Solve 2-(1/2-1/4-1/8)quad

$$2 - ( \frac { 1 } { 2 } - \frac { 1 } { 4 } - \frac { 1 } { 8 } ) \quad$$

Evaluate

$$\frac{15}{8}=1.875$$

Solution Steps

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

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

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

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

Subtract 1 from 2 to get 1.

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

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

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

Since \frac{2}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 2 to get 1.

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

Convert 2 to fraction \frac{16}{8}.

$$\frac{16}{8}-\frac{1}{8}$$

Since \frac{16}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{8}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$