Finite Math Examples

$\frac{15 a - 1}{3 a + 5} + \frac{16 - 6 a}{3 a + 5}$

Step 1

Combine the numerators over the common denominator.

$\frac{15 a - 1 + 16 - 6 a}{3 a + 5}$

Step 2

Subtract $6 a$ from $15 a$ .

$\frac{9 a - 1 + 16}{3 a + 5}$

Step 3

Add $- 1$ and $16$ .

$\frac{9 a + 15}{3 a + 5}$

Step 4

Factor $3$ out of $9 a + 15$ .

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Step 4.1

Factor $3$ out of $9 a$ .

$\frac{3 (3 a) + 15}{3 a + 5}$

Step 4.2

Factor $3$ out of $15$ .

$\frac{3 (3 a) + 3 (5)}{3 a + 5}$

Step 4.3

Factor $3$ out of $3 (3 a) + 3 (5)$ .

$\frac{3 (3 a + 5)}{3 a + 5}$

Step 5

Cancel the common factor of $3 a + 5$ .

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Step 5.1

Cancel the common factor.

$\frac{3 (3 a + 5)}{3 a + 5}$

Step 5.2

Divide $3$ by $1$ .

$3$