Question

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

(6) $\frac{2}{3},\frac{3}{4}$

Answer 1

$\frac{2}{3},\frac{3}{4}$
L.C.M of 3 and 4 is 12.
$$\begin{gathered} \therefore \frac{2}{3}=\frac{2\times 4}{3\times 4}=\frac{8}{12} \\ \mathrm{And}\frac{3}{4}=\frac{3\times 3}{4\times 3}=\frac{9}{12} \end{gathered}$$
Denominators of both the numbers are same; therefore, the rational number with the greater numerator will be greater.
$$\begin{gathered} \therefore \frac{9}{12}>\frac{8}{12} \\ \therefore \frac{3}{4}>\frac{2}{3} \end{gathered}$$