Solve (1/2-3/4+7/8)

$$( \frac { 1 } { 2 } - \frac { 3 } { 4 } + \frac { 7 } { 8 } )$$

Evaluate

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

Solution Steps

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

$$\frac{2}{4}-\frac{3}{4}+\frac{7}{8}$$

Since \frac{2}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-3}{4}+\frac{7}{8}$$

Subtract 3 from 2 to get -1.

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

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

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

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

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

Add -2 and 7 to get 5.

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

Factor

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