Finite Math Examples

$32 = 1600 (r) (\frac{1}{2})$

Step 1

Rewrite the equation as $1600 r (\frac{1}{2}) = 32$ .

$1600 r (\frac{1}{2}) = 32$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $1600 r$ .

$2 (800 r) \frac{1}{2} = 32$

Step 2.2

Cancel the common factor.

$2 (800 r) \frac{1}{2} = 32$

Step 2.3

Rewrite the expression.

$800 r = 32$

$800 r = 32$

Step 3

Divide each term in $800 r = 32$ by $800$ and simplify.

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Step 3.1

Divide each term in $800 r = 32$ by $800$ .

$\frac{800 r}{800} = \frac{32}{800}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $800$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{800 r}{800} = \frac{32}{800}$

Step 3.2.1.2

Divide $r$ by $1$ .

$r = \frac{32}{800}$

$r = \frac{32}{800}$

$r = \frac{32}{800}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $32$ and $800$ .

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Step 3.3.1.1

Factor $32$ out of $32$ .

$r = \frac{32 (1)}{800}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $32$ out of $800$ .

$r = \frac{32 \cdot 1}{32 \cdot 25}$

Step 3.3.1.2.2

Cancel the common factor.

$r = \frac{32 \cdot 1}{32 \cdot 25}$

Step 3.3.1.2.3

Rewrite the expression.

$r = \frac{1}{25}$

$r = \frac{1}{25}$

$r = \frac{1}{25}$

$r = \frac{1}{25}$

$r = \frac{1}{25}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{1}{25}$

Decimal Form:

$r = 0.04$

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