Pre-Algebra Examples

$\frac{3 y + 9}{y + 4} + \frac{y + 7}{y + 4}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 y + 9 + y + 7}{y + 4}$

Step 2

Add $3 y$ and $y$ .

$\frac{4 y + 9 + 7}{y + 4}$

Step 3

Add $9$ and $7$ .

$\frac{4 y + 16}{y + 4}$

Step 4

Factor $4$ out of $4 y + 16$ .

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Step 4.1

Factor $4$ out of $4 y$ .

$\frac{4 (y) + 16}{y + 4}$

Step 4.2

Factor $4$ out of $16$ .

$\frac{4 y + 4 \cdot 4}{y + 4}$

Step 4.3

Factor $4$ out of $4 y + 4 \cdot 4$ .

$\frac{4 (y + 4)}{y + 4}$

Step 5

Cancel the common factor of $y + 4$ .

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Step 5.1

Cancel the common factor.

$\frac{4 (y + 4)}{y + 4}$

Step 5.2

Divide $4$ by $1$ .

$4$