Solve 11/8-3/4-2/3

$$\frac { 11 } { 8 } - \frac { 3 } { 4 } - \frac { 2 } { 3 }$$

Evaluate

$$-\frac{1}{24}\approx -0.041666667$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{11}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{11}{8}-\frac{6}{8}-\frac{2}{3}$$

Since \frac{11}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-6}{8}-\frac{2}{3}$$

Subtract 6 from 11 to get 5.

$$\frac{5}{8}-\frac{2}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{5}{8} and \frac{2}{3} to fractions with denominator 24.

$$\frac{15}{24}-\frac{16}{24}$$

Since \frac{15}{24} and \frac{16}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-16}{24}$$

Subtract 16 from 15 to get -1.

$$-\frac{1}{24}$$

Factor

$$-\frac{1}{24} = -0.041666666666666664$$