Question

Solve $\frac{2}{5}\times (-\frac{3}{7})-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

• A. $\frac{11}{28}$
• B. $\frac{-13}{28}$
• C. $\frac{-11}{28}$
• D. $\frac{13}{28}$
  

Answer 1

The correct option is C $\frac{-11}{28}$

$\frac{2}{5}\times (-\frac{3}{7})-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

$=-\frac{6}{35}-\frac{1}{2}\times \frac{1}{2}+\frac{1}{7}\times \frac{1}{5}$

$=-\frac{6}{35}-\frac{1}{4}+\frac{1}{35}$

$=\frac{-6\left(4\right)-35+4}{35\times 4}$

$=\frac{-24-35+4}{35\times 4}$

$=\frac{-55}{35\times 4}$

$=\frac{-11}{7\times 4}$

$=\frac{-11}{28}$