Solve 102/3-67/9

$$10 \frac { 2 } { 3 } - 6 \frac { 7 } { 9 }$$

Evaluate

$$\frac{35}{9}\approx 3.888888889$$

Solution Steps

Multiply 10 and 3 to get 30.

$$\frac{30+2}{3}-\frac{6\times 9+7}{9}$$

Add 30 and 2 to get 32.

$$\frac{32}{3}-\frac{6\times 9+7}{9}$$

Multiply 6 and 9 to get 54.

$$\frac{32}{3}-\frac{54+7}{9}$$

Add 54 and 7 to get 61.

$$\frac{32}{3}-\frac{61}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{32}{3} and \frac{61}{9} to fractions with denominator 9.

$$\frac{96}{9}-\frac{61}{9}$$

Since \frac{96}{9} and \frac{61}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{96-61}{9}$$

Subtract 61 from 96 to get 35.

$$\frac{35}{9}$$

Factor

$$\frac{5 \cdot 7}{3 ^ {2}} = 3\frac{8}{9} = 3.888888888888889$$