Pre-Algebra Examples

$\frac{7}{n + 9} + \frac{12}{4 n + 36}$

Step 1

Cancel the common factor of $12$ and $4 n + 36$ .

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Step 1.1

Factor $4$ out of $12$ .

$\frac{7}{n + 9} + \frac{4 \cdot 3}{4 n + 36}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $4 n$ .

$\frac{7}{n + 9} + \frac{4 \cdot 3}{4 (n) + 36}$

Step 1.2.2

Factor $4$ out of $36$ .

$\frac{7}{n + 9} + \frac{4 \cdot 3}{4 (n) + 4 (9)}$

Step 1.2.3

Factor $4$ out of $4 (n) + 4 (9)$ .

$\frac{7}{n + 9} + \frac{4 \cdot 3}{4 (n + 9)}$

Step 1.2.4

Cancel the common factor.

$\frac{7}{n + 9} + \frac{4 \cdot 3}{4 (n + 9)}$

Step 1.2.5

Rewrite the expression.

$\frac{7}{n + 9} + \frac{3}{n + 9}$

Step 2

Combine the numerators over the common denominator.

$\frac{7 + 3}{n + 9}$

Step 3

Add $7$ and $3$ .

$\frac{10}{n + 9}$