Solve 1-1/10-1/40-1/16

$$1 - \frac { 1 } { 10 } - \frac { 1 } { 40 } - \frac { 1 } { 16 }$$

Evaluate

$$\frac{13}{16}=0.8125$$

Solution Steps

Convert 1 to fraction \frac{10}{10}.

$$\frac{10}{10}-\frac{1}{10}-\frac{1}{40}-\frac{1}{16}$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{10}-\frac{1}{40}-\frac{1}{16}$$

Subtract 1 from 10 to get 9.

$$\frac{9}{10}-\frac{1}{40}-\frac{1}{16}$$

Least common multiple of 10 and 40 is 40. Convert \frac{9}{10} and \frac{1}{40} to fractions with denominator 40.

$$\frac{36}{40}-\frac{1}{40}-\frac{1}{16}$$

Since \frac{36}{40} and \frac{1}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-1}{40}-\frac{1}{16}$$

Subtract 1 from 36 to get 35.

$$\frac{35}{40}-\frac{1}{16}$$

Reduce the fraction \frac{35}{40} to lowest terms by extracting and canceling out 5.

$$\frac{7}{8}-\frac{1}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{7}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{14}{16}-\frac{1}{16}$$

Since \frac{14}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-1}{16}$$

Subtract 1 from 14 to get 13.

$$\frac{13}{16}$$

Factor

$$\frac{13}{2 ^ {4}} = 0.8125$$