Question

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

• A. $\frac{2}{6}$
• B. $\frac{3}{9}$
• C. $\frac{9}{6}$
• D. $\frac{12}{9}$

Answer 1

The correct option is C $\frac{9}{6}$

Let the number to be added be $x.$

$\frac{-2}{3}+x=\frac{5}{6}$

$\Rightarrow x=\frac{5}{6}+\frac{2}{3}$

LCM of 3 and 6 is 6 itself.

$\therefore x=\frac{5}{6}+\frac{2\times 2}{3\times 2}$

$\Rightarrow x=\frac{5}{6}+\frac{4}{6}=\frac{9}{6}$

Hence, $\frac{9}{6}$ should be added to $\frac{-2}{3}$ to make it $\frac{5}{6}.$