The difference of $${\text{1}}\frac{3}{{16}}$$  and its reciprocal is equal to = ?

A. $$1\frac{1}{8}$$

B. $$\frac{4}{3}$$

C. $$\frac{{15}}{{16}}$$

D. None of these

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\text{Required differnce}} \cr & {\text{ = }}\frac{{19}}{{16}} - \frac{{16}}{{19}} = \frac{{{{19}^2} - {{16}^2}}}{{304}} \cr & = \frac{{\left( {19 + 16} \right)\left( {19 - 16} \right)}}{{304}} \cr & = \frac{{35 \times 3}}{{304}} \cr & = \frac{{105}}{{304}} \cr} $$