Basic Math Examples

$\frac{n}{36} = \frac{5}{16}$

Step 1

Multiply both sides of the equation by $36$ .

$36 \frac{n}{36} = 36 (\frac{5}{16})$

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 $36$ .

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Step 2.1.1.1

Cancel the common factor.

$36 \frac{n}{36} = 36 (\frac{5}{16})$

Step 2.1.1.2

Rewrite the expression.

$n = 36 (\frac{5}{16})$

$n = 36 (\frac{5}{16})$

$n = 36 (\frac{5}{16})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $36 (\frac{5}{16})$ .

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Step 2.2.1.1

Cancel the common factor of $4$ .

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Step 2.2.1.1.1

Factor $4$ out of $36$ .

$n = 4 (9) \frac{5}{16}$

Step 2.2.1.1.2

Factor $4$ out of $16$ .

$n = 4 \cdot 9 \frac{5}{4 \cdot 4}$

Step 2.2.1.1.3

Cancel the common factor.

$n = 4 \cdot 9 \frac{5}{4 \cdot 4}$

Step 2.2.1.1.4

Rewrite the expression.

$n = 9 (\frac{5}{4})$

$n = 9 (\frac{5}{4})$

Step 2.2.1.2

Combine $9$ and $\frac{5}{4}$ .

$n = \frac{9 \cdot 5}{4}$

Step 2.2.1.3

Multiply $9$ by $5$ .

$n = \frac{45}{4}$

$n = \frac{45}{4}$

$n = \frac{45}{4}$

$n = \frac{45}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \frac{45}{4}$

Decimal Form:

$n = 11.25$

Mixed Number Form:

$n = 11 \frac{1}{4}$

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