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Simplify:$ \frac{9}{10}+\frac{3}{5}+\frac{7}{15} $
Given :
The given expression is $\frac{9}{10}+\frac{3}{5}+\frac{7}{15}$.
To do :
We have to simplify the given expression.
Solution :
$\frac{9}{10}+\frac{3}{5}+\frac{7}{15}$.
Denominators are different, to make them equal, take LCM.
LCM of 10, 5, 15 is 30.
Therefore,
$\frac{9}{10}+\frac{3}{5}+\frac{7}{15}=\frac{9\times3}{10\times3} + \frac{3\times6}{5\times6} + \frac{7\times2}{15\times2}$
$=\frac{27}{30} + \frac{18}{30} + \frac{14}{30}$
Now, the denominators are same.
This implies,
$\frac{9}{10} + \frac{3}{5} + \frac{7}{15}=\frac{27 + 18 + 14}{30}$
$=\frac{59}{30}$
The value of $\frac{9}{10}+\frac{3}{5}+\frac{7}{15}$ is $\frac{59}{30}$.
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