Question

If $\frac{999}{13}$ is represented in form of $a\frac{b}{13}$, then the values of a and b are:

• A. $a=91\text{and}b=11$
• B. $a=76\text{and}b=11$
• C. $a=72\text{and}b=13$
• D. $a=76\text{and}b=13$

Answer 1

The correct option is B $a=76\text{and}b=11$

Dividing 999 by 13,
13 ) 999 ( 76
91
89
78
11

$\text{Hence,}\frac{999}{13}=76+\frac{11}{13}$
$=76\frac{11}{13}$

$\therefore a=76\text{and}b=11$