Solve 305/9-278/9

$$30 \frac { 5 } { 9 } - 27 \frac { 8 } { 9 }$$

Evaluate

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

Solution Steps

Multiply 30 and 9 to get 270.

$$\frac{270+5}{9}-\frac{27\times 9+8}{9}$$

Add 270 and 5 to get 275.

$$\frac{275}{9}-\frac{27\times 9+8}{9}$$

Multiply 27 and 9 to get 243.

$$\frac{275}{9}-\frac{243+8}{9}$$

Add 243 and 8 to get 251.

$$\frac{275}{9}-\frac{251}{9}$$

Since \frac{275}{9} and \frac{251}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{275-251}{9}$$

Subtract 251 from 275 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

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