Basic Math Examples

$- \frac{8 a - 11 b}{3 a} - \frac{7 a + 4 b}{3 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (8 a - 11 b) - (7 a + 4 b)}{3 a}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- (8 a) - (- 11 b) - (7 a + 4 b)}{3 a}$

Step 2.2

Multiply $8$ by $- 1$ .

$\frac{- 8 a - (- 11 b) - (7 a + 4 b)}{3 a}$

Step 2.3

Multiply $- 11$ by $- 1$ .

$\frac{- 8 a + 11 b - (7 a + 4 b)}{3 a}$

Step 2.4

Apply the distributive property.

$\frac{- 8 a + 11 b - (7 a) - (4 b)}{3 a}$

Step 2.5

Multiply $7$ by $- 1$ .

$\frac{- 8 a + 11 b - 7 a - (4 b)}{3 a}$

Step 2.6

Multiply $4$ by $- 1$ .

$\frac{- 8 a + 11 b - 7 a - 4 b}{3 a}$

$\frac{- 8 a + 11 b - 7 a - 4 b}{3 a}$

Step 3

Simplify terms.

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Step 3.1

Subtract $7 a$ from $- 8 a$ .

$\frac{- 15 a + 11 b - 4 b}{3 a}$

Step 3.2

Subtract $4 b$ from $11 b$ .

$\frac{- 15 a + 7 b}{3 a}$

Step 3.3

Factor $- 1$ out of $- 15 a$ .

$\frac{- (15 a) + 7 b}{3 a}$

Step 3.4

Factor $- 1$ out of $7 b$ .

$\frac{- (15 a) - (- 7 b)}{3 a}$

Step 3.5

Factor $- 1$ out of $- (15 a) - (- 7 b)$ .

$\frac{- (15 a - 7 b)}{3 a}$

Step 3.6

Simplify the expression.

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Step 3.6.1

Rewrite $- (15 a - 7 b)$ as $- 1 (15 a - 7 b)$ .

$\frac{- 1 (15 a - 7 b)}{3 a}$

Step 3.6.2

Move the negative in front of the fraction.

$- \frac{15 a - 7 b}{3 a}$

$- \frac{15 a - 7 b}{3 a}$

$- \frac{15 a - 7 b}{3 a}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$