Solve -3/6-1/5-4/30

$$- \frac { 3 } { 6 } - \frac { 1 } { 5 } - \frac { 4 } { 30 }$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{2}-\frac{1}{5}-\frac{4}{30}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$-\frac{5}{10}-\frac{2}{10}-\frac{4}{30}$$

Since -\frac{5}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-2}{10}-\frac{4}{30}$$

Subtract 2 from -5 to get -7.

$$-\frac{7}{10}-\frac{4}{30}$$

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{10}-\frac{2}{15}$$

Least common multiple of 10 and 15 is 30. Convert -\frac{7}{10} and \frac{2}{15} to fractions with denominator 30.

$$-\frac{21}{30}-\frac{4}{30}$$

Since -\frac{21}{30} and \frac{4}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-4}{30}$$

Subtract 4 from -21 to get -25.

$$\frac{-25}{30}$$

Reduce the fraction \frac{-25}{30} to lowest terms by extracting and canceling out 5.

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

Factor

$$-\frac{5}{6} = -0.8333333333333334$$