Finite Math Examples

$\frac{x}{300} = \frac{500}{45}$

Step 1

Multiply both sides of the equation by $300$ .

$300 \frac{x}{300} = 300 (\frac{500}{45})$

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 $300$ .

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Step 2.1.1.1

Cancel the common factor.

$300 \frac{x}{300} = 300 (\frac{500}{45})$

Step 2.1.1.2

Rewrite the expression.

$x = 300 (\frac{500}{45})$

$x = 300 (\frac{500}{45})$

$x = 300 (\frac{500}{45})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $300 (\frac{500}{45})$ .

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Step 2.2.1.1

Cancel the common factor of $15$ .

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Step 2.2.1.1.1

Factor $15$ out of $300$ .

$x = 15 (20) \frac{500}{45}$

Step 2.2.1.1.2

Factor $15$ out of $45$ .

$x = 15 \cdot 20 \frac{500}{15 \cdot 3}$

Step 2.2.1.1.3

Cancel the common factor.

$x = 15 \cdot 20 \frac{500}{15 \cdot 3}$

Step 2.2.1.1.4

Rewrite the expression.

$x = 20 (\frac{500}{3})$

$x = 20 (\frac{500}{3})$

Step 2.2.1.2

Combine $20$ and $\frac{500}{3}$ .

$x = \frac{20 \cdot 500}{3}$

Step 2.2.1.3

Multiply $20$ by $500$ .

$x = \frac{10000}{3}$

$x = \frac{10000}{3}$

$x = \frac{10000}{3}$

$x = \frac{10000}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{10000}{3}$

Decimal Form:

$x = 3333.\overline{3}$

Mixed Number Form:

$x = 3333 \frac{1}{3}$

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