Question

$2.\overline{6}-0.\overline{82}$

• A. $\frac{182}{99}$
• B. $\frac{180}{999}$
• C. $\frac{175}{99}$
• D. $\frac{184}{999}$

Answer 1

The correct option is A $\frac{182}{99}$

$2.\overline{6}-0.\overline{82}$
$2\frac{6}{9}-\frac{82}{99}=2\frac{66}{99}-\frac{82}{99}$
$\frac{264}{99}-\frac{82}{99}=\frac{182}{99}$
Answer (A) $\frac{182}{99}$