Finite Math Examples

$78 = (\frac{108551}{180}) r$

Step 1

Rewrite the equation as $\frac{108551}{180} r = 78$ .

$\frac{108551}{180} r = 78$

Step 2

Multiply both sides of the equation by $\frac{180}{108551}$ .

$\frac{180}{108551} (\frac{108551}{180} r) = \frac{180}{108551} \cdot 78$

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

Simplify $\frac{180}{108551} (\frac{108551}{180} r)$ .

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Step 3.1.1.1

Combine $\frac{108551}{180}$ and $r$ .

$\frac{180}{108551} \cdot \frac{108551 r}{180} = \frac{180}{108551} \cdot 78$

Step 3.1.1.2

Cancel the common factor of $180$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{180}{108551} \cdot \frac{108551 r}{180} = \frac{180}{108551} \cdot 78$

Step 3.1.1.2.2

Rewrite the expression.

$\frac{1}{108551} (108551 r) = \frac{180}{108551} \cdot 78$

Step 3.1.1.3

Cancel the common factor of $108551$ .

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Step 3.1.1.3.1

Factor $108551$ out of $108551 r$ .

$\frac{1}{108551} (108551 (r)) = \frac{180}{108551} \cdot 78$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{1}{108551} (108551 r) = \frac{180}{108551} \cdot 78$

Step 3.1.1.3.3

Rewrite the expression.

$r = \frac{180}{108551} \cdot 78$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $\frac{180}{108551} \cdot 78$ .

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Step 3.2.1.1

Combine $\frac{180}{108551}$ and $78$ .

$r = \frac{180 \cdot 78}{108551}$

Step 3.2.1.2

Multiply $180$ by $78$ .

$r = \frac{14040}{108551}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{14040}{108551}$

Decimal Form:

$r = 0.12934012 \dots$