Question

What should be added to $\frac{-5}{7}$ to get $\frac{-2}{3}$?

• A. $\frac{-1}{21}$
• B. $\frac{1}{21}$
• C. $\frac{125}{8}$
• D. None of these

Answer 1

The correct option is B $\frac{1}{21}$

Let x should be added to $\frac{-5}{7}$ to get $\frac{-2}{3}$.

$\therefore \frac{-5}{7}+x=\frac{-2}{3}$

$\Rightarrow x=\frac{-2}{3}-\left(\frac{-5}{7}\right)$

$\Rightarrow x=\frac{-2}{3}+\frac{5}{7}$

$\Rightarrow x=\frac{-14+15}{21}$

$\Rightarrow x=\frac{1}{21}$

Hence, $\frac{1}{21}$ should be added to $\frac{-5}{7}$ to get $\frac{-2}{3}$.