Basic Math Examples

$\frac{2 t - 1}{4 - 8 t}$

Step 1

Factor $4$ out of $4 - 8 t$ .

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Step 1.1

Factor $4$ out of $4$ .

$\frac{2 t - 1}{4 (1) - 8 t}$

Step 1.2

Factor $4$ out of $- 8 t$ .

$\frac{2 t - 1}{4 (1) + 4 (- 2 t)}$

Step 1.3

Factor $4$ out of $4 (1) + 4 (- 2 t)$ .

$\frac{2 t - 1}{4 (1 - 2 t)}$

$\frac{2 t - 1}{4 (1 - 2 t)}$

Step 2

Cancel the common factor of $2 t - 1$ and $1 - 2 t$ .

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Step 2.1

Factor $- 1$ out of $2 t$ .

$\frac{- (- 2 t) - 1}{4 (1 - 2 t)}$

Step 2.2

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- (- 2 t) - 1 (1)}{4 (1 - 2 t)}$

Step 2.3

Factor $- 1$ out of $- (- 2 t) - 1 (1)$ .

$\frac{- (- 2 t + 1)}{4 (1 - 2 t)}$

Step 2.4

Rewrite $- (- 2 t + 1)$ as $- 1 (- 2 t + 1)$ .

$\frac{- 1 (- 2 t + 1)}{4 (1 - 2 t)}$

Step 2.5

Reorder terms.

$\frac{- 1 (- 2 t + 1)}{4 (- 2 t + 1)}$

Step 2.6

Cancel the common factor.

$\frac{- 1 (- 2 t + 1)}{4 (- 2 t + 1)}$

Step 2.7

Rewrite the expression.

$\frac{- 1}{4}$

$\frac{- 1}{4}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$

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