Question

The difference of \(1 \dfrac{5}{16}\) and its reciprocal is equal to
1. \(\dfrac{441}{256}\)
2. \(\dfrac{256}{441}\)
3. \(\dfrac{185}{336}\)
4. \(\dfrac{336}{185}\)

Answer 1

Correct Answer - Option 3 : \(\dfrac{185}{336}\)

Given

The number is \(1 \dfrac{5}{16}\)

Calculation

\(1 \dfrac{5}{16}\) = 21/16

⇒ Its reciprocal will be 16/21

⇒ Difference = 21/16 - 16/21

⇒ Difference =  185/336

∴ The difference of \(1 \dfrac{5}{16}\) and its reciprocal  is 185/336