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

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

Evaluate

$$-\frac{19}{15}\approx -1.266666667$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert -\frac{3}{5} and \frac{1}{6} to fractions with denominator 30.

$$-\frac{18}{30}-\frac{5}{30}-\frac{3}{6}$$

Since -\frac{18}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-18-5}{30}-\frac{3}{6}$$

Subtract 5 from -18 to get -23.

$$-\frac{23}{30}-\frac{3}{6}$$

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

$$-\frac{23}{30}-\frac{1}{2}$$

Least common multiple of 30 and 2 is 30. Convert -\frac{23}{30} and \frac{1}{2} to fractions with denominator 30.

$$-\frac{23}{30}-\frac{15}{30}$$

Since -\frac{23}{30} and \frac{15}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-23-15}{30}$$

Subtract 15 from -23 to get -38.

$$\frac{-38}{30}$$

Reduce the fraction \frac{-38}{30} to lowest terms by extracting and canceling out 2.

$$-\frac{19}{15}$$

Factor

$$-\frac{19}{15} = -1\frac{4}{15} = -1.2666666666666666$$