Question

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

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

Answer 1

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

Let the number to be subtracted by 'x'. Then,
$\frac{-2}{3}-x=\frac{5}{6}\Rightarrow \frac{-2}{3}=\frac{5}{6}+x\Rightarrow x=\frac{-2}{3}-\frac{5}{6}=\frac{-2}{3}+\frac{-5}{6}=\frac{(-4)+(-5)}{6}=\frac{-9}{6}=\frac{-3}{2}$
Hence, the required number is $\frac{-3}{2}$