Solve 3/4-11/16-5/8=

$$\frac{ 3 }{ 4 } - \frac{ 11 }{ 16 } - \frac{ 5 }{ 8 } =$$

Evaluate

$$-\frac{9}{16}=-0.5625$$

Solution Steps

Least common multiple of 4 and 16 is 16. Convert \frac{3}{4} and \frac{11}{16} to fractions with denominator 16.

$$\frac{12}{16}-\frac{11}{16}-\frac{5}{8}$$

Since \frac{12}{16} and \frac{11}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-11}{16}-\frac{5}{8}$$

Subtract 11 from 12 to get 1.

$$\frac{1}{16}-\frac{5}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{1}{16} and \frac{5}{8} to fractions with denominator 16.

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

Since \frac{1}{16} and \frac{10}{16} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 10 from 1 to get -9.

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

Factor

$$-\frac{9}{16} = -0.5625$$