Solve 94/9-37/9

$$9 \frac { 4 } { 9 } - 3 \frac { 7 } { 9 }$$

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Multiply 9 and 9 to get 81.

$$\frac{81+4}{9}-\frac{3\times 9+7}{9}$$

Add 81 and 4 to get 85.

$$\frac{85}{9}-\frac{3\times 9+7}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{85}{9}-\frac{27+7}{9}$$

Add 27 and 7 to get 34.

$$\frac{85}{9}-\frac{34}{9}$$

Since \frac{85}{9} and \frac{34}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-34}{9}$$

Subtract 34 from 85 to get 51.

$$\frac{51}{9}$$

Reduce the fraction \frac{51}{9} to lowest terms by extracting and canceling out 3.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$