Question

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

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

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
$$\begin{gathered} \therefore \frac{a}{b}<\frac{c}{d} \\ \therefore \frac{7}{11}<\frac{3}{4} \end{gathered}$$