Question

The reciprocal of a proper fraction is a proper fraction. Say true or false.

• A. True
• B. False

Answer 1

The correct option is B False

The reciprocal of a proper fraction is an improper fraction.

Let us consider a proper fraction $\frac{3}{7}$

Reciprocal of $\frac{3}{7}$$=\frac{1}{{\displaystyle \frac{3}{7}}}=1\times \frac{7}{3}=\frac{7}{3}$

So, Reciprocal of $\frac{3}{7}$is $\frac{7}{3}$, that is an improper fraction.

Hence, The reciprocal of a proper fraction is an improper fraction.