Basic Math Examples

$- \frac{8 a + 7 b}{2 a} - \frac{3 a - 5 b}{2 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (8 a + 7 b) - (3 a - 5 b)}{2 a}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

$\frac{- (8 a) - (7 b) - (3 a - 5 b)}{2 a}$

Step 2.2

Multiply $8$ by $- 1$ .

$\frac{- 8 a - (7 b) - (3 a - 5 b)}{2 a}$

Step 2.3

Multiply $7$ by $- 1$ .

$\frac{- 8 a - 7 b - (3 a - 5 b)}{2 a}$

Step 2.4

Apply the distributive property.

$\frac{- 8 a - 7 b - (3 a) - (- 5 b)}{2 a}$

Step 2.5

Multiply $3$ by $- 1$ .

$\frac{- 8 a - 7 b - 3 a - (- 5 b)}{2 a}$

Step 2.6

Multiply $- 5$ by $- 1$ .

$\frac{- 8 a - 7 b - 3 a + 5 b}{2 a}$

$\frac{- 8 a - 7 b - 3 a + 5 b}{2 a}$

Step 3

Simplify terms.

Tap for more steps...

Step 3.1

Subtract $3 a$ from $- 8 a$ .

$\frac{- 11 a - 7 b + 5 b}{2 a}$

Step 3.2

Add $- 7 b$ and $5 b$ .

$\frac{- 11 a - 2 b}{2 a}$

Step 3.3

Factor $- 1$ out of $- 11 a$ .

$\frac{- (11 a) - 2 b}{2 a}$

Step 3.4

Factor $- 1$ out of $- 2 b$ .

$\frac{- (11 a) - (2 b)}{2 a}$

Step 3.5

Factor $- 1$ out of $- (11 a) - (2 b)$ .

$\frac{- (11 a + 2 b)}{2 a}$

Step 3.6

Simplify the expression.

Tap for more steps...

Step 3.6.1

Rewrite $- (11 a + 2 b)$ as $- 1 (11 a + 2 b)$ .

$\frac{- 1 (11 a + 2 b)}{2 a}$

Step 3.6.2

Move the negative in front of the fraction.

$- \frac{11 a + 2 b}{2 a}$

$- \frac{11 a + 2 b}{2 a}$

$- \frac{11 a + 2 b}{2 a}$

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