The difference of 1 316 and its reciprocal is equal to = ?

Answer: Option D

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