Question

What should be subtracted from $(\frac{3}{4}-\frac{2}{3})$ to get $\frac{-1}{6}$?

• A. $-\frac{6}{13}$
• B. $\frac{1}{4}$
• C. $\frac{2}{7}$
• D. $-\frac{1}{8}$

Answer 1

The correct option is A $-\frac{6}{13}$

Let $x$ be the no. to be subtracted

$(\frac{3}{4}-\frac{2}{3})-x=\frac{-1}{6}\Rightarrow x=(\frac{3}{4}-\frac{2}{3})+\frac{1}{6}$

$=\left(\frac{9-8}{12}\right)+\frac{1}{6}=\frac{1}{12}+\frac{1}{6}=\frac{1+2}{12}=\frac{3}{12}=\frac{1}{4}$