Question

Equalise the denominators to determine which number is bigger and which smaller.

(2) $\frac{15}{8},\frac{9}{4}$

Answer 1

$\frac{15}{8},\frac{9}{4}$
L.C.M of 8 and 4 is 8.
$$\begin{gathered} \therefore \frac{15}{8}=\frac{15\times 1}{8\times 1}=\frac{15}{8} \\ \mathrm{And}\frac{9}{4}=\frac{9\times 2}{4\times 2}=\frac{18}{8} \end{gathered}$$
Denominators of both the numbers are same; therefore, the rational number with the greater numerator will be greater.
$$\begin{gathered} \therefore \frac{18}{8}>\frac{15}{8} \\ \therefore \frac{9}{4}>\frac{15}{8} \end{gathered}$$