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

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

Evaluate

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

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{5}{8} to fractions with denominator 8.

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

Since \frac{4}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

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

Add 4 and 5 to get 9.

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

Least common multiple of 8 and 4 is 8. Convert \frac{9}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{9}{8}-\frac{6}{8}$$

Since \frac{9}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-6}{8}$$

Subtract 6 from 9 to get 3.

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

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$