Solve 3/8+1/2-1/16

$$\frac { 3 } { 8 } + \frac { 1 } { 2 } - \frac { 1 } { 16 }$$

Evaluate

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

Solution Steps

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

$$\frac{3}{8}+\frac{4}{8}-\frac{1}{16}$$

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

$$\frac{3+4}{8}-\frac{1}{16}$$

Add 3 and 4 to get 7.

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

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

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