Question

Convert $\frac{1}{4},\frac{5}{8},\frac{7}{12}\mathrm{and}\frac{13}{24}$ into like fractions.

Answer 1

The given fractions are $\frac{1}{4},\frac{5}{8},\frac{7}{12}\mathrm{and}\frac{13}{24}.$
L.C.M. of 4, 8, 12 and 24 = (4 $\times$ 2 $\times$ 3) = 24
So, we convert the given fractions into equivalent fractions with 24 as the denominator.
(But one of the fractions already has 24 as the denominator. So, there is no need to convert it into an equivalent fraction.)
Thus, we have:
$\frac{1}{4}=\frac{1\times 6}{4\times 6}=\frac{6}{24};\frac{5}{8}=\frac{5\times 3}{8\times 3}=\frac{15}{24};\frac{7}{12}=\frac{7\times 2}{12\times 2}=\frac{14}{24}$

Hence, the required like fractions are $\frac{6}{24},\frac{15}{24},\frac{14}{24}\mathrm{and}\frac{13}{24}.$