Question
Compare: $\frac{5}{-9}$ and $\frac{-5}{-9}$
✓
Answer
$\begin{aligned} & \frac{5}{-9} \text { and } \frac{-5}{-9} \\ & 5 \times-9 \text { and }-5 \times-9 \\ & \left(\therefore \frac{a}{b} \text { and } \frac{c}{d} \Rightarrow \mathrm{a} \times \mathrm{d} \text { and } \mathrm{b} \times \mathrm{c}\right) \\ & -45<45 \quad(\because \mathrm{a} \times \mathrm{d}<\mathrm{b} \times \mathrm{c}) \\ & \therefore \frac{5}{-9}<\frac{-5}{-9}\end{aligned}$
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