Question

Compare the fractions given below:
$\frac{11}{12},\frac{13}{15}$

Answer 1

L.C.M. of 12 and 15 = (2 $\times$ 2 $\times$ 3 $\times$ 5) = 60
Now, we convert $\frac{11}{12}\mathrm{and}\frac{13}{15}$ into equivalent fractions having 60 as the denominator.
∴​ $\frac{11}{12}=\frac{11\times 5}{12\times 5}=\frac{55}{60}\mathrm{and}\frac{13}{15}=\frac{13\times 4}{15\times 4}=\frac{52}{60}$4949

Clearly, $\frac{55}{60}>\frac{52}{60}$
$\therefore$ $\frac{11}{12}>\frac{13}{15}$