Question

What should be subtracted from $\left(\frac{3}{4}-\frac{2}{3}\right)$ 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 B $\frac{1}{4}$

From the given question, we can write that

$\frac{3}{4}-\frac{2}{3}-a=-\frac{1}{6}$

We have to find $a$

$a=\frac{3}{4}-\frac{2}{3}+\frac{1}{6}$

$a=\frac{3\times 3-2\times 4+1\times 2}{12}$

$a=\frac{9-8+2}{12}$

$a=\frac{3}{12}$

$a=\frac{1}{4}$