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 $\mathrm{x}$ be the number that is subtracted:

$\begin{array}{rcl}\therefore \frac{27}{13}-\mathrm{x}& =& \frac{-3}{7}\\ \mathrm{x}& =& \frac{27}{13}+\frac{3}{7}\\ \mathrm{x}& =& \frac{27\times 7+13\times 3}{91}\\ \mathrm{x}& =& \frac{189+39}{91}\\ \mathrm{x}& =& \frac{228}{91}\end{array}$

Therefore, the correct option is A.