Finite Math Examples

$\frac{- 2 t + 12}{6 t - 10} + \frac{- 3 t}{6 t - 10}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 2 t + 12 - 3 t}{6 t - 10}$

Step 2

Subtract $3 t$ from $- 2 t$ .

$\frac{- 5 t + 12}{6 t - 10}$

Step 3

Factor $2$ out of $6 t - 10$ .

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Step 3.1

Factor $2$ out of $6 t$ .

$\frac{- 5 t + 12}{2 (3 t) - 10}$

Step 3.2

Factor $2$ out of $- 10$ .

$\frac{- 5 t + 12}{2 (3 t) + 2 (- 5)}$

Step 3.3

Factor $2$ out of $2 (3 t) + 2 (- 5)$ .

$\frac{- 5 t + 12}{2 (3 t - 5)}$

Step 4

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

$\frac{- (5 t) + 12}{2 (3 t - 5)}$

Step 5

Rewrite $12$ as $- 1 (- 12)$ .

$\frac{- (5 t) - 1 (- 12)}{2 (3 t - 5)}$

Step 6

Factor $- 1$ out of $- (5 t) - 1 (- 12)$ .

$\frac{- (5 t - 12)}{2 (3 t - 5)}$

Step 7

Simplify the expression.

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Step 7.1

Rewrite $- (5 t - 12)$ as $- 1 (5 t - 12)$ .

$\frac{- 1 (5 t - 12)}{2 (3 t - 5)}$

Step 7.2

Move the negative in front of the fraction.

$- \frac{5 t - 12}{2 (3 t - 5)}$