Convert the following fractions into like fractions : $\frac{3}{5} , \frac{7}{10}, \frac{8}{5} and \frac{11}{30}$
Given :
The given fractions are $\frac{3}{5} , \frac{7}{10}, \frac{8}{5} and \frac{11}{30}$
To do :
We have to convert the given fractions into like fractions.
Solution :
Find the LCM of denominators.
LCM of 5,10,5 and 30 is
$5 = 1\times 5$
$10 = 2\times 5$
$30 = 2\times 3\times 5$
LCM of 5,10,5 and 30 = 30.
$\frac{3}{5} = \frac{3\times6}{5\times6} = \frac{18}{30}$
$\frac{7}{10} = \frac{7\times3}{10\times3} = \frac{21}{30}$
$\frac{8}{5} = \frac{8\times6}{5\times6} = \frac{48}{30}$
$\frac{11}{30} = \frac{11}{30}$
$\frac{3}{5} , \frac{7}{10}, \frac{8}{5} and \frac{11}{30}$ in like fractions are $\frac{18}{30}, \frac{21}{30}, \frac{48}{30} and \frac{11}{30}$
respectively.
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