Question

The value of $0.\overline{32}+0.\overline{3}$ is equal to

• A. $0.\overline{35}$
• B. $0.\overline{62}$
• C. $0.\overline{65}$
• D. $0.\overline{65}$

Answer 1

The correct option is C $0.\overline{65}$

$0.\overline{35}=\frac{32-0}{99}$
$=\frac{32}{99}$
$0.\overline{3}=\frac{3}{9}$
$=\frac{1}{3}$
$0.\overline{32}+0.\overline{3}=\frac{32}{99}+\frac{1}{3}$
$=\frac{32+33}{99}$
$=\frac{65}{99}$
$=\frac{65-0}{99}$
$=0.\overline{65}$
Hence, the correct answer is option (c).