Divide (p/(2p+1))÷(p/(3p+1))

$\frac{p}{2 p + 1} \div \frac{p}{3 p + 1}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{p}{2 p + 1} \cdot \frac{3 p + 1}{p}$

Step 2

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p}{2 p + 1} \cdot \frac{3 p + 1}{p}$

Rewrite the expression.

$\frac{1}{2 p + 1} (3 p + 1)$

Step 3

Multiply $\frac{1}{2 p + 1}$ by $3 p + 1$ .

$\frac{3 p + 1}{2 p + 1}$