Solve 3+2/6-1/9

$$3 + \frac { 2 } { 6 } - \frac { 1 } { 9 }$$

Evaluate

$$\frac{29}{9}\approx 3.222222222$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

Convert 3 to fraction \frac{9}{3}.

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

Since \frac{9}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

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

Add 9 and 1 to get 10.

$$\frac{10}{3}-\frac{1}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{10}{3} and \frac{1}{9} to fractions with denominator 9.

$$\frac{30}{9}-\frac{1}{9}$$

Since \frac{30}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-1}{9}$$

Subtract 1 from 30 to get 29.

$$\frac{29}{9}$$

Factor

$$\frac{29}{3 ^ {2}} = 3\frac{2}{9} = 3.2222222222222223$$