Dividing Fractions

Front

What is dividing fractions?

Back

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

Front

How do you find the reciprocal of a fraction?

Back

To find the reciprocal of a fraction, swap its numerator and denominator.

Front

What is the reciprocal of 1/2?

Back

The reciprocal of 1/2 is 2/1 or simply 2.

Front

What is the first step in dividing fractions?

Back

The first step is to multiply the first fraction by the reciprocal of the second fraction.

Front

Calculate: 4/9 ÷ 1/2

Back

4/9 ÷ 1/2 = 4/9 × 2/1 = 8/9.

Front

Calculate: 1/4 ÷ 1/2

Back

1/4 ÷ 1/2 = 1/4 × 2/1 = 2/4 or 1/2.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.

Front

What is the lowest term of 6/40?

Back

The lowest term of 6/40 is 3/20.

Front

Calculate: 6/7 ÷ 3/7

Back

6/7 ÷ 3/7 = 6/7 × 7/3 = 2.

Front

Calculate: 2/5 ÷ 3/4

Back

2/5 ÷ 3/4 = 2/5 × 4/3 = 8/15.