Question

$\text{should be subtracted from}\frac{-2}{3}\text{to get}\frac{5}{6}?$

• A. $\frac{-3}{2}$
• B. $\frac{3}{2}$
• C. $\frac{2}{3}$

Answer 1

The correct option is A $\frac{-3}{2}$

$\text{Let the number to be subtracted be}x.$

$\text{Then,}\frac{-2}{3}-x=\frac{5}{6}\Rightarrow \frac{-2}{3}=\frac{5}{6}+x\Rightarrow x=\frac{-2}{3}-\frac{5}{6}=\frac{-2}{3}+\frac{-5}{6}\text{By taking the LCM, we get,}=\frac{(-4)+(-5)}{6}=\frac{-9}{6}=\frac{-3}{2}$

$\text{Hence, the required number is}\frac{-3}{2}.$