Question
Add: $\frac{-5}{6}$ and $\frac{4}{9}$

Answer


$\begin{aligned} & \frac{-5}{6} \text { and } \frac{4}{9}=\frac{-5}{6}+\frac{4}{9} \\ & =\frac{-5 \times 3}{6 \times 3}+\frac{4 \times 2}{9 \times 2} \\ & (\because \text { L.C.M. of } 6 \text { and } 9=18) \\ & =\frac{-15}{18}+\frac{8}{18} \\ & =\frac{-15+8}{18} \\ & =\frac{-7}{18}\end{aligned}$

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