Solve -1/3+7/9-5/18

$$- \frac { 1 } { 3 } + \frac { 7 } { 9 } - \frac { 5 } { 18 }$$

Evaluate

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

Solution Steps

Least common multiple of 3 and 9 is 9. Convert -\frac{1}{3} and \frac{7}{9} to fractions with denominator 9.

$$-\frac{3}{9}+\frac{7}{9}-\frac{5}{18}$$

Since -\frac{3}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.

$$\frac{-3+7}{9}-\frac{5}{18}$$

Add -3 and 7 to get 4.

$$\frac{4}{9}-\frac{5}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{4}{9} and \frac{5}{18} to fractions with denominator 18.

$$\frac{8}{18}-\frac{5}{18}$$

Since \frac{8}{18} and \frac{5}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{18}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{18}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

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

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$