Basic Math Examples

$\frac{8}{12} = \frac{n}{30}$

Step 1

Rewrite the equation as $\frac{n}{30} = \frac{8}{12}$ .

$\frac{n}{30} = \frac{8}{12}$

Step 2

Multiply both sides of the equation by $30$ .

$30 \frac{n}{30} = 30 (\frac{8}{12})$

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 $30$ .

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Step 3.1.1.1

Cancel the common factor.

$30 \frac{n}{30} = 30 (\frac{8}{12})$

Step 3.1.1.2

Rewrite the expression.

$n = 30 (\frac{8}{12})$

$n = 30 (\frac{8}{12})$

$n = 30 (\frac{8}{12})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $30 (\frac{8}{12})$ .

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Step 3.2.1.1

Cancel the common factor of $6$ .

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Step 3.2.1.1.1

Factor $6$ out of $30$ .

$n = 6 (5) \frac{8}{12}$

Step 3.2.1.1.2

Factor $6$ out of $12$ .

$n = 6 \cdot 5 \frac{8}{6 \cdot 2}$

Step 3.2.1.1.3

Cancel the common factor.

$n = 6 \cdot 5 \frac{8}{6 \cdot 2}$

Step 3.2.1.1.4

Rewrite the expression.

$n = 5 (\frac{8}{2})$

$n = 5 (\frac{8}{2})$

Step 3.2.1.2

Combine $5$ and $\frac{8}{2}$ .

$n = \frac{5 \cdot 8}{2}$

Step 3.2.1.3

Simplify the expression.

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Step 3.2.1.3.1

Multiply $5$ by $8$ .

$n = \frac{40}{2}$

Step 3.2.1.3.2

Divide $40$ by $2$ .

$n = 20$

$n = 20$

$n = 20$

$n = 20$

$n = 20$

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