Simplify (16x+8)/(-24x-12)

$\frac{16 x + 8}{- 24 x - 12}$

Step 1

Simplify terms.

Cancel the common factor of $16 x + 8$ and $- 24 x - 12$ .

Factor $4$ out of $16 x$ .

$\frac{4 (4 x) + 8}{- 24 x - 12}$

Factor $4$ out of $8$ .

$\frac{4 (4 x) + 4 (2)}{- 24 x - 12}$

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

$\frac{4 (4 x + 2)}{- 24 x - 12}$

Cancel the common factors.

Factor $4$ out of $- 24 x$ .

$\frac{4 (4 x + 2)}{4 (- 6 x) - 12}$

Factor $4$ out of $- 12$ .

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

Factor $4$ out of $4 (- 6 x) + 4 (- 3)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Factor $2$ out of $4 x + 2$ .

Factor $2$ out of $4 x$ .

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

Factor $2$ out of $2$ .

$\frac{2 (2 x) + 2 (1)}{- 6 x - 3}$

Factor $2$ out of $2 (2 x) + 2 (1)$ .

$\frac{2 (2 x + 1)}{- 6 x - 3}$

$\frac{2 (2 x + 1)}{- 6 x - 3}$

Factor $3$ out of $- 6 x - 3$ .

Factor $3$ out of $- 6 x$ .

$\frac{2 (2 x + 1)}{3 (- 2 x) - 3}$

Factor $3$ out of $- 3$ .

$\frac{2 (2 x + 1)}{3 (- 2 x) + 3 (- 1)}$

Factor $3$ out of $3 (- 2 x) + 3 (- 1)$ .

$\frac{2 (2 x + 1)}{3 (- 2 x - 1)}$

$\frac{2 (2 x + 1)}{3 (- 2 x - 1)}$

Cancel the common factor of $2 x + 1$ and $- 2 x - 1$ .

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

$\frac{2 (- (- 2 x) + 1)}{3 (- 2 x - 1)}$

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

$\frac{2 (- (- 2 x) - 1 (- 1))}{3 (- 2 x - 1)}$

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

$\frac{2 (- (- 2 x - 1))}{3 (- 2 x - 1)}$

Rewrite $- (- 2 x - 1)$ as $- 1 (- 2 x - 1)$ .

$\frac{2 (- 1 (- 2 x - 1))}{3 (- 2 x - 1)}$

Cancel the common factor.

$\frac{2 (- 1 (- 2 x - 1))}{3 (- 2 x - 1)}$

Rewrite the expression.

$\frac{2 \cdot (- 1)}{3}$

$\frac{2 \cdot (- 1)}{3}$

$\frac{2 \cdot (- 1)}{3}$

Step 2

Multiply $2$ by $- 1$ .

$\frac{- 2}{3}$

Step 3

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$

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