Solve 3/4-3/16-3/8

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

Evaluate

$$\frac{3}{16}=0.1875$$

Solution Steps

Least common multiple of 4 and 16 is 16. Convert \frac{3}{4} and \frac{3}{16} to fractions with denominator 16.

$$\frac{12}{16}-\frac{3}{16}-\frac{3}{8}$$

Since \frac{12}{16} and \frac{3}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-3}{16}-\frac{3}{8}$$

Subtract 3 from 12 to get 9.

$$\frac{9}{16}-\frac{3}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{9}{16} and \frac{3}{8} to fractions with denominator 16.

$$\frac{9}{16}-\frac{6}{16}$$

Since \frac{9}{16} and \frac{6}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-6}{16}$$

Subtract 6 from 9 to get 3.

$$\frac{3}{16}$$

Factor

$$\frac{3}{2 ^ {4}} = 0.1875$$