Question

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

(8) $\frac{13}{9},\frac{13}{10}$

Answer 1

$$\begin{gathered} \frac{13}{9},\frac{13}{10} \\ \mathrm{Let}\frac{13}{9}=\frac{a}{b}\mathrm{and}\frac{13}{10}=\frac{c}{d} \end{gathered}$$
Then, a × d = 13 × 10 = 130
And b × c = 9 × 13 = 117
130 > 117
∴ a × d > b × c
$$\begin{gathered} \therefore \frac{a}{b}>\frac{c}{d} \\ \therefore \frac{13}{9}>\frac{13}{10} \end{gathered}$$