Question

Find the result obained by the addition of
$\frac{2}{3}\text{to the reciprocal of}\frac{-2}{3}.$

• A. $\frac{5}{6}$
• B. $\frac{-5}{6}$
• C. $\frac{6}{7}$
• D. $\frac{-6}{7}$

Answer 1

The correct option is B

$\frac{-5}{6}$

$\text{Reciprocal of}\frac{-2}{3}\text{is}\frac{-3}{2}.$

$\frac{2}{3}-\frac{3}{2}=\frac{4}{6}-\frac{9}{6}=\frac{(4-9)}{6}=\frac{-5}{6}$

[LCM of 2 and 3 is 6]