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

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

Evaluate

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

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{5}{15}-\frac{3}{15}-\frac{1}{4}$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{15}-\frac{1}{4}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{15}-\frac{1}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{2}{15} and \frac{1}{4} to fractions with denominator 60.

$$\frac{8}{60}-\frac{15}{60}$$

Since \frac{8}{60} and \frac{15}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-15}{60}$$

Subtract 15 from 8 to get -7.

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

Factor

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