Question

If $\frac{999}{13}$ is represented in form of $a\frac{b}{13}$, then the value of a and b is ____ and ____ respectively.

• A. 76, 11
• B. 86, 11
• C. 76, 12
• D. 86, 12

Answer 1

The correct option is A

76, 11

Here, we need to convert the improper fraction $\frac{999}{13}$ to a mixed fraction $a\frac{b}{13}$.

Divide 999 by 13 to convert it to a mixed fraction.

$\Rightarrow \frac{999}{13}=\frac{(13\times 76)+11}{13}$

$\Rightarrow \frac{999}{13}=76\frac{11}{13}$

On comparing the mixed fractions $a\frac{b}{13}$ and $76\frac{11}{13}$, we get

a = 76 and b = 11