Finite Math Examples

$60 = 760 (r) (\frac{28}{365})$

Step 1

Rewrite the equation as $760 r (\frac{28}{365}) = 60$ .

$760 r (\frac{28}{365}) = 60$

Step 2

Simplify $760 r (\frac{28}{365})$ .

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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 $760 r$ .

$5 (152 r) \frac{28}{365} = 60$

Step 2.1.2

Factor $5$ out of $365$ .

$5 (152 r) \frac{28}{5 (73)} = 60$

Step 2.1.3

Cancel the common factor.

$5 (152 r) \frac{28}{5 \cdot 73} = 60$

Step 2.1.4

Rewrite the expression.

$152 r \frac{28}{73} = 60$

Step 2.2

Combine $152$ and $\frac{28}{73}$ .

$r \frac{152 \cdot 28}{73} = 60$

Step 2.3

Multiply $152$ by $28$ .

$r \frac{4256}{73} = 60$

Step 2.4

Combine $r$ and $\frac{4256}{73}$ .

$\frac{r \cdot 4256}{73} = 60$

Step 2.5

Move $4256$ to the left of $r$ .

$\frac{4256 r}{73} = 60$

Step 3

Multiply both sides of the equation by $\frac{73}{4256}$ .

$\frac{73}{4256} \cdot \frac{4256 r}{73} = \frac{73}{4256} \cdot 60$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{73}{4256} \cdot \frac{4256 r}{73}$ .

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Step 4.1.1.1

Cancel the common factor of $73$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{73}{4256} \cdot \frac{4256 r}{73} = \frac{73}{4256} \cdot 60$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{4256} (4256 r) = \frac{73}{4256} \cdot 60$

Step 4.1.1.2

Cancel the common factor of $4256$ .

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Step 4.1.1.2.1

Factor $4256$ out of $4256 r$ .

$\frac{1}{4256} (4256 (r)) = \frac{73}{4256} \cdot 60$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{4256} (4256 r) = \frac{73}{4256} \cdot 60$

Step 4.1.1.2.3

Rewrite the expression.

$r = \frac{73}{4256} \cdot 60$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{73}{4256} \cdot 60$ .

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Step 4.2.1.1

Cancel the common factor of $4$ .

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Step 4.2.1.1.1

Factor $4$ out of $4256$ .

$r = \frac{73}{4 (1064)} \cdot 60$

Step 4.2.1.1.2

Factor $4$ out of $60$ .

$r = \frac{73}{4 \cdot 1064} \cdot (4 \cdot 15)$

Step 4.2.1.1.3

Cancel the common factor.

$r = \frac{73}{4 \cdot 1064} \cdot (4 \cdot 15)$

Step 4.2.1.1.4

Rewrite the expression.

$r = \frac{73}{1064} \cdot 15$

Step 4.2.1.2

Combine $\frac{73}{1064}$ and $15$ .

$r = \frac{73 \cdot 15}{1064}$

Step 4.2.1.3

Multiply $73$ by $15$ .

$r = \frac{1095}{1064}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$r = \frac{1095}{1064}$

Decimal Form:

$r = 1.02913533 \dots$

Mixed Number Form:

$r = 1 \frac{31}{1064}$