Simplify (x/5-p/10)/p

$\frac{\frac{x}{5} - \frac{p}{10}}{p}$

Simplify the numerator.

To write $\frac{x}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{x}{5} \cdot \frac{2}{2} - \frac{p}{10}}{p}$

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{x}{5}$ by $\frac{2}{2}$ .

$\frac{\frac{x \cdot 2}{5 \cdot 2} - \frac{p}{10}}{p}$

Multiply $5$ by $2$ .

$\frac{\frac{x \cdot 2}{10} - \frac{p}{10}}{p}$

Combine the numerators over the common denominator.

$\frac{\frac{x \cdot 2 - p}{10}}{p}$

Move $2$ to the left of $x$ .

$\frac{\frac{2 x - p}{10}}{p}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 x - p}{10} \cdot \frac{1}{p}$

Multiply $\frac{2 x - p}{10}$ by $\frac{1}{p}$ .

$\frac{2 x - p}{10 p}$