Question
Add: $\frac{1}{-18}$ and $\frac{5}{-27}$

Answer


$\begin{aligned} & \frac{1}{-18} \text { and } \frac{5}{-27}=\frac{-1}{18}+\frac{-5}{27} \\ & =\frac{-1 \times 3}{18 \times 3}+\frac{-5 \times 2}{27 \times 2} \\ & (\because \text { L.C.M. of } 18 \text { and } 27=54) \\ & =\frac{-3}{54}+\frac{-10}{54} \\ & =\frac{(-3)+(-10)}{54}=\frac{-3-10}{54}=\frac{-13}{54}\end{aligned}$

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