Basic Math Examples

$- \frac{4 a - 6 v}{8 a} + \frac{8 a - 9 v}{8 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (4 a - 6 v) + 8 a - 9 v}{8 a}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- (4 a) - (- 6 v) + 8 a - 9 v}{8 a}$

Step 2.2

Multiply $4$ by $- 1$ .

$\frac{- 4 a - (- 6 v) + 8 a - 9 v}{8 a}$

Step 2.3

Multiply $- 6$ by $- 1$ .

$\frac{- 4 a + 6 v + 8 a - 9 v}{8 a}$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 4 a$ and $8 a$ .

$\frac{4 a + 6 v - 9 v}{8 a}$

Step 3.2

Subtract $9 v$ from $6 v$ .

$\frac{4 a - 3 v}{8 a}$