Question

Arun reads ${\frac{3}{8}}^{\text{th}}$ of a book in the morning and ${\frac{1}{4}}^{\text{th}}$ of the same book in the evening. What fraction of the book still remains to be read by Arun?

• A. $\frac{1}{4}$
• B. $\frac{5}{8}$
• C. $\frac{3}{8}$
• D. $\frac{1}{8}$

Answer 1

The correct option is C

$\frac{3}{8}$

Fraction of book read by Arun =$\frac{3}{8}+\frac{1}{4}$ $=\frac{3}{8}+\frac{1\times 2}{4\times 2}\text{(LCM of 8 and 4 is 8)}=\frac{3+2}{8}=\frac{5}{8}$
$\therefore$ Fraction of book remaining will be
$=1-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}$
$\therefore$ Fraction of book remaining will be $\frac{3}{8}$.