Solve {l}{+1/2-1/4}{-1/8-1/16}

$$\left. \begin{array} { l } { + \frac { 1 } { 2 } - \frac { 1 } { 4 } } \\ { - \frac { 1 } { 8 } - \frac { 1 } { 16 } } \end{array} \right.$$

Evaluate

$$\frac{1}{16}=0.0625$$

Solution Steps

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

$$\frac{2}{4}-\frac{1}{4}-\frac{1}{8}-\frac{1}{16}$$

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

$$\frac{2-1}{4}-\frac{1}{8}-\frac{1}{16}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{4}-\frac{1}{8}-\frac{1}{16}$$

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

$$\frac{2}{8}-\frac{1}{8}-\frac{1}{16}$$

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

$$\frac{2-1}{8}-\frac{1}{16}$$

Subtract 1 from 2 to get 1.

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

Least common multiple of 8 and 16 is 16. Convert \frac{1}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{2}{16}-\frac{1}{16}$$

Since \frac{2}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{16}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{16}$$

Factor

$$\frac{1}{2 ^ {4}} = 0.0625$$