Question
Evaluate: $\frac{-7}{6}+\frac{4}{-15}+\frac{-4}{-30}$

Answer


$\begin{aligned} & \frac{-7}{6}+\frac{4}{-15}+\frac{-4}{-30} \\ & =\frac{-7}{6}+\frac{-4}{15}+\frac{4}{30} \\ & =\frac{-7 \times 5}{6 \times 5}+\frac{-4 \times 2}{15 \times 2}+\frac{4 \times 1}{30 \times 1} \quad(\because \text { L.C.M. of } 6,15,30=30) \\ & =\frac{-35}{30}+\frac{-8}{30}+\frac{4}{30} \\ & =\frac{-35-8+4}{30} \\ & =\frac{-43+4}{30}=\frac{-39}{30}\end{aligned}$

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