Solve 3/2-5/6-2/9=

$$\frac { 3 } { 2 } - \frac { 5 } { 6 } - \frac { 2 } { 9 } =$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{3}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{9}{6}-\frac{5}{6}-\frac{2}{9}$$

Since \frac{9}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-5}{6}-\frac{2}{9}$$

Subtract 5 from 9 to get 4.

$$\frac{4}{6}-\frac{2}{9}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{6}{9}-\frac{2}{9}$$

Since \frac{6}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-2}{9}$$

Subtract 2 from 6 to get 4.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$