Finite Math Examples

$32 = (853) (\frac{167}{360}) r$

Step 1

Rewrite the equation as $853 (\frac{167}{360}) \cdot r = 32$ .

$853 (\frac{167}{360}) \cdot r = 32$

Step 2

Multiply $853 (\frac{167}{360})$ .

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Step 2.1

Combine $853$ and $\frac{167}{360}$ .

$\frac{853 \cdot 167}{360} \cdot r = 32$

Step 2.2

Multiply $853$ by $167$ .

$\frac{142451}{360} \cdot r = 32$

Step 3

Multiply each term in $\frac{142451}{360} r = 32$ by $\frac{360}{142451}$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{142451}{360} r = 32$ by $\frac{360}{142451}$ .

$\frac{142451}{360} r \frac{360}{142451} = 32 (\frac{360}{142451})$

Step 3.2

Simplify the left side.

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Step 3.2.1

Combine $\frac{142451}{360}$ and $r$ .

$\frac{142451 r}{360} \cdot \frac{360}{142451} = 32 (\frac{360}{142451})$

Step 3.2.2

Cancel the common factor of $142451$ .

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Step 3.2.2.1

Factor $142451$ out of $142451 r$ .

$\frac{142451 (r)}{360} \cdot \frac{360}{142451} = 32 (\frac{360}{142451})$

Step 3.2.2.2

Cancel the common factor.

$\frac{142451 r}{360} \cdot \frac{360}{142451} = 32 (\frac{360}{142451})$

Step 3.2.2.3

Rewrite the expression.

$\frac{r}{360} \cdot 360 = 32 (\frac{360}{142451})$

Step 3.2.3

Cancel the common factor of $360$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{r}{360} \cdot 360 = 32 (\frac{360}{142451})$

Step 3.2.3.2

Rewrite the expression.

$r = 32 (\frac{360}{142451})$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply $32 (\frac{360}{142451})$ .

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Step 3.3.1.1

Combine $32$ and $\frac{360}{142451}$ .

$r = \frac{32 \cdot 360}{142451}$

Step 3.3.1.2

Multiply $32$ by $360$ .

$r = \frac{11520}{142451}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{11520}{142451}$

Decimal Form:

$r = 0.08086991 \dots$