Solve 5/8+3/4-1/2

$$\frac { 5 } { 8 } + \frac { 3 } { 4 } - \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

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

$$\frac{5}{8}+\frac{6}{8}-\frac{1}{2}$$

Since \frac{5}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{8}-\frac{1}{2}$$

Add 5 and 6 to get 11.

$$\frac{11}{8}-\frac{1}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{11}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{11}{8}-\frac{4}{8}$$

Since \frac{11}{8} and \frac{4}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-4}{8}$$

Subtract 4 from 11 to get 7.

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

Factor

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