Basic Math Examples

$\frac{m}{3} \div \frac{m^{2}}{33}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{m}{3} \cdot \frac{33}{m^{2}}$

Step 2

Combine.

$\frac{m \cdot 33}{3 m^{2}}$

Step 3

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

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Step 3.1

Factor $m$ out of $m \cdot 33$ .

$\frac{m (33)}{3 m^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $m$ out of $3 m^{2}$ .

$\frac{m (33)}{m (3 m)}$

Step 3.2.2

Cancel the common factor.

$\frac{m \cdot 33}{m (3 m)}$

Step 3.2.3

Rewrite the expression.

$\frac{33}{3 m}$

$\frac{33}{3 m}$

$\frac{33}{3 m}$

Step 4

Cancel the common factor of $33$ and $3$ .

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Step 4.1

Factor $3$ out of $33$ .

$\frac{3 \cdot 11}{3 m}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $3 m$ .

$\frac{3 \cdot 11}{3 (m)}$

Step 4.2.2

Cancel the common factor.

$\frac{3 \cdot 11}{3 m}$

Step 4.2.3

Rewrite the expression.

$\frac{11}{m}$

$\frac{11}{m}$

$\frac{11}{m}$

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