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 $\frac{59}{30}$.