Solve 82/9-45/9

$$8 \frac { 2 } { 9 } - 4 \frac { 5 } { 9 }$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{72+2}{9}-\frac{4\times 9+5}{9}$$

Add 72 and 2 to get 74.

$$\frac{74}{9}-\frac{4\times 9+5}{9}$$

Multiply 4 and 9 to get 36.

$$\frac{74}{9}-\frac{36+5}{9}$$

Add 36 and 5 to get 41.

$$\frac{74}{9}-\frac{41}{9}$$

Since \frac{74}{9} and \frac{41}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{74-41}{9}$$

Subtract 41 from 74 to get 33.

$$\frac{33}{9}$$

Reduce the fraction \frac{33}{9} to lowest terms by extracting and canceling out 3.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$