Pre-Algebra Examples

$\frac{5 c}{2 c + 7} + \frac{c - 28}{2 c + 7}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 c + c - 28}{2 c + 7}$

Step 2

Add $5 c$ and $c$ .

$\frac{6 c - 28}{2 c + 7}$

Step 3

Factor $2$ out of $6 c - 28$ .

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Step 3.1

Factor $2$ out of $6 c$ .

$\frac{2 (3 c) - 28}{2 c + 7}$

Step 3.2

Factor $2$ out of $- 28$ .

$\frac{2 (3 c) + 2 (- 14)}{2 c + 7}$

Step 3.3

Factor $2$ out of $2 (3 c) + 2 (- 14)$ .

$\frac{2 (3 c - 14)}{2 c + 7}$