Solve 1/6-3/8-5/6

$$\frac { 1 } { 6 } - \frac { 3 } { 8 } - \frac { 5 } { 6 }$$

Evaluate

$$-\frac{25}{24}\approx -1.041666667$$

Solution Steps

Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{3}{8} to fractions with denominator 24.

$$\frac{4}{24}-\frac{9}{24}-\frac{5}{6}$$

Since \frac{4}{24} and \frac{9}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-9}{24}-\frac{5}{6}$$

Subtract 9 from 4 to get -5.

$$-\frac{5}{24}-\frac{5}{6}$$

Least common multiple of 24 and 6 is 24. Convert -\frac{5}{24} and \frac{5}{6} to fractions with denominator 24.

$$-\frac{5}{24}-\frac{20}{24}$$

Since -\frac{5}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-20}{24}$$

Subtract 20 from -5 to get -25.

$$-\frac{25}{24}$$

Factor

$$-\frac{25}{24} = -1\frac{1}{24} = -1.0416666666666667$$