Subtract the following fractions:
(i) $\frac{2}{5} - \frac{1}{5}$; (ii) $\frac{2}{3} - \frac{1}{2}$
Given :
The given fractions are, (i) $\frac{2}{5} - \frac{1}{5}$ (ii) $\frac{2}{3} - \frac{1}{2}$.
To do :
We have to subtract the given fractions.
Solution :
(i)$\frac{2}{5} - \frac{1}{5}= \frac{(2-1)}{5} = \frac{1}{5}$
(ii) $\frac{2}{3}- \frac{1}{2}$
LCM of 3 and 2 is 6
$\frac{2}{3}=\frac{2\times2}{2\times3}=\frac{4}{6}$
$\frac{1}{2}=\frac{1\times3}{2\times3}=\frac{3}{6}$
Therefore,
$\frac{2}{3}- \frac{1}{2} =\frac{4}{6} -\frac{3}{6}= \frac{(4-3)}{6}=\frac{1}{6}$.
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