Basic Math Examples

$\frac{\frac{2}{15}}{12} = \frac{m}{20}$

Step 1

Rewrite the equation as $\frac{m}{20} = \frac{\frac{2}{15}}{12}$ .

$\frac{m}{20} = \frac{\frac{2}{15}}{12}$

Step 2

Multiply both sides of the equation by $20$ .

$20 \frac{m}{20} = 20 \frac{\frac{2}{15}}{12}$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $20$ .

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Step 3.1.1.1

Cancel the common factor.

$20 \frac{m}{20} = 20 \frac{\frac{2}{15}}{12}$

Step 3.1.1.2

Rewrite the expression.

$m = 20 \frac{\frac{2}{15}}{12}$

$m = 20 \frac{\frac{2}{15}}{12}$

$m = 20 \frac{\frac{2}{15}}{12}$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $20 \frac{\frac{2}{15}}{12}$ .

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Step 3.2.1.1

Cancel the common factor of $4$ .

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Step 3.2.1.1.1

Factor $4$ out of $20$ .

$m = 4 (5) \frac{\frac{2}{15}}{12}$

Step 3.2.1.1.2

Factor $4$ out of $12$ .

$m = 4 \cdot 5 \frac{\frac{2}{15}}{4 \cdot 3}$

Step 3.2.1.1.3

Cancel the common factor.

$m = 4 \cdot 5 \frac{\frac{2}{15}}{4 \cdot 3}$

Step 3.2.1.1.4

Rewrite the expression.

$m = 5 \frac{\frac{2}{15}}{3}$

$m = 5 \frac{\frac{2}{15}}{3}$

Step 3.2.1.2

Combine $5$ and $\frac{\frac{2}{15}}{3}$ .

$m = \frac{5 (\frac{2}{15})}{3}$

Step 3.2.1.3

Combine $5$ and $\frac{2}{15}$ .

$m = \frac{\frac{5 \cdot 2}{15}}{3}$

Step 3.2.1.4

Multiply $5$ by $2$ .

$m = \frac{\frac{10}{15}}{3}$

Step 3.2.1.5

Cancel the common factor of $10$ and $15$ .

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Step 3.2.1.5.1

Factor $5$ out of $10$ .

$m = \frac{\frac{5 (2)}{15}}{3}$

Step 3.2.1.5.2

Cancel the common factors.

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Step 3.2.1.5.2.1

Factor $5$ out of $15$ .

$m = \frac{\frac{5 \cdot 2}{5 \cdot 3}}{3}$

Step 3.2.1.5.2.2

Cancel the common factor.

$m = \frac{\frac{5 \cdot 2}{5 \cdot 3}}{3}$

Step 3.2.1.5.2.3

Rewrite the expression.

$m = \frac{\frac{2}{3}}{3}$

$m = \frac{\frac{2}{3}}{3}$

$m = \frac{\frac{2}{3}}{3}$

Step 3.2.1.6

Multiply the numerator by the reciprocal of the denominator.

$m = \frac{2}{3} \cdot \frac{1}{3}$

Step 3.2.1.7

Multiply $\frac{2}{3} \cdot \frac{1}{3}$ .

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Step 3.2.1.7.1

Multiply $\frac{2}{3}$ by $\frac{1}{3}$ .

$m = \frac{2}{3 \cdot 3}$

Step 3.2.1.7.2

Multiply $3$ by $3$ .

$m = \frac{2}{9}$

$m = \frac{2}{9}$

$m = \frac{2}{9}$

$m = \frac{2}{9}$

$m = \frac{2}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$m = \frac{2}{9}$

Decimal Form:

$m = 0.\overline{2}$

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