Finite Math Examples

$\frac{- 4}{\frac{\frac{15 x^{2}}{8}}{25 x^{3}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$- 4 \frac{25 x^{3}}{\frac{15 x^{2}}{8}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- 4 (25 x^{3} \frac{8}{15 x^{2}})$

Step 3

Cancel the common factor of $5 x^{2}$ .

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Step 3.1

Factor $5 x^{2}$ out of $25 x^{3}$ .

$- 4 (5 x^{2} (5 x) \frac{8}{15 x^{2}})$

Step 3.2

Factor $5 x^{2}$ out of $15 x^{2}$ .

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

Step 3.3

Cancel the common factor.

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

Step 3.4

Rewrite the expression.

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

Step 4

Combine $5$ and $\frac{8}{3}$ .

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

Step 5

Multiply $5$ by $8$ .

$- 4 (x \frac{40}{3})$

Step 6

Combine $x$ and $\frac{40}{3}$ .

$- 4 \frac{x \cdot 40}{3}$

Step 7

Move $40$ to the left of $x$ .

$- 4 \frac{40 \cdot x}{3}$

Step 8

Multiply $- 4 \frac{40 x}{3}$ .

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Step 8.1

Combine $- 4$ and $\frac{40 x}{3}$ .

$\frac{- 4 (40 x)}{3}$

Step 8.2

Multiply $40$ by $- 4$ .

$\frac{- 160 x}{3}$

Step 9

Move the negative in front of the fraction.

$- \frac{160 x}{3}$