Algebra Examples

$\frac{4 - 20 x}{- 15 x + 3}$

Step 1

Factor $4$ out of $4 - 20 x$ .

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Step 1.1

Factor $4$ out of $4$ .

$\frac{4 (1) - 20 x}{- 15 x + 3}$

Step 1.2

Factor $4$ out of $- 20 x$ .

$\frac{4 (1) + 4 (- 5 x)}{- 15 x + 3}$

Step 1.3

Factor $4$ out of $4 (1) + 4 (- 5 x)$ .

$\frac{4 (1 - 5 x)}{- 15 x + 3}$

$\frac{4 (1 - 5 x)}{- 15 x + 3}$

Step 2

Factor $3$ out of $- 15 x + 3$ .

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Step 2.1

Factor $3$ out of $- 15 x$ .

$\frac{4 (1 - 5 x)}{3 (- 5 x) + 3}$

Step 2.2

Factor $3$ out of $3$ .

$\frac{4 (1 - 5 x)}{3 (- 5 x) + 3 (1)}$

Step 2.3

Factor $3$ out of $3 (- 5 x) + 3 (1)$ .

$\frac{4 (1 - 5 x)}{3 (- 5 x + 1)}$

$\frac{4 (1 - 5 x)}{3 (- 5 x + 1)}$

Step 3

Cancel the common factor of $1 - 5 x$ and $- 5 x + 1$ .

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Step 3.1

Reorder terms.

$\frac{4 (- 5 x + 1)}{3 (- 5 x + 1)}$

Step 3.2

Cancel the common factor.

$\frac{4 (- 5 x + 1)}{3 (- 5 x + 1)}$

Step 3.3

Rewrite the expression.

$\frac{4}{3}$

$\frac{4}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$

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