Question

What should be subtracted from $\frac{-1}{6}$ to get $\frac{7}{12}$?

• A. $\frac{3}{4}$
• B. $\frac{-3}{4}$
• C. $\frac{4}{3}$
• D. $\frac{-4}{3}$

Answer 1

The correct option is B $\frac{-3}{4}$

Let the number to be subtracted by $x$. Then,
$\frac{-1}{6}-x=\frac{7}{12}\Rightarrow \frac{-1}{6}=\frac{7}{12}+x\Rightarrow x=\frac{-1}{6}-\frac{7}{12}\Rightarrow x=\frac{-1}{6}+\frac{-7}{12}\Rightarrow x=\frac{(-2)+(-7)}{12}=\frac{-9}{12}=\frac{-3}{4}$
Hence, the required number is $\frac{-3}{4}$.