Solve 2/15+7/10-6/3

$$\frac { 2 } { 15 } + \frac { 7 } { 10 } - \frac { 6 } { 3 }$$

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

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

$$\frac{4}{30}+\frac{21}{30}-\frac{6}{3}$$

Since \frac{4}{30} and \frac{21}{30} have the same denominator, add them by adding their numerators.

$$\frac{4+21}{30}-\frac{6}{3}$$

Add 4 and 21 to get 25.

$$\frac{25}{30}-\frac{6}{3}$$

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

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

Divide 6 by 3 to get 2.

$$\frac{5}{6}-2$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{5}{6}-\frac{12}{6}$$

Since \frac{5}{6} and \frac{12}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-12}{6}$$

Subtract 12 from 5 to get -7.

$$-\frac{7}{6}$$

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$