Question

Convert $\frac{3}{5},\frac{7}{10},\frac{8}{15}\mathrm{and}\frac{11}{30}$ into like fractions.

Answer 1

The given fractions are $\frac{3}{5},\frac{7}{10},\frac{8}{15}\mathrm{and}\frac{11}{30}.$


L.C.M. of 5, 10, 15 and 30 = (5 $\times$ 2 $\times$ 3) = 30
So, we convert the given fractions into equivalent fractions with 30 as the denominator.
(But, one of the fractions already has 30 as its denominator. So, there is no need to convert it into an equivalent fraction.)
Thus, we have:
$\frac{3}{5}=\frac{3\times 6}{5\times 6}=\frac{18}{30};\frac{7}{10}=\frac{7\times 3}{10\times 3}=\frac{21}{30};\frac{8}{15}=\frac{8\times 2}{15\times 2}=\frac{16}{30}$

Hence, the required like fractions are $\frac{18}{30},\frac{21}{30},\frac{16}{30}\mathrm{and}\frac{11}{30}.$