Finite Math Examples

$x = \frac{5}{9} \cdot (101 - 32)$

Step 1

Subtract $32$ from $101$ .

$x = \frac{5}{9} \cdot 69$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $9$ .

$x = \frac{5}{3 (3)} \cdot 69$

Step 2.2

Factor $3$ out of $69$ .

$x = \frac{5}{3 \cdot 3} \cdot (3 \cdot 23)$

Step 2.3

Cancel the common factor.

$x = \frac{5}{3 \cdot 3} \cdot (3 \cdot 23)$

Step 2.4

Rewrite the expression.

$x = \frac{5}{3} \cdot 23$

$x = \frac{5}{3} \cdot 23$

Step 3

Combine $\frac{5}{3}$ and $23$ .

$x = \frac{5 \cdot 23}{3}$

Step 4

Multiply $5$ by $23$ .

$x = \frac{115}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{115}{3}$

Decimal Form:

$x = 38.\overline{3}$

Mixed Number Form:

$x = 38 \frac{1}{3}$

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