Finite Math Examples

$\frac{x}{4963} = \frac{900}{218}$

Step 1

Multiply both sides of the equation by $4963$ .

$4963 \frac{x}{4963} = 4963 (\frac{900}{218})$

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 $4963$ .

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Step 2.1.1.1

Cancel the common factor.

$4963 \frac{x}{4963} = 4963 (\frac{900}{218})$

Step 2.1.1.2

Rewrite the expression.

$x = 4963 (\frac{900}{218})$

$x = 4963 (\frac{900}{218})$

$x = 4963 (\frac{900}{218})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $4963 (\frac{900}{218})$ .

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Step 2.2.1.1

Cancel the common factor of $900$ and $218$ .

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Step 2.2.1.1.1

Factor $2$ out of $900$ .

$x = 4963 \frac{2 (450)}{218}$

Step 2.2.1.1.2

Cancel the common factors.

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Step 2.2.1.1.2.1

Factor $2$ out of $218$ .

$x = 4963 \frac{2 \cdot 450}{2 \cdot 109}$

Step 2.2.1.1.2.2

Cancel the common factor.

$x = 4963 \frac{2 \cdot 450}{2 \cdot 109}$

Step 2.2.1.1.2.3

Rewrite the expression.

$x = 4963 (\frac{450}{109})$

$x = 4963 (\frac{450}{109})$

$x = 4963 (\frac{450}{109})$

Step 2.2.1.2

Multiply $4963 (\frac{450}{109})$ .

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Step 2.2.1.2.1

Combine $4963$ and $\frac{450}{109}$ .

$x = \frac{4963 \cdot 450}{109}$

Step 2.2.1.2.2

Multiply $4963$ by $450$ .

$x = \frac{2233350}{109}$

$x = \frac{2233350}{109}$

$x = \frac{2233350}{109}$

$x = \frac{2233350}{109}$

$x = \frac{2233350}{109}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2233350}{109}$

Decimal Form:

$x = 20489.44954128 \dots$

Mixed Number Form:

$x = 20489 \frac{49}{109}$

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