Solve 1/5-8/6-3/4

$$\frac { 1 } { 5 } - \frac { 8 } { 6 } - \frac { 3 } { 4 }$$

Evaluate

$$-\frac{113}{60}\approx -1.883333333$$

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{3}{15}-\frac{20}{15}-\frac{3}{4}$$

Since \frac{3}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-20}{15}-\frac{3}{4}$$

Subtract 20 from 3 to get -17.

$$-\frac{17}{15}-\frac{3}{4}$$

Least common multiple of 15 and 4 is 60. Convert -\frac{17}{15} and \frac{3}{4} to fractions with denominator 60.

$$-\frac{68}{60}-\frac{45}{60}$$

Since -\frac{68}{60} and \frac{45}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-68-45}{60}$$

Subtract 45 from -68 to get -113.

$$-\frac{113}{60}$$

Factor

$$-\frac{113}{60} = -1\frac{53}{60} = -1.8833333333333333$$