Question
Evaluate: $-2+\frac{2}{5}+\frac{-2}{15}$
✓
Answer
$\begin{aligned} & -2+\frac{2}{5}+\frac{-2}{15} \\ & \frac{-2}{1}+\frac{2}{5}+\frac{-2}{15} \\ & =\frac{-2 \times 15}{1 \times 15}+\frac{2 \times 3}{5 \times 3}+\frac{-2 \times 1}{15 \times 1} \quad(\because \text { L.C.M. of } 1,5,15=15) \\ & =\frac{-30}{15}+\frac{6}{15}+\frac{-2}{15} \\ & =\frac{-30+6-2}{15} \\ & =\frac{-32+6}{15}=\frac{-26}{15}\end{aligned}$
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