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How to divide 2 fractions. Fraction help.

Updated on March 27, 2013

Dividing Fractions Video


The division of fractions can be carried out using the following three steps:

Step A Change the division sign into a multiplication sign.

Step B Turnover the second fraction (swap the numerator and denominator around).

Step C Next multiply the numerators and denominators to get your final answer. Simplify the final fraction if possible.

Let’s put these three steps into practice.

Question 1

Work out 5/9 ÷ 3/7

Step A Change the division sign into a multiplication sign.

Step B Turnover the second fraction (swap the numerator and denominator around).

It’s better to carry out these first two steps simultaneously.

5/9 ÷ 3/7 = 5/9 × 7/3

Step C Next multiply the numerators and denominators to get your final answer. Simplify the final fraction if possible.

5 × 7 = 35

9 × 3 = 27

5/9 × 3/7 = 15/63 = 35/27 or 1 8/27 (this fraction cannot be simplified).

Question 2

Work out 4/3 ÷ 2/9

Step A Change the division sign into a multiplication sign.

Step B Turnover the second fraction (swap the numerator and denominator around).

It’s better to carry out these first two steps simultaneously.

4/3 ÷ 2/9 = 4/3 × 9/2

Step C Next multiply the numerators and denominators to get your final answer. Simplify the final fraction if possible.

4 × 9 = 36

3 × 2 = 6

4/3 × 9/2 = 36/6 = 6/1 = 6 (divide the numerator and denominator by 6 to simplify).

Question 3

Work out 7/11 ÷ 1/8

Step A Change the division sign into a multiplication sign.

Step B Turnover the second fraction (swap the numerator and denominator around).

It’s better to carry out these first two steps simultaneously.

7/11 ÷ 1/8 = 7/11 × 8/1

Step C Next multiply the numerators and denominators to get your final answer. Simplify the final fraction if possible.

7 × 8 = 56

11 × 1 = 11

7/11 × 8/1 = 56/11 or 5 1/11

Question 4

Work out 10 ÷ 2/3

10 can be written as a fraction by putting 1 on the denominator (10 = 10/1)

Step A Change the division sign into a multiplication sign.

Step B Turnover the second fraction (swap the numerator and denominator around).

It’s better to carry out these first two steps simultaneously.

10/1 ÷ 2/3 = 10/1 × 3/2

Step C Next multiply the numerators and denominators to get your final answer. Simplify the final fraction if possible.

10 × 3 = 30

1 × 2 = 2

10/1 × 3/2 = 30/2 = 15/1 = 15

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