Question

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

(7) $\frac{27}{18},\frac{5}{4}$

Answer 1

$$\begin{gathered} \frac{27}{18},\frac{5}{4} \\ \mathrm{Let}\frac{27}{18}=\frac{a}{b}\mathrm{and}\frac{5}{4}=\frac{c}{d} \end{gathered}$$
Then, a × d = 27 × 4 = 108
And b × c = 18 × 5 = 90
108 > 90
∴ a × d > b × c
$$\begin{gathered} \therefore \frac{a}{b}>\frac{c}{d} \\ \therefore \frac{27}{18}>\frac{5}{4} \end{gathered}$$