Finite Math Examples

$25 (\frac{1}{3}) \cdot (6 (1 - \frac{1}{3})) \cdot 4$

Step 1

Combine $25$ and $\frac{1}{3}$ .

$\frac{25}{3} \cdot (6 (1 - \frac{1}{3})) \cdot 4$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6 (1 - \frac{1}{3})$ .

$\frac{25}{3} \cdot (3 (2 (1 - \frac{1}{3}))) \cdot 4$

Step 2.2

Cancel the common factor.

$\frac{25}{3} \cdot (3 (2 (1 - \frac{1}{3}))) \cdot 4$

Step 2.3

Rewrite the expression.

$25 \cdot (2 (1 - \frac{1}{3})) \cdot 4$

Step 3

Simplify the expression.

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Step 3.1

Multiply $2$ by $25$ .

$50 \cdot (1 - \frac{1}{3}) \cdot 4$

Step 3.2

Write $1$ as a fraction with a common denominator.

$50 \cdot (\frac{3}{3} - \frac{1}{3}) \cdot 4$

Step 3.3

Combine the numerators over the common denominator.

$50 \cdot \frac{3 - 1}{3} \cdot 4$

Step 3.4

Subtract $1$ from $3$ .

$50 \cdot \frac{2}{3} \cdot 4$

Step 4

Multiply $50 (\frac{2}{3})$ .

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Step 4.1

Combine $50$ and $\frac{2}{3}$ .

$\frac{50 \cdot 2}{3} \cdot 4$

Step 4.2

Multiply $50$ by $2$ .

$\frac{100}{3} \cdot 4$

Step 5

Multiply $\frac{100}{3} \cdot 4$ .

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Step 5.1

Combine $\frac{100}{3}$ and $4$ .

$\frac{100 \cdot 4}{3}$

Step 5.2

Multiply $100$ by $4$ .

$\frac{400}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{400}{3}$

Decimal Form:

$133.\overline{3}$

Mixed Number Form:

$133 \frac{1}{3}$