Question

Solve $\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$.

• A. $\frac{7}{36}$
• B. $\frac{4}{36}$
• C. $\frac{5}{36}$
• D. $\frac{6}{36}$

Answer 1

The correct option is C

$\frac{5}{36}$

$\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$

$=\frac{1}{3}-\left(\frac{15}{36}\right)+\frac{2}{9}$

$=\frac{1}{3}-\frac{15}{36}+\frac{2}{9}$

Taking L.C.M of denominators, $\frac{12-15+8}{36}=\frac{5}{36}$