Solve 22/9-2/3=

$$2 \frac { 2 } { 9 } - \frac { 2 } { 3 } =$$

Evaluate

$$\frac{14}{9}\approx 1.555555556$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+2}{9}-\frac{2}{3}$$

Add 18 and 2 to get 20.

$$\frac{20}{9}-\frac{2}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{20}{9} and \frac{2}{3} to fractions with denominator 9.

$$\frac{20}{9}-\frac{6}{9}$$

Since \frac{20}{9} and \frac{6}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-6}{9}$$

Subtract 6 from 20 to get 14.

$$\frac{14}{9}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {2}} = 1\frac{5}{9} = 1.5555555555555556$$