Solve 27/12-9/8-3/2

$$\frac { 27 } { 12 } - \frac { 9 } { 8 } - \frac { 3 } { 2 }$$

Evaluate

$$-\frac{3}{8}=-0.375$$

Solution Steps

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$\frac{9}{4}-\frac{9}{8}-\frac{3}{2}$$

Least common multiple of 4 and 8 is 8. Convert \frac{9}{4} and \frac{9}{8} to fractions with denominator 8.

$$\frac{18}{8}-\frac{9}{8}-\frac{3}{2}$$

Since \frac{18}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-9}{8}-\frac{3}{2}$$

Subtract 9 from 18 to get 9.

$$\frac{9}{8}-\frac{3}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{9}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{9}{8}-\frac{12}{8}$$

Since \frac{9}{8} and \frac{12}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-12}{8}$$

Subtract 12 from 9 to get -3.

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

Factor

$$-\frac{3}{8} = -0.375$$