Solve 1/10+2/3-5/6=

$$\frac { 1 } { 10 } + \frac { 2 } { 3 } - \frac { 5 } { 6 } =$$

Evaluate

$$-\frac{1}{15}\approx -0.066666667$$

Solution Steps

Least common multiple of 10 and 3 is 30. Convert \frac{1}{10} and \frac{2}{3} to fractions with denominator 30.

$$\frac{3}{30}+\frac{20}{30}-\frac{5}{6}$$

Since \frac{3}{30} and \frac{20}{30} have the same denominator, add them by adding their numerators.

$$\frac{3+20}{30}-\frac{5}{6}$$

Add 3 and 20 to get 23.

$$\frac{23}{30}-\frac{5}{6}$$

Least common multiple of 30 and 6 is 30. Convert \frac{23}{30} and \frac{5}{6} to fractions with denominator 30.

$$\frac{23}{30}-\frac{25}{30}$$

Since \frac{23}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-25}{30}$$

Subtract 25 from 23 to get -2.

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

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

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

Factor

$$-\frac{1}{15} = -0.06666666666666667$$