How do you add two fractions?

I have a fraction I am trying to solve. I know the answer already, as Wolfram says it is $\frac{143}{300}$.

The fraction is:

$\frac{5}{12}+\frac{3}{50}=\text{}?$

Please explain why and how your method works.

I have a fraction I am trying to solve. I know the answer already, as Wolfram says it is $\frac{143}{300}$.

The fraction is:

$\frac{5}{12}+\frac{3}{50}=\text{}?$

Please explain why and how your method works.