Solve 3x-1/2-9x-7/6

$$\frac { 3 x - 1 } { 2 } - \frac { 9 x - 7 } { 6 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 6 is 6. Multiply \frac{3x-1}{2} times \frac{3}{3}.

$$\frac{3\left(3x-1\right)}{6}-\frac{9x-7}{6}$$

Since \frac{3\left(3x-1\right)}{6} and \frac{9x-7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(3x-1\right)-\left(9x-7\right)}{6}$$

Do the multiplications in 3\left(3x-1\right)-\left(9x-7\right).

$$\frac{9x-3-9x+7}{6}$$

Combine like terms in 9x-3-9x+7.

$$\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{3\left(3x-1\right)-\left(9x-7\right)}{6}$$

Simplify.

$$\frac{2}{3}$$