-2/5 (-7/10 + 1/6) = ......................

Question

\(\frac{-2}{5} (\frac{-7}{10}\, + \frac{1}{6})\) = ....................

-2/5 (-7/10 + 1/6) = ......................

A) \(\frac{-11}{75}\)

B) \(\frac{-16}{75}\)

C) \(\frac{-14}{75}\)

D) \(\frac{-15}{75}\)

Answer 1

Correct option is (B)  16/75

\(\frac{-2}{5}(\frac{-7}{10}+\frac{1}{6})\) \(=\frac{-2}{5}(\frac{-7\times3+1\times5}{30})\) \(=\frac{-2}{5}\times\frac{-21+5}{30}\) \(=\frac{-2}{5}\times\frac{-16}{30}\) \(=\frac{-1\times-16}{5\times15}=\frac{16}{75}.\)

Answer 2

Correct option is   B) \(\frac{-16}{75}\)