Solve 7/8+1/4-1/2

$$\frac { 7 } { 8 } + \frac { 1 } { 4 } - \frac { 1 } { 2 }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{7}{8}+\frac{2}{8}-\frac{1}{2}$$

Since \frac{7}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{8}-\frac{1}{2}$$

Add 7 and 2 to get 9.

$$\frac{9}{8}-\frac{1}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{9}{8} and \frac{1}{2} to fractions with denominator 8.

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

Since \frac{9}{8} and \frac{4}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 9 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$