Basic Math Examples

$\frac{3 r^{2}}{5} \div 9 r$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{3 r^{2}}{5}}{9 r}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{3 r^{2}}{5} \cdot \frac{1}{9 r}$

Step 3

Simplify terms.

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Step 3.1

Combine.

$\frac{3 r^{2} \cdot 1}{5 (9 r)}$

Step 3.2

Cancel the common factor of $3$ and $9$ .

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Step 3.2.1

Factor $3$ out of $3 r^{2} \cdot 1$ .

$\frac{3 (r^{2} \cdot 1)}{5 (9 r)}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $3$ out of $5 (9 r)$ .

$\frac{3 (r^{2} \cdot 1)}{3 (5 (3 r))}$

Step 3.2.2.2

Cancel the common factor.

$\frac{3 (r^{2} \cdot 1)}{3 (5 (3 r))}$

Step 3.2.2.3

Rewrite the expression.

$\frac{r^{2} \cdot 1}{5 (3 r)}$

$\frac{r^{2} \cdot 1}{5 (3 r)}$

$\frac{r^{2} \cdot 1}{5 (3 r)}$

Step 3.3

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

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Step 3.3.1

Factor $r$ out of $r^{2} \cdot 1$ .

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

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $r$ out of $5 (3 r)$ .

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

Step 3.3.2.2

Cancel the common factor.

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

Step 3.3.2.3

Rewrite the expression.

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

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

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

Step 3.4

Multiply $r$ by $1$ .

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

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

Step 4

Multiply $5$ by $3$ .

$\frac{r}{15}$

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