Pre-Algebra Examples

$\frac{(6 x - 8) + 6}{8}$

Step 1

Cancel the common factor of $(6 x - 8) + 6$ and $8$ .

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Step 1.1

Factor $2$ out of $6 x$ .

$\frac{2 (3 x) - 8 + 6}{8}$

Step 1.2

Factor $2$ out of $- 8$ .

$\frac{2 (3 x) + 2 (- 4) + 6}{8}$

Step 1.3

Factor $2$ out of $2 (3 x) + 2 (- 4)$ .

$\frac{2 (3 x - 4) + 6}{8}$

Step 1.4

Factor $2$ out of $6$ .

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

Step 1.5

Factor $2$ out of $2 (3 x - 4) + 2 (3)$ .

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

Step 1.6

Cancel the common factors.

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Step 1.6.1

Factor $2$ out of $8$ .

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

Step 1.6.2

Cancel the common factor.

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

Step 1.6.3

Rewrite the expression.

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

Step 2

Add $- 4$ and $3$ .

$\frac{3 x - 1}{4}$

Step 3

Split the fraction $\frac{3 x - 1}{4}$ into two fractions.

$\frac{3 x}{4} + \frac{- 1}{4}$

Step 4

Move the negative in front of the fraction.

$\frac{3 x}{4} - \frac{1}{4}$