Simplify (3/(5r))÷(9/(rs))

$\frac{3}{5 r} \div \frac{9}{r s}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{5 r} \cdot \frac{r s}{9}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{3}{5 r} \cdot \frac{r s}{3 (3)}$

Cancel the common factor.

$\frac{3}{5 r} \cdot \frac{r s}{3 \cdot 3}$

Rewrite the expression.

$\frac{1}{5 r} \cdot \frac{r s}{3}$

$\frac{1}{5 r} \cdot \frac{r s}{3}$

Step 3

Cancel the common factor of $r$ .

Factor $r$ out of $5 r$ .

$\frac{1}{r \cdot 5} \cdot \frac{r s}{3}$

Factor $r$ out of $r s$ .

$\frac{1}{r \cdot 5} \cdot \frac{r (s)}{3}$

Cancel the common factor.

$\frac{1}{r \cdot 5} \cdot \frac{r s}{3}$

Rewrite the expression.

$\frac{1}{5} \cdot \frac{s}{3}$

$\frac{1}{5} \cdot \frac{s}{3}$

Step 4

Multiply $\frac{1}{5}$ by $\frac{s}{3}$ .

$\frac{s}{5 \cdot 3}$

Step 5

Multiply $5$ by $3$ .

$\frac{s}{15}$

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