Algebra Examples

$\frac{r + 6}{3 r - 6} + \frac{r + 1}{3 r - 6}$

Step 1

Combine the numerators over the common denominator.

$\frac{r + 6 + r + 1}{3 r - 6}$

Step 2

Add $r$ and $r$ .

$\frac{2 r + 6 + 1}{3 r - 6}$

Step 3

Add $6$ and $1$ .

$\frac{2 r + 7}{3 r - 6}$

Step 4

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

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Step 4.1

Factor $3$ out of $3 r$ .

$\frac{2 r + 7}{3 (r) - 6}$

Step 4.2

Factor $3$ out of $- 6$ .

$\frac{2 r + 7}{3 r + 3 \cdot - 2}$

Step 4.3

Factor $3$ out of $3 r + 3 \cdot - 2$ .

$\frac{2 r + 7}{3 (r - 2)}$