Solve 85/9-58/9

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

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply 8 and 9 to get 72.

$$\frac{72+5}{9}-\frac{5\times 9+8}{9}$$

Add 72 and 5 to get 77.

$$\frac{77}{9}-\frac{5\times 9+8}{9}$$

Multiply 5 and 9 to get 45.

$$\frac{77}{9}-\frac{45+8}{9}$$

Add 45 and 8 to get 53.

$$\frac{77}{9}-\frac{53}{9}$$

Since \frac{77}{9} and \frac{53}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-53}{9}$$

Subtract 53 from 77 to get 24.

$$\frac{24}{9}$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$