Solve 162/3+27/9+22/3

$$16 \frac { 2 } { 3 } + 2 \frac { 7 } { 9 } + 2 \frac { 2 } { 3 }$$

Evaluate

$$\frac{199}{9}\approx 22.111111111$$

Solution Steps

Multiply 16 and 3 to get 48.

$$\frac{48+2}{3}+\frac{2\times 9+7}{9}+\frac{2\times 3+2}{3}$$

Add 48 and 2 to get 50.

$$\frac{50}{3}+\frac{2\times 9+7}{9}+\frac{2\times 3+2}{3}$$

Multiply 2 and 9 to get 18.

$$\frac{50}{3}+\frac{18+7}{9}+\frac{2\times 3+2}{3}$$

Add 18 and 7 to get 25.

$$\frac{50}{3}+\frac{25}{9}+\frac{2\times 3+2}{3}$$

Least common multiple of 3 and 9 is 9. Convert \frac{50}{3} and \frac{25}{9} to fractions with denominator 9.

$$\frac{150}{9}+\frac{25}{9}+\frac{2\times 3+2}{3}$$

Since \frac{150}{9} and \frac{25}{9} have the same denominator, add them by adding their numerators.

$$\frac{150+25}{9}+\frac{2\times 3+2}{3}$$

Add 150 and 25 to get 175.

$$\frac{175}{9}+\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{175}{9}+\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{175}{9}+\frac{8}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{175}{9} and \frac{8}{3} to fractions with denominator 9.

$$\frac{175}{9}+\frac{24}{9}$$

Since \frac{175}{9} and \frac{24}{9} have the same denominator, add them by adding their numerators.

$$\frac{175+24}{9}$$

Add 175 and 24 to get 199.

$$\frac{199}{9}$$

Factor

$$\frac{199}{3 ^ {2}} = 22\frac{1}{9} = 22.11111111111111$$