Solve 8/9-1/3+5/18

$$\frac { 8 } { 9 } - \frac { 1 } { 3 } + \frac { 5 } { 18 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Least common multiple of 9 and 3 is 9. Convert \frac{8}{9} and \frac{1}{3} to fractions with denominator 9.

$$\frac{8}{9}-\frac{3}{9}+\frac{5}{18}$$

Since \frac{8}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{9}+\frac{5}{18}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{9}+\frac{5}{18}$$

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

$$\frac{10}{18}+\frac{5}{18}$$

Since \frac{10}{18} and \frac{5}{18} have the same denominator, add them by adding their numerators.

$$\frac{10+5}{18}$$

Add 10 and 5 to get 15.

$$\frac{15}{18}$$

Reduce the fraction \frac{15}{18} to lowest terms by extracting and canceling out 3.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$