Solve 32/9-21/3

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

Evaluate

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

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+2}{9}-\frac{2\times 3+1}{3}$$

Add 27 and 2 to get 29.

$$\frac{29}{9}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{29}{9}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{29}{9}-\frac{7}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{29}{9} and \frac{7}{3} to fractions with denominator 9.

$$\frac{29}{9}-\frac{21}{9}$$

Since \frac{29}{9} and \frac{21}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-21}{9}$$

Subtract 21 from 29 to get 8.

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

Factor

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