Question

Use the rules to determine which number is bigger and which is smaller.

(3) $\frac{-7}{11},\frac{-3}{4}$

Answer 1

$\frac{-7}{11},\frac{-3}{4}$
$\mathrm{Let}\frac{-7}{11}=\frac{a}{b}\mathrm{and}\frac{-3}{4}=\frac{c}{d}$
Then, a × d = −7 × 4 = −28
And b × c = 11 × −3 = −33
−28 > −33
∴ a × d > b × c
$$\begin{gathered} \therefore \frac{a}{b}>\frac{c}{d} \\ \therefore \frac{-7}{11}>\frac{-3}{4} \end{gathered}$$