Question
Compare: $\frac{-7}{8}$ and $\frac{5}{-6}$

Answer


$\begin{aligned} & \frac{-7}{8} \text { and } \frac{5}{-6} \\ & -7 \times-6 \text { and } 5 \times 8 \\ & \left(\therefore \frac{a}{b} \text { and } \frac{c}{d} \Rightarrow \mathrm{a} \times \mathrm{d} \text { and } \mathrm{b} \times \mathrm{c}\right) \\ & 42>40 \quad(\because \mathrm{a} \times \mathrm{d}>\mathrm{b} \times \mathrm{c}) \\ & \therefore \frac{-7}{8}>\frac{5}{-6}\end{aligned}$

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