Basic Math Examples

$\frac{28}{30} = \frac{n}{68}$

Step 1

Rewrite the equation as $\frac{n}{68} = \frac{28}{30}$ .

$\frac{n}{68} = \frac{28}{30}$

Step 2

Multiply both sides of the equation by $68$ .

$68 \frac{n}{68} = 68 (\frac{28}{30})$

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 $68$ .

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Step 3.1.1.1

Cancel the common factor.

$68 \frac{n}{68} = 68 (\frac{28}{30})$

Step 3.1.1.2

Rewrite the expression.

$n = 68 (\frac{28}{30})$

$n = 68 (\frac{28}{30})$

$n = 68 (\frac{28}{30})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $68 (\frac{28}{30})$ .

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Step 3.2.1.1

Cancel the common factor of $2$ .

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Step 3.2.1.1.1

Factor $2$ out of $68$ .

$n = 2 (34) \frac{28}{30}$

Step 3.2.1.1.2

Factor $2$ out of $30$ .

$n = 2 \cdot 34 \frac{28}{2 \cdot 15}$

Step 3.2.1.1.3

Cancel the common factor.

$n = 2 \cdot 34 \frac{28}{2 \cdot 15}$

Step 3.2.1.1.4

Rewrite the expression.

$n = 34 (\frac{28}{15})$

$n = 34 (\frac{28}{15})$

Step 3.2.1.2

Combine $34$ and $\frac{28}{15}$ .

$n = \frac{34 \cdot 28}{15}$

Step 3.2.1.3

Multiply $34$ by $28$ .

$n = \frac{952}{15}$

$n = \frac{952}{15}$

$n = \frac{952}{15}$

$n = \frac{952}{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = \frac{952}{15}$

Decimal Form:

$n = 63.4\overline{6}$

Mixed Number Form:

$n = 63 \frac{7}{15}$

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