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Simplify the following :$\frac{5}{2} - \frac{3}{5} \times \frac{7}{2} + \frac{3}{5} \times \frac{-2}{3}$
Given :
$\frac{5}{2} - \frac{3}{5} \times \frac{7}{2} + \frac{3}{5} \times \frac{-2}{3}$ is the given expression.
To do :
We have to simplify the given expression.
Solution :
We use BODMAS method in these type of problems.
$\frac{5}{2} - \frac{3}{5} \times \frac{7}{2} + \frac{3}{5} \times \frac{-2}{3} = \frac{5}{2} - \frac{21}{10} + \frac{-2}{5}$
$= \frac{5}{2} - \frac{21}{10} - \frac{2}{5}$
LCM of 2,10 and 5 is 10.
$\frac{5}{2} - \frac{3}{5} \times \frac{7}{2} + \frac{3}{5} \times \frac{-2}{3} = \frac{5}{2} - \frac{21}{10} - \frac{2}{5}$
$= \frac{(5\times05-21-2\times2)}{10}$
$= \frac{(25-21-4)}{10}$
$= \frac{0}{10}$
$= 0$.
The simplified value of $\frac{5}{2} - \frac{3}{5} \times \frac{7}{2} + \frac{3}{5} \times \frac{-2}{3}$ is $0$.
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