Question

Solve:

$-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$

Answer 1

Given:

$$\begin{gathered} -\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6} \\ \Rightarrow -\frac{2}{5}+\frac{5}{2}-\frac{1}{10} \end{gathered}$$

LCM of $(5,2,10)=2\times 5=10$ ( on taking LCM of the denominator )

$$\begin{gathered} \Rightarrow \frac{-2\times 2+5\times 5-1\times 1}{10}=\frac{-4+25-1}{10} \\ \Rightarrow \frac{20}{10}=2 \end{gathered}$$

Hence, $2$ will be the correct answer.