Question
Compare: $\frac{-3}{8}$ and $\frac{2}{5}$
✓
Answer
$\frac{-3}{8}$ and $\frac{2}{5}$
$-3 \times 5$ and $2 \times 8$
$\left(\therefore \frac{a}{b}\right.$ and $\frac{c}{d} \Rightarrow \mathrm{a} \times \mathrm{d}$ and $\left.\mathrm{b} \times \mathrm{c}\right)$
$-15<16 \quad(\because \mathrm{a} \times \mathrm{d}<\mathrm{b} \times \mathrm{c})$
$\therefore-\frac{3}{8}<\frac{2}{5}$
$-3 \times 5$ and $2 \times 8$
$\left(\therefore \frac{a}{b}\right.$ and $\frac{c}{d} \Rightarrow \mathrm{a} \times \mathrm{d}$ and $\left.\mathrm{b} \times \mathrm{c}\right)$
$-15<16 \quad(\because \mathrm{a} \times \mathrm{d}<\mathrm{b} \times \mathrm{c})$
$\therefore-\frac{3}{8}<\frac{2}{5}$
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