Question
Add: $\frac{-9}{25}$ and $\frac{1}{-75}$

Answer


$\begin{aligned} & \frac{-9}{25} \text { and } \frac{1}{-75}=\frac{-9}{25}+\frac{-1}{75} \\ & =\frac{-9 \times 3}{25 \times 3}+\frac{-1 \times 1}{75 \times 1} \\ & (\because \text { L.C.M. of } 25 \text { and } 75=75) \\ & =\frac{-27}{75}+\frac{-1}{75} \\ & =\frac{(-27)+(-1)}{75}=\frac{-27-1}{75}=\frac{-28}{75}\end{aligned}$

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