Question

The difference of 1(5/16) and it's reciprocal is equal to

Answer 1

Firstly lets convert given mixed fraction into improper fraction

1(5/16 = ( (16 × 1) + 5 ) / 16 = 21/16

reciprocal of 21/16 is 16/21

difference = 21/16 - 16/21 = (21² - 16²)/(21×16) = 185/336

Hence difference = 185/336