Question

Compare the fractions given below:
$\frac{4}{9},\frac{5}{6}$

Answer 1

L.C.M. of 9 and 6 = (3 $\times$ 3 $\times$ 2) = 18
Now, we convert $\frac{4}{9}\mathrm{and}\frac{5}{6}$ into equivalent fractions having 18 as the denominator.
∴​ $\frac{4}{9}=\frac{4\times 2}{9\times 2}=\frac{8}{18}\mathrm{and}\frac{5}{6}=\frac{5\times 3}{6\times 3}=\frac{15}{18}$4949

Clearly, $\frac{8}{18}<\frac{15}{18}$
$\therefore$ $\frac{4}{9}<\frac{5}{6}$