Finite Math Examples

$89 = 3204 (\frac{20}{360}) r$

Step 1

Rewrite the equation as $3204 (\frac{20}{360}) \cdot r = 89$ .

$3204 (\frac{20}{360}) \cdot r = 89$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $36$ .

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Step 2.1.1

Factor $36$ out of $3204$ .

$36 (89) \frac{20}{360} \cdot r = 89$

Step 2.1.2

Factor $36$ out of $360$ .

$36 \cdot 89 \frac{20}{36 \cdot 10} \cdot r = 89$

Step 2.1.3

Cancel the common factor.

$36 \cdot 89 \frac{20}{36 \cdot 10} \cdot r = 89$

Step 2.1.4

Rewrite the expression.

$89 (\frac{20}{10}) \cdot r = 89$

Step 2.2

Combine $89$ and $\frac{20}{10}$ .

$\frac{89 \cdot 20}{10} \cdot r = 89$

Step 2.3

Multiply $89$ by $20$ .

$\frac{1780}{10} \cdot r = 89$

Step 2.4

Reduce the expression $\frac{1780}{10}$ by cancelling the common factors.

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Step 2.4.1

Factor $10$ out of $1780$ .

$\frac{10 \cdot 178}{10} \cdot r = 89$

Step 2.4.2

Factor $10$ out of $10$ .

$\frac{10 \cdot 178}{10 (1)} \cdot r = 89$

Step 2.4.3

Cancel the common factor.

$\frac{10 \cdot 178}{10 \cdot 1} \cdot r = 89$

Step 2.4.4

Rewrite the expression.

$\frac{178}{1} \cdot r = 89$

Step 2.5

Divide $178$ by $1$ .

$178 \cdot r = 89$

Step 3

Divide each term in $178 \cdot r = 89$ by $178$ and simplify.

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Step 3.1

Divide each term in $178 \cdot r = 89$ by $178$ .

$\frac{178 \cdot r}{178} = \frac{89}{178}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $178$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{178 \cdot r}{178} = \frac{89}{178}$

Step 3.2.1.2

Divide $r$ by $1$ .

$r = \frac{89}{178}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $89$ and $178$ .

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Step 3.3.1.1

Factor $89$ out of $89$ .

$r = \frac{89 (1)}{178}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $89$ out of $178$ .

$r = \frac{89 \cdot 1}{89 \cdot 2}$

Step 3.3.1.2.2

Cancel the common factor.

$r = \frac{89 \cdot 1}{89 \cdot 2}$

Step 3.3.1.2.3

Rewrite the expression.

$r = \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{1}{2}$

Decimal Form:

$r = 0.5$