Solve 1/3-1/4-1/5

$$\frac { 1 } { 3 } - \frac { 1 } { 4 } - \frac { 1 } { 5 }$$

Evaluate

$$-\frac{7}{60}\approx -0.116666667$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{4}{12}-\frac{3}{12}-\frac{1}{5}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{12}-\frac{1}{5}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{12}-\frac{1}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{1}{12} and \frac{1}{5} to fractions with denominator 60.

$$\frac{5}{60}-\frac{12}{60}$$

Since \frac{5}{60} and \frac{12}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-12}{60}$$

Subtract 12 from 5 to get -7.

$$-\frac{7}{60}$$

Factor

$$-\frac{7}{60} = -0.11666666666666667$$