Solve 31/9-22/3

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

Evaluate

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

Solution Steps

Multiply 3 and 9 to get 27.

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

Add 27 and 1 to get 28.

$$\frac{28}{9}-\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{28}{9}-\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{28}{9}-\frac{8}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{28}{9} and \frac{8}{3} to fractions with denominator 9.

$$\frac{28}{9}-\frac{24}{9}$$

Since \frac{28}{9} and \frac{24}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-24}{9}$$

Subtract 24 from 28 to get 4.

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

Factor

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