Solve 3/2-1/4-3/8

$$\frac { 3 } { 2 } - \frac { 1 } { 4 } - \frac { 3 } { 8 }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{6}{4}-\frac{1}{4}-\frac{3}{8}$$

Since \frac{6}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{4}-\frac{3}{8}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{4}-\frac{3}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{3}{8} to fractions with denominator 8.

$$\frac{10}{8}-\frac{3}{8}$$

Since \frac{10}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{8}$$

Subtract 3 from 10 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$