Question

Subtract the additive inverse of $\frac{5}{6}$ from the multiplicative inverse of $\frac{-5}{7}\times \frac{14}{15}$.

• A. $\frac{3}{2}$
• B. $\frac{-2}{3}$
• C. $\frac{-3}{2}$
• D. $\frac{2}{3}$

Answer 1

The correct option is B $\frac{-2}{3}$

$Additiveinverseof\frac{5}{6}=-\frac{5}{6}Now\frac{-5}{7}\times \frac{14}{15}=-\frac{2}{3}Multiplicativeinverseof-\frac{2}{3}=-\frac{3}{2}nowsubtractingaddtiveinversefrommultiplicativeinverse-\frac{3}{2}-(-\frac{5}{6})=-\frac{2}{3}$

So correct answer will be option B