Finite Math Examples

$\frac{0.25}{- \frac{3}{4}} \cdot \frac{\frac{6}{9}}{8 - 5 x}$

Step 1

Cancel the common factor of $6$ and $9$ .

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Step 1.1

Factor $3$ out of $6$ .

$\frac{0.25}{- \frac{3}{4}} \cdot \frac{\frac{3 (2)}{9}}{8 - 5 x}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $9$ .

$\frac{0.25}{- \frac{3}{4}} \cdot \frac{\frac{3 \cdot 2}{3 \cdot 3}}{8 - 5 x}$

Step 1.2.2

Cancel the common factor.

$\frac{0.25}{- \frac{3}{4}} \cdot \frac{\frac{3 \cdot 2}{3 \cdot 3}}{8 - 5 x}$

Step 1.2.3

Rewrite the expression.

$\frac{0.25}{- \frac{3}{4}} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$0.25 (- \frac{4}{3}) \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 3

Cancel the common factor of $0.25$ .

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Step 3.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$0.25 (\frac{- 4}{3}) \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 3.2

Factor $0.25$ out of $3$ .

$0.25 \frac{- 4}{0.25 (12)} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 3.3

Cancel the common factor.

$0.25 \frac{- 4}{0.25 \cdot 12} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 3.4

Rewrite the expression.

$\frac{- 4}{12} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 4

Cancel the common factor of $- 4$ and $12$ .

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Step 4.1

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{12} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $12$ .

$\frac{4 \cdot - 1}{4 \cdot 3} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 4.2.2

Cancel the common factor.

$\frac{4 \cdot - 1}{4 \cdot 3} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 4.2.3

Rewrite the expression.

$\frac{- 1}{3} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{3} \cdot \frac{\frac{2}{3}}{8 - 5 x}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$- \frac{1}{3} \cdot (\frac{2}{3} \cdot \frac{1}{8 - 5 x})$

Step 7

Multiply $\frac{2}{3}$ by $\frac{1}{8 - 5 x}$ .

$- \frac{1}{3} \cdot \frac{2}{3 (8 - 5 x)}$

Step 8

Multiply $- \frac{1}{3} \cdot \frac{2}{3 (8 - 5 x)}$ .

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Step 8.1

Multiply $\frac{2}{3 (8 - 5 x)}$ by $\frac{1}{3}$ .

$- \frac{2}{3 (8 - 5 x) \cdot 3}$

Step 8.2

Multiply $3$ by $3$ .

$- \frac{2}{9 (8 - 5 x)}$