Question

The number which is subtracted from $\frac{27}{13}$ to get $\frac{-3}{7}$ is _____________.

• A. $\frac{228}{91}$
• B. $\frac{1}{91}$
• C. $\frac{200}{91}$
• D. $\frac{198}{91}$

Answer 1

The correct option is A $\frac{228}{91}$

Let's say the number is $a$

Thus $\frac{27}{13}-a=-\frac{3}{7}$

$\Rightarrow a=\frac{27}{13}+\frac{3}{7}$

$\Rightarrow a=\frac{27\times 7+3\times 13}{13\times 7}$

$\Rightarrow a=\frac{228}{91}$