Solve t/3t-6-4/t-2

$$\frac { t } { 3 t - 6 } - \frac { 4 } { t - 2 }$$

Evaluate

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

Short Solution Steps

Factor 3t-6.

$$\frac{t}{3\left(t-2\right)}-\frac{4}{t-2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3\left(t-2\right) and t-2 is 3\left(t-2\right). Multiply \frac{4}{t-2} times \frac{3}{3}.

$$\frac{t}{3\left(t-2\right)}-\frac{4\times 3}{3\left(t-2\right)}$$

Since \frac{t}{3\left(t-2\right)} and \frac{4\times 3}{3\left(t-2\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{t-4\times 3}{3\left(t-2\right)}$$

Do the multiplications in t-4\times 3.

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

Expand 3\left(t-2\right).

$$\frac{t-12}{3t-6}$$

Factor

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