Solve 2/15-3/5-7/10=

$$\frac { 2 } { 15 } - \frac { 3 } { 5 } - \frac { 7 } { 10 } =$$

Evaluate

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

Solution Steps

Least common multiple of 15 and 5 is 15. Convert \frac{2}{15} and \frac{3}{5} to fractions with denominator 15.

$$\frac{2}{15}-\frac{9}{15}-\frac{7}{10}$$

Since \frac{2}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-9}{15}-\frac{7}{10}$$

Subtract 9 from 2 to get -7.

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

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

$$-\frac{14}{30}-\frac{21}{30}$$

Since -\frac{14}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-14-21}{30}$$

Subtract 21 from -14 to get -35.

$$\frac{-35}{30}$$

Reduce the fraction \frac{-35}{30} to lowest terms by extracting and canceling out 5.

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

Factor

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