Solve 6/8-12/8-22/8

$$\frac { 6 } { 8 } - \frac { 12 } { 8 } - \frac { 22 } { 8 }$$

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}-\frac{12}{8}-\frac{22}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}-\frac{3}{2}-\frac{22}{8}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{3}{4}-\frac{6}{4}-\frac{22}{8}$$

Since \frac{3}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-6}{4}-\frac{22}{8}$$

Subtract 6 from 3 to get -3.

$$-\frac{3}{4}-\frac{22}{8}$$

Reduce the fraction \frac{22}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{3}{4}-\frac{11}{4}$$

Since -\frac{3}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-11}{4}$$

Subtract 11 from -3 to get -14.

$$\frac{-14}{4}$$

Reduce the fraction \frac{-14}{4} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$