Solve 1/3+2/9+1/3

$$\frac { 1 } { 3 } + \frac { 2 } { 9 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{8}{9}\approx 0.888888889$$

Solution Steps

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{2}{9} to fractions with denominator 9.

$$\frac{3}{9}+\frac{2}{9}+\frac{1}{3}$$

Since \frac{3}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{9}+\frac{1}{3}$$

Add 3 and 2 to get 5.

$$\frac{5}{9}+\frac{1}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{5}{9} and \frac{1}{3} to fractions with denominator 9.

$$\frac{5}{9}+\frac{3}{9}$$

Since \frac{5}{9} and \frac{3}{9} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{9}$$

Add 5 and 3 to get 8.

$$\frac{8}{9}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {2}} = 0.8888888888888888$$