Compute: 1 1/6 ÷1/2 . Convert the answer to a mixed number in simplest form.

1 answer

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.

Reciprocal of 1/2 is 2/1.

1 1/6 × 2/1 = 13/6 × 2/1 = 26/6 = 4 2/6.

To simplify this mixed number, we divide the numerator and denominator by their greatest common divisor, which is 2.

26/6 ÷ 2/2 = 13/3.

Therefore, 1 1/6 ÷ 1/2 = 13/3 in simplest form.