Dividing Fractions by Fractions

Front

What is dividing fractions by fractions?

Back

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

Solve: 1/2 ÷ 1/4

Back

1/2 ÷ 1/4 = 1/2 × 4/1 = 2.

Front

What is the rule for Dividing Fractions?

Back

Keep, Change, Flip.

Front

What does 'Keep' mean in the rule?

Back

'Keep' means to keep the first fraction as it is.

Front

What does 'Change' mean in the rule?

Back

'Change' means to change the division sign to multiplication.

Front

What does 'Flip' mean in the rule?

Back

'Flip' means to take the reciprocal of the second fraction.

Front

Solve: 3/5 ÷ 2/3

Back

3/5 ÷ 2/3 = 3/5 × 3/2 = 9/10.

Front

What is the reciprocal of 2/3?

Back

The reciprocal of 2/3 is 3/2.

Front

Solve: 4/5 ÷ 1/2

Back

4/5 ÷ 1/2 = 4/5 × 2/1 = 8/5.