Finite Math Examples

$\frac{20 (25)}{120} = \frac{25 x}{125}$

Step 1

Rewrite the equation as $\frac{25 x}{125} = \frac{20 (25)}{120}$ .

$\frac{25 x}{125} = \frac{20 (25)}{120}$

Step 2

Cancel the common factor of $25$ and $125$ .

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Step 2.1

Factor $25$ out of $25 x$ .

$\frac{25 (x)}{125} = \frac{20 (25)}{120}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $25$ out of $125$ .

$\frac{25 x}{25 \cdot 5} = \frac{20 (25)}{120}$

Step 2.2.2

Cancel the common factor.

$\frac{25 x}{25 \cdot 5} = \frac{20 (25)}{120}$

Step 2.2.3

Rewrite the expression.

$\frac{x}{5} = \frac{20 (25)}{120}$

$\frac{x}{5} = \frac{20 (25)}{120}$

$\frac{x}{5} = \frac{20 (25)}{120}$

Step 3

Multiply both sides by $5$ .

$\frac{x}{5} \cdot 5 = \frac{20 (25)}{120} \cdot 5$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $5$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{x}{5} \cdot 5 = \frac{20 (25)}{120} \cdot 5$

Step 4.1.1.2

Rewrite the expression.

$x = \frac{20 (25)}{120} \cdot 5$

$x = \frac{20 (25)}{120} \cdot 5$

$x = \frac{20 (25)}{120} \cdot 5$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{20 (25)}{120} \cdot 5$ .

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Step 4.2.1.1

Multiply $20$ by $25$ .

$x = \frac{500}{120} \cdot 5$

Step 4.2.1.2

Cancel the common factor of $5$ .

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Step 4.2.1.2.1

Factor $5$ out of $120$ .

$x = \frac{500}{5 (24)} \cdot 5$

Step 4.2.1.2.2

Cancel the common factor.

$x = \frac{500}{5 \cdot 24} \cdot 5$

Step 4.2.1.2.3

Rewrite the expression.

$x = \frac{500}{24}$

$x = \frac{500}{24}$

Step 4.2.1.3

Cancel the common factor of $500$ and $24$ .

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Step 4.2.1.3.1

Factor $4$ out of $500$ .

$x = \frac{4 (125)}{24}$

Step 4.2.1.3.2

Cancel the common factors.

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Step 4.2.1.3.2.1

Factor $4$ out of $24$ .

$x = \frac{4 \cdot 125}{4 \cdot 6}$

Step 4.2.1.3.2.2

Cancel the common factor.

$x = \frac{4 \cdot 125}{4 \cdot 6}$

Step 4.2.1.3.2.3

Rewrite the expression.

$x = \frac{125}{6}$

$x = \frac{125}{6}$

$x = \frac{125}{6}$

$x = \frac{125}{6}$

$x = \frac{125}{6}$

$x = \frac{125}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{125}{6}$

Decimal Form:

$x = 20.8\overline{3}$

Mixed Number Form:

$x = 20 \frac{5}{6}$

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