Basic Math Examples

$\frac{r^{2} s^{3}}{5} \div \frac{4 r s}{15}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{r^{2} s^{3}}{5} \cdot \frac{15}{4 r s}$

Step 2

Combine.

$\frac{r^{2} s^{3} \cdot 15}{5 (4 r s)}$

Step 3

Cancel the common factor of $r^{2}$ and $r$ .

Tap for more steps...

Step 3.1

Factor $r$ out of $r^{2} s^{3} \cdot 15$ .

$\frac{r (r s^{3} \cdot 15)}{5 (4 r s)}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $r$ out of $5 (4 r s)$ .

$\frac{r (r s^{3} \cdot 15)}{r (5 (4 s))}$

Step 3.2.2

Cancel the common factor.

$\frac{r (r s^{3} \cdot 15)}{r (5 (4 s))}$

Step 3.2.3

Rewrite the expression.

$\frac{r s^{3} \cdot 15}{5 (4 s)}$

$\frac{r s^{3} \cdot 15}{5 (4 s)}$

$\frac{r s^{3} \cdot 15}{5 (4 s)}$

Step 4

Cancel the common factor of $s^{3}$ and $s$ .

Tap for more steps...

Step 4.1

Factor $s$ out of $r s^{3} \cdot 15$ .

$\frac{s (r s^{2} \cdot 15)}{5 (4 s)}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $s$ out of $5 (4 s)$ .

$\frac{s (r s^{2} \cdot 15)}{s (5 \cdot (4))}$

Step 4.2.2

Cancel the common factor.

$\frac{s (r s^{2} \cdot 15)}{s (5 \cdot (4))}$

Step 4.2.3

Rewrite the expression.

$\frac{r s^{2} \cdot 15}{5 \cdot (4)}$

$\frac{r s^{2} \cdot 15}{5 \cdot (4)}$

$\frac{r s^{2} \cdot 15}{5 \cdot (4)}$

Step 5

Cancel the common factor of $15$ and $5$ .

Tap for more steps...

Step 5.1

Factor $5$ out of $r s^{2} \cdot 15$ .

$\frac{5 (r s^{2} \cdot 3)}{5 \cdot (4)}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor $5$ out of $5 \cdot (4)$ .

$\frac{5 (r s^{2} \cdot 3)}{5 (4)}$

Step 5.2.2

Cancel the common factor.

$\frac{5 (r s^{2} \cdot 3)}{5 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{r s^{2} \cdot 3}{4}$

$\frac{r s^{2} \cdot 3}{4}$

$\frac{r s^{2} \cdot 3}{4}$

Step 6

Move $3$ to the left of $r s^{2}$ .

$\frac{3 r s^{2}}{4}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$