) the numerator and denominator of the dividend fraction (the fraction after the ÷ sign) and change the operand to a 'x' instead of a '÷' .

Step 2

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

You should have now found your fraction of a number!

Step 3 - optional

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

### How to divide fractions printable sheets

#### How to Divide Fractions Examples

Example 1) Calculate   ${3 \over 5} ÷ {2 \over 7}$

Step 1)

${3 \over 5} ÷ {2 \over 7} = {3 \over 5} \times {7 \over 2}$

Step 2)

${3 \over 5} \times {7 \over 2} = {3 \times 7 \over 5 \times 2} = {21 \over 10}$

Step 3)

Answer in simplest form is: ${21 \over 10} \; or \; 2 {1 \over 10}$

Final answer: ${3 \over 5} ÷ {2 \over 7} \; = \; {21 \over 10} \; or \; 2 {1 \over 10}$

Example 2) Calculate   ${9 \over 4} ÷ {3 \over 5}$

Step 1)

${9 \over 4} ÷ {3 \over 5} = {9 \over 4} \times {5 \over 3}$

Step 2)

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

Step 3)

Simplify Answer: ${45 \over 12} \; = \; {15 \over 4} \; or \; 3 {3 \over 4}$

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

Example 3) Calculate   ${4 \over 7} ÷ {1 \over 3}$

Step 1)

${4 \over 7} ÷ {1 \over 3} = {4 \over 7} \times {3 \over 1}$

Step 2)

${4 \over 7} \times {3 \over 1} = {4 \times 3 \over 7 \times 1} = {12 \over 7}$

Step 3)

Answer in simplest form is: ${12 \over 7} \; or \; 1 {5 \over 7}$

Final answer: ${4 \over 7} ÷ {1 \over 3} \; = \; {12 \over 7} \; or \; 1 {5 \over 7}$

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