Question

Reciprocal of $1\frac{3}{4}$

• A. $4\frac{1}{3}$
• B. $1\frac{4}{3}$
• C. $\frac{4}{7}$
• D. none of these

Answer 1

Answer: (C)

$\frac{4}{7}$

$1\frac{3}{4}$ can also be written as $\frac{1\times 4+3}{4}=\frac{7}{4}$

Reciprocal of a number is a number which when multiplied to original number results in a $1$

Let, $x$ be the reciprocal of $\frac{7}{4}$

$\therefore \frac{7}{4}\times x=1$

$\therefore x=\frac{4}{7}$

Hence, option $C$ is correct.