Question
Evaluate: $\left(\frac{8}{15} \times \frac{-25}{16}\right)+\left(\frac{-18}{35} \times \frac{5}{6}\right)$
✓
Answer
$\begin{aligned} & \left(\frac{8}{15} \times \frac{-25}{16}\right)+\left(\frac{-18}{35} \times \frac{5}{6}\right) \\ & \Rightarrow \frac{8 \times(-25)}{15 \times 16}+\frac{-18 \times 5}{35 \times 6} \\ & \Rightarrow \frac{1 \times(-5)}{3 \times 2}+\frac{-3 \times 1}{7 \times 1} \\ & \Rightarrow \frac{-5}{6}-\frac{3}{7}\end{aligned}$
| 2 | 6,7 |
| 3 | 3,7 |
| 7 | 1,7 |
| 1,1 |
L.C.M. of 6 and $7=2 \times 3 \times 7=42$
$(\because$ L.C.M. of 6 and $7=42)$
$ \Rightarrow \frac{-5 \times 7}{6 \times 7}+\frac{3 \times 6}{7 \times 6} $
$ \Rightarrow \frac{-35-18}{42}=\frac{-53}{42} $
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