Solve 1/2+1/3-8/9=?

$$\frac { 1 } { 2 } + \frac { 1 } { 3 } - \frac { 8 } { 9 } = ?$$

Evaluate

$$-\frac{1}{18}\approx -0.055555556$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{2}{6}-\frac{8}{9}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}-\frac{8}{9}$$

Add 3 and 2 to get 5.

$$\frac{5}{6}-\frac{8}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{8}{9} to fractions with denominator 18.

$$\frac{15}{18}-\frac{16}{18}$$

Since \frac{15}{18} and \frac{16}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-16}{18}$$

Subtract 16 from 15 to get -1.

$$-\frac{1}{18}$$

Factor

$$-\frac{1}{18} = -0.05555555555555555$$