Use Two Different Methods to Simplify the Fraction $$\frac{\frac{15}{p}-\frac{25}{m}}{\frac{30}{p}+\frac{10}{m}}$$

Essay

Use two different methods to simplify the fraction. Explain each step of your work.
$$\frac{\frac{15}{p}-\frac{25}{m}}{\frac{30}{p}+\frac{10}{m}}$$