Algebra Examples

$\frac{2 t}{3 t - 12} - \frac{8}{3 t - 12}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 t - 8}{3 t - 12}$

Step 2

Factor $2$ out of $2 t - 8$ .

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Step 2.1

Factor $2$ out of $2 t$ .

$\frac{2 (t) - 8}{3 t - 12}$

Step 2.2

Factor $2$ out of $- 8$ .

$\frac{2 t + 2 \cdot - 4}{3 t - 12}$

Step 2.3

Factor $2$ out of $2 t + 2 \cdot - 4$ .

$\frac{2 (t - 4)}{3 t - 12}$

$\frac{2 (t - 4)}{3 t - 12}$

Step 3

Factor $3$ out of $3 t - 12$ .

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Step 3.1

Factor $3$ out of $3 t$ .

$\frac{2 (t - 4)}{3 (t) - 12}$

Step 3.2

Factor $3$ out of $- 12$ .

$\frac{2 (t - 4)}{3 t + 3 \cdot - 4}$

Step 3.3

Factor $3$ out of $3 t + 3 \cdot - 4$ .

$\frac{2 (t - 4)}{3 (t - 4)}$

$\frac{2 (t - 4)}{3 (t - 4)}$

Step 4

Cancel the common factor of $t - 4$ .

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Step 4.1

Cancel the common factor.

$\frac{2 (t - 4)}{3 (t - 4)}$

Step 4.2

Rewrite the expression.

$\frac{2}{3}$

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$

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