Basic Math Examples

\frac{400}{15} = \frac{n}{44000}

$\frac{400}{15} = \frac{n}{44000}$

Step 1

Rewrite the equation as

\frac{n}{44000} = \frac{400}{15}

$\frac{n}{44000} = \frac{400}{15}$ .

\frac{n}{44000} = \frac{400}{15}

$\frac{n}{44000} = \frac{400}{15}$

Step 2

Multiply both sides of the equation by

44000

$44000$ .

44000 \frac{n}{44000} = 44000 (\frac{400}{15})

$44000 \frac{n}{44000} = 44000 (\frac{400}{15})$

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

44000

$44000$ .

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Step 3.1.1.1

Cancel the common factor.

$44000 \frac{n}{44000} = 44000 (\frac{400}{15})$

Step 3.1.1.2

Rewrite the expression.

$n = 44000 (\frac{400}{15})$

$n = 44000 (\frac{400}{15})$

$n = 44000 (\frac{400}{15})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify

$44000 (\frac{400}{15})$ .

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Step 3.2.1.1

Cancel the common factor of

$5$ .

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Step 3.2.1.1.1

Factor

$5$ out of

$44000$ .

$n = 5 (8800) \frac{400}{15}$

Step 3.2.1.1.2

Factor

$5$ out of

$15$ .

$n = 5 \cdot 8800 \frac{400}{5 \cdot 3}$

Step 3.2.1.1.3

Cancel the common factor.

$n = 5 \cdot 8800 \frac{400}{5 \cdot 3}$

Step 3.2.1.1.4

Rewrite the expression.

$n = 8800 (\frac{400}{3})$

$n = 8800 (\frac{400}{3})$

Step 3.2.1.2

Combine

$8800$ and

$\frac{400}{3}$ .

$n = \frac{8800 \cdot 400}{3}$

Step 3.2.1.3

Multiply

$8800$ by

$400$ .

$n = \frac{3520000}{3}$

$n = \frac{3520000}{3}$

$n = \frac{3520000}{3}$

$n = \frac{3520000}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = \frac{3520000}{3}$

Decimal Form:

$n = 1173333.\overline{3}$

Mixed Number Form:

$n = 1173333 \frac{1}{3}$

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