Finite Math Examples

$69.38 = (1225) (\frac{59}{180}) r$

Step 1

Rewrite the equation as $1225 (\frac{59}{180}) \cdot r = 69.38$ .

$1225 (\frac{59}{180}) \cdot r = 69.38$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $5$ .

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Step 2.1.1

Factor $5$ out of $1225$ .

$5 (245) \frac{59}{180} \cdot r = 69.38$

Step 2.1.2

Factor $5$ out of $180$ .

$5 \cdot 245 \frac{59}{5 \cdot 36} \cdot r = 69.38$

Step 2.1.3

Cancel the common factor.

$5 \cdot 245 \frac{59}{5 \cdot 36} \cdot r = 69.38$

Step 2.1.4

Rewrite the expression.

$245 (\frac{59}{36}) \cdot r = 69.38$

Step 2.2

Combine $245$ and $\frac{59}{36}$ .

$\frac{245 \cdot 59}{36} \cdot r = 69.38$

Step 2.3

Multiply $245$ by $59$ .

$\frac{14455}{36} \cdot r = 69.38$

Step 3

Multiply each term in $\frac{14455}{36} r = 69.38$ by $\frac{36}{14455}$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{14455}{36} r = 69.38$ by $\frac{36}{14455}$ .

$\frac{14455}{36} r \frac{36}{14455} = 69.38 (\frac{36}{14455})$

Step 3.2

Simplify the left side.

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Step 3.2.1

Combine $\frac{14455}{36}$ and $r$ .

$\frac{14455 r}{36} \cdot \frac{36}{14455} = 69.38 (\frac{36}{14455})$

Step 3.2.2

Cancel the common factor of $14455$ .

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Step 3.2.2.1

Factor $14455$ out of $14455 r$ .

$\frac{14455 (r)}{36} \cdot \frac{36}{14455} = 69.38 (\frac{36}{14455})$

Step 3.2.2.2

Cancel the common factor.

$\frac{14455 r}{36} \cdot \frac{36}{14455} = 69.38 (\frac{36}{14455})$

Step 3.2.2.3

Rewrite the expression.

$\frac{r}{36} \cdot 36 = 69.38 (\frac{36}{14455})$

Step 3.2.3

Cancel the common factor of $36$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{r}{36} \cdot 36 = 69.38 (\frac{36}{14455})$

Step 3.2.3.2

Rewrite the expression.

$r = 69.38 (\frac{36}{14455})$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply $69.38 (\frac{36}{14455})$ .

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Step 3.3.1.1

Combine $69.38$ and $\frac{36}{14455}$ .

$r = \frac{69.38 \cdot 36}{14455}$

Step 3.3.1.2

Multiply $69.38$ by $36$ .

$r = \frac{2497.68}{14455}$

Step 3.3.2

Divide $2497.68$ by $14455$ .

$r = 0.17279003$