Basic Math Examples

$\frac{7 z - 1}{8 - 56 z}$

Step 1

Factor $8$ out of $8 - 56 z$ .

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Step 1.1

Factor $8$ out of $8$ .

$\frac{7 z - 1}{8 (1) - 56 z}$

Step 1.2

Factor $8$ out of $- 56 z$ .

$\frac{7 z - 1}{8 (1) + 8 (- 7 z)}$

Step 1.3

Factor $8$ out of $8 (1) + 8 (- 7 z)$ .

$\frac{7 z - 1}{8 (1 - 7 z)}$

$\frac{7 z - 1}{8 (1 - 7 z)}$

Step 2

Cancel the common factor of $7 z - 1$ and $1 - 7 z$ .

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Step 2.1

Factor $- 1$ out of $7 z$ .

$\frac{- (- 7 z) - 1}{8 (1 - 7 z)}$

Step 2.2

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

$\frac{- (- 7 z) - 1 (1)}{8 (1 - 7 z)}$

Step 2.3

Factor $- 1$ out of $- (- 7 z) - 1 (1)$ .

$\frac{- (- 7 z + 1)}{8 (1 - 7 z)}$

Step 2.4

Rewrite $- (- 7 z + 1)$ as $- 1 (- 7 z + 1)$ .

$\frac{- 1 (- 7 z + 1)}{8 (1 - 7 z)}$

Step 2.5

Reorder terms.

$\frac{- 1 (- 7 z + 1)}{8 (- 7 z + 1)}$

Step 2.6

Cancel the common factor.

$\frac{- 1 (- 7 z + 1)}{8 (- 7 z + 1)}$

Step 2.7

Rewrite the expression.

$\frac{- 1}{8}$

$\frac{- 1}{8}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{8}$

Decimal Form:

$- 0.125$

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