Solve 7/6-3/2-7/6

$$\frac{ 7 }{ 6 } - \frac{ 3 }{ 2 } - \frac{ 7 }{ 6 }$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Least common multiple of 6 and 2 is 6. Convert \frac{7}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{7}{6}-\frac{9}{6}-\frac{7}{6}$$

Since \frac{7}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-9}{6}-\frac{7}{6}$$

Subtract 9 from 7 to get -2.

$$\frac{-2}{6}-\frac{7}{6}$$

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

$$-\frac{1}{3}-\frac{7}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{1}{3} and \frac{7}{6} to fractions with denominator 6.

$$-\frac{2}{6}-\frac{7}{6}$$

Since -\frac{2}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-7}{6}$$

Subtract 7 from -2 to get -9.

$$\frac{-9}{6}$$

Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$