Finite Math Examples

$48 = \frac{609 r \cdot 240}{365}$

Step 1

Rewrite the equation as $\frac{609 r \cdot 240}{365} = 48$ .

$\frac{609 r \cdot 240}{365} = 48$

Step 2

Cancel the common factor of $240$ and $365$ .

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Step 2.1

Factor $5$ out of $609 r \cdot 240$ .

$\frac{5 (609 r \cdot 48)}{365} = 48$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $365$ .

$\frac{5 (609 r \cdot 48)}{5 (73)} = 48$

Step 2.2.2

Cancel the common factor.

$\frac{5 (609 r \cdot 48)}{5 \cdot 73} = 48$

Step 2.2.3

Rewrite the expression.

$\frac{609 r \cdot 48}{73} = 48$

$\frac{609 r \cdot 48}{73} = 48$

$\frac{609 r \cdot 48}{73} = 48$

Step 3

Multiply both sides by $73$ .

$\frac{609 r \cdot 48}{73} \cdot 73 = 48 \cdot 73$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{609 r \cdot 48}{73} \cdot 73$ .

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Step 4.1.1.1

Multiply $48$ by $609$ .

$\frac{29232 r}{73} \cdot 73 = 48 \cdot 73$

Step 4.1.1.2

Cancel the common factor of $73$ .

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Step 4.1.1.2.1

Cancel the common factor.

$\frac{29232 r}{73} \cdot 73 = 48 \cdot 73$

Step 4.1.1.2.2

Rewrite the expression.

$29232 r = 48 \cdot 73$

$29232 r = 48 \cdot 73$

$29232 r = 48 \cdot 73$

$29232 r = 48 \cdot 73$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $48$ by $73$ .

$29232 r = 3504$

$29232 r = 3504$

$29232 r = 3504$

Step 5

Divide each term in $29232 r = 3504$ by $29232$ and simplify.

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Step 5.1

Divide each term in $29232 r = 3504$ by $29232$ .

$\frac{29232 r}{29232} = \frac{3504}{29232}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $29232$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{29232 r}{29232} = \frac{3504}{29232}$

Step 5.2.1.2

Divide $r$ by $1$ .

$r = \frac{3504}{29232}$

$r = \frac{3504}{29232}$

$r = \frac{3504}{29232}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $3504$ and $29232$ .

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Step 5.3.1.1

Factor $48$ out of $3504$ .

$r = \frac{48 (73)}{29232}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $48$ out of $29232$ .

$r = \frac{48 \cdot 73}{48 \cdot 609}$

Step 5.3.1.2.2

Cancel the common factor.

$r = \frac{48 \cdot 73}{48 \cdot 609}$

Step 5.3.1.2.3

Rewrite the expression.

$r = \frac{73}{609}$

$r = \frac{73}{609}$

$r = \frac{73}{609}$

$r = \frac{73}{609}$

$r = \frac{73}{609}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$r = \frac{73}{609}$

Decimal Form:

$r = 0.11986863 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$