Simplify (3/10)÷((3n)/5)

$\frac{3}{10} \div \frac{3 n}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{10} \cdot \frac{5}{3 n}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $3 n$ .

$\frac{3}{10} \cdot \frac{5}{3 (n)}$

Cancel the common factor.

$\frac{3}{10} \cdot \frac{5}{3 n}$

Rewrite the expression.

$\frac{1}{10} \cdot \frac{5}{n}$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $10$ .

$\frac{1}{5 (2)} \cdot \frac{5}{n}$

Cancel the common factor.

$\frac{1}{5 \cdot 2} \cdot \frac{5}{n}$

Rewrite the expression.

$\frac{1}{2} \cdot \frac{1}{n}$

Step 4

Multiply $\frac{1}{2}$ by $\frac{1}{n}$ .

$\frac{1}{2 n}$