Solve -3+6/10+-3-4/15

$$\frac { - 3 + 6 } { 10 } + \frac { - 3 - 4 } { 15 }$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Add -3 and 6 to get 3.

$$\frac{3}{10}+\frac{-3-4}{15}$$

Subtract 4 from -3 to get -7.

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

Fraction \frac{-7}{15} can be rewritten as -\frac{7}{15} by extracting the negative sign.

$$\frac{3}{10}-\frac{7}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{3}{10} and \frac{7}{15} to fractions with denominator 30.

$$\frac{9}{30}-\frac{14}{30}$$

Since \frac{9}{30} and \frac{14}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-14}{30}$$

Subtract 14 from 9 to get -5.

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

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

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

Factor

$$-\frac{1}{6} = -0.16666666666666666$$