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

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

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

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

$$\frac{1}{2}-\left(\frac{6}{8}-\frac{3}{8}\right)$$

Since \frac{6}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}-\frac{6-3}{8}$$

Subtract 3 from 6 to get 3.

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

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

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

Since \frac{4}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 4 to get 1.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$