Solve -2/5+7/15+(-3/12)

$$- \frac { 2 } { 5 } + \frac { 7 } { 15 } + ( - \frac { 3 } { 12 } )$$

Evaluate

$$-\frac{11}{60}\approx -0.183333333$$

Solution Steps

Least common multiple of 5 and 15 is 15. Convert -\frac{2}{5} and \frac{7}{15} to fractions with denominator 15.

$$-\frac{6}{15}+\frac{7}{15}-\frac{3}{12}$$

Since -\frac{6}{15} and \frac{7}{15} have the same denominator, add them by adding their numerators.

$$\frac{-6+7}{15}-\frac{3}{12}$$

Add -6 and 7 to get 1.

$$\frac{1}{15}-\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{15}-\frac{1}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{1}{15} and \frac{1}{4} to fractions with denominator 60.

$$\frac{4}{60}-\frac{15}{60}$$

Since \frac{4}{60} and \frac{15}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-15}{60}$$

Subtract 15 from 4 to get -11.

$$-\frac{11}{60}$$

Factor

$$-\frac{11}{60} = -0.18333333333333332$$