Solve 81/3-37/9

$$8 \frac { 1 } { 3 } - 3 \frac { 7 } { 9 }$$

Evaluate

$$\frac{41}{9}\approx 4.555555556$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+1}{3}-\frac{3\times 9+7}{9}$$

Add 24 and 1 to get 25.

$$\frac{25}{3}-\frac{3\times 9+7}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{25}{3}-\frac{27+7}{9}$$

Add 27 and 7 to get 34.

$$\frac{25}{3}-\frac{34}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{25}{3} and \frac{34}{9} to fractions with denominator 9.

$$\frac{75}{9}-\frac{34}{9}$$

Since \frac{75}{9} and \frac{34}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-34}{9}$$

Subtract 34 from 75 to get 41.

$$\frac{41}{9}$$

Factor

$$\frac{41}{3 ^ {2}} = 4\frac{5}{9} = 4.555555555555555$$