Finite Math Examples

$- \frac{a - 10 b}{6 a} - \frac{11 a + 5 b}{6 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (a - 10 b) - (11 a + 5 b)}{6 a}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- a - (- 10 b) - (11 a + 5 b)}{6 a}$

Step 2.2

Multiply $- 10$ by $- 1$ .

$\frac{- a + 10 b - (11 a + 5 b)}{6 a}$

Step 2.3

Apply the distributive property.

$\frac{- a + 10 b - (11 a) - (5 b)}{6 a}$

Step 2.4

Multiply $11$ by $- 1$ .

$\frac{- a + 10 b - 11 a - (5 b)}{6 a}$

Step 2.5

Multiply $5$ by $- 1$ .

$\frac{- a + 10 b - 11 a - 5 b}{6 a}$

$\frac{- a + 10 b - 11 a - 5 b}{6 a}$

Step 3

Simplify terms.

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Step 3.1

Subtract $11 a$ from $- a$ .

$\frac{- 12 a + 10 b - 5 b}{6 a}$

Step 3.2

Subtract $5 b$ from $10 b$ .

$\frac{- 12 a + 5 b}{6 a}$

Step 3.3

Factor $- 1$ out of $- 12 a$ .

$\frac{- (12 a) + 5 b}{6 a}$

Step 3.4

Factor $- 1$ out of $5 b$ .

$\frac{- (12 a) - (- 5 b)}{6 a}$

Step 3.5

Factor $- 1$ out of $- (12 a) - (- 5 b)$ .

$\frac{- (12 a - 5 b)}{6 a}$

Step 3.6

Simplify the expression.

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Step 3.6.1

Rewrite $- (12 a - 5 b)$ as $- 1 (12 a - 5 b)$ .

$\frac{- 1 (12 a - 5 b)}{6 a}$

Step 3.6.2

Move the negative in front of the fraction.

$- \frac{12 a - 5 b}{6 a}$

$- \frac{12 a - 5 b}{6 a}$

$- \frac{12 a - 5 b}{6 a}$

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