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

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

Evaluate

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

Solution Steps

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

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

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{7}{8}-\frac{6}{8}$$

Since \frac{7}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{8}$$

Subtract 6 from 7 to get 1.

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

Factor

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