Finite Math Examples

$2631.53 = (2267) (\frac{67}{90}) r$

Step 1

Rewrite the equation as $2267 (\frac{67}{90}) \cdot r = 2631.53$ .

$2267 (\frac{67}{90}) \cdot r = 2631.53$

Step 2

Multiply $2267 (\frac{67}{90})$ .

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Step 2.1

Combine $2267$ and $\frac{67}{90}$ .

$\frac{2267 \cdot 67}{90} \cdot r = 2631.53$

Step 2.2

Multiply $2267$ by $67$ .

$\frac{151889}{90} \cdot r = 2631.53$

Step 3

Multiply each term in $\frac{151889}{90} r = 2631.53$ by $\frac{90}{151889}$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{151889}{90} r = 2631.53$ by $\frac{90}{151889}$ .

$\frac{151889}{90} r \frac{90}{151889} = 2631.53 (\frac{90}{151889})$

Step 3.2

Simplify the left side.

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Step 3.2.1

Combine $\frac{151889}{90}$ and $r$ .

$\frac{151889 r}{90} \cdot \frac{90}{151889} = 2631.53 (\frac{90}{151889})$

Step 3.2.2

Cancel the common factor of $151889$ .

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Step 3.2.2.1

Factor $151889$ out of $151889 r$ .

$\frac{151889 (r)}{90} \cdot \frac{90}{151889} = 2631.53 (\frac{90}{151889})$

Step 3.2.2.2

Cancel the common factor.

$\frac{151889 r}{90} \cdot \frac{90}{151889} = 2631.53 (\frac{90}{151889})$

Step 3.2.2.3

Rewrite the expression.

$\frac{r}{90} \cdot 90 = 2631.53 (\frac{90}{151889})$

Step 3.2.3

Cancel the common factor of $90$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{r}{90} \cdot 90 = 2631.53 (\frac{90}{151889})$

Step 3.2.3.2

Rewrite the expression.

$r = 2631.53 (\frac{90}{151889})$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply $2631.53 (\frac{90}{151889})$ .

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Step 3.3.1.1

Combine $2631.53$ and $\frac{90}{151889}$ .

$r = \frac{2631.53 \cdot 90}{151889}$

Step 3.3.1.2

Multiply $2631.53$ by $90$ .

$r = \frac{236837.7}{151889}$

Step 3.3.2

Divide $236837.7$ by $151889$ .

$r = 1.55928144$