Basic Math Examples

\frac{m}{13} = \frac{7}{15}

$\frac{m}{13} = \frac{7}{15}$

Step 1

Multiply both sides of the equation by

13

$13$ .

13 \frac{m}{13} = 13 (\frac{7}{15})

$13 \frac{m}{13} = 13 (\frac{7}{15})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of

13

$13$ .

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Step 2.1.1.1

Cancel the common factor.

$13 \frac{m}{13} = 13 (\frac{7}{15})$

Step 2.1.1.2

Rewrite the expression.

$m = 13 (\frac{7}{15})$

$m = 13 (\frac{7}{15})$

$m = 13 (\frac{7}{15})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply

$13 (\frac{7}{15})$ .

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Step 2.2.1.1

Combine

$13$ and

$\frac{7}{15}$ .

$m = \frac{13 \cdot 7}{15}$

Step 2.2.1.2

Multiply

$13$ by

$7$ .

$m = \frac{91}{15}$

$m = \frac{91}{15}$

$m = \frac{91}{15}$

$m = \frac{91}{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = \frac{91}{15}$

Decimal Form:

$m = 6.0\overline{6}$

Mixed Number Form:

$m = 6 \frac{1}{15}$

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