Find the reciprocal

Question

7/8 ÷ 1/4
4 ÷ 1/3
3 1/4 ÷ 1 1/3
8 ÷ 2/3

Answer 1

To find the reciprocal of a fraction, you simply flip the fraction upside down (i.e., swap the numerator and denominator).

1) For 7/8 ÷ 1/4:
The reciprocal of 1/4 is 4/1.
So, 7/8 ÷ 1/4 = 7/8 × 4/1 = (7 × 4) / (8 × 1) = 28/8.

2) For 4 ÷ 1/3:
The reciprocal of 1/3 is 3/1.
So, 4 ÷ 1/3 = 4 × 3/1 = 12/1 = 12.

3) For 3 1/4 ÷ 1 1/3:
First, convert both mixed numbers to improper fractions:
3 1/4 = (3 × 4 + 1) / 4 = 13/4
1 1/3 = (1 × 3 + 1) / 3 = 4/3

The reciprocal of 4/3 is 3/4.
So, 3 1/4 ÷ 1 1/3 = 13/4 ÷ 4/3 = 13/4 × 3/4 = (13 × 3) / (4 × 4) = 39/16.

4) For 8 ÷ 2/3:
The reciprocal of 2/3 is 3/2.
So, 8 ÷ 2/3 = 8 × 3/2 = 24/2 = 12.