# How do you add 2\frac { 3} { 5}+ 5\frac { 3} { 10}?

Mar 22, 2017

$7 \frac{9}{10}$

#### Explanation:

Find the LCM (Least Common Multiple) on the denominator. Here, the LCM is $10$. Then you have to divide $10$ by $5$ to change the first fraction.

$\frac{10}{5} = 2$

Next, multiply that by $3$ to get $6$. Now you have the fractions

$2 \frac{6}{10} \text{ }$ and $\text{ } 5 \frac{3}{10}$

Adding that, you add the numerators and copy the denominators. Then add the whole numbers. You get

$\left(2 + 5\right) \frac{\left(6 + 3\right)}{10} = 7 \frac{9}{10}$