Solve 9/16+1/4-1/2

$$\frac { 9 } { 16 } + \frac { 1 } { 4 } - \frac { 1 } { 2 }$$

Evaluate

$$\frac{5}{16}=0.3125$$

Solution Steps

Least common multiple of 16 and 4 is 16. Convert \frac{9}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{9}{16}+\frac{4}{16}-\frac{1}{2}$$

Since \frac{9}{16} and \frac{4}{16} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{16}-\frac{1}{2}$$

Add 9 and 4 to get 13.

$$\frac{13}{16}-\frac{1}{2}$$

Least common multiple of 16 and 2 is 16. Convert \frac{13}{16} and \frac{1}{2} to fractions with denominator 16.

$$\frac{13}{16}-\frac{8}{16}$$

Since \frac{13}{16} and \frac{8}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-8}{16}$$

Subtract 8 from 13 to get 5.

$$\frac{5}{16}$$

Factor

$$\frac{5}{2 ^ {4}} = 0.3125$$