Basic Math Examples

$\frac{15 a - 1}{2 a + 9} + \frac{28 - 9 a}{2 a + 9}$

Step 1

Combine the numerators over the common denominator.

$\frac{15 a - 1 + 28 - 9 a}{2 a + 9}$

Step 2

Subtract $9 a$ from $15 a$ .

$\frac{6 a - 1 + 28}{2 a + 9}$

Step 3

Add $- 1$ and $28$ .

$\frac{6 a + 27}{2 a + 9}$

Step 4

Factor $3$ out of $6 a + 27$ .

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Step 4.1

Factor $3$ out of $6 a$ .

$\frac{3 (2 a) + 27}{2 a + 9}$

Step 4.2

Factor $3$ out of $27$ .

$\frac{3 (2 a) + 3 (9)}{2 a + 9}$

Step 4.3

Factor $3$ out of $3 (2 a) + 3 (9)$ .

$\frac{3 (2 a + 9)}{2 a + 9}$

Step 5

Cancel the common factor of $2 a + 9$ .

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Step 5.1

Cancel the common factor.

$\frac{3 (2 a + 9)}{2 a + 9}$

Step 5.2

Divide $3$ by $1$ .

$3$