Solve 21/3+71/9+62/3

$$2 \frac { 1 } { 3 } + 7 \frac { 1 } { 9 } + 6 \frac { 2 } { 3 }$$

Evaluate

$$\frac{145}{9}\approx 16.111111111$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}+\frac{7\times 9+1}{9}+\frac{6\times 3+2}{3}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}+\frac{7\times 9+1}{9}+\frac{6\times 3+2}{3}$$

Multiply 7 and 9 to get 63.

$$\frac{7}{3}+\frac{63+1}{9}+\frac{6\times 3+2}{3}$$

Add 63 and 1 to get 64.

$$\frac{7}{3}+\frac{64}{9}+\frac{6\times 3+2}{3}$$

Least common multiple of 3 and 9 is 9. Convert \frac{7}{3} and \frac{64}{9} to fractions with denominator 9.

$$\frac{21}{9}+\frac{64}{9}+\frac{6\times 3+2}{3}$$

Since \frac{21}{9} and \frac{64}{9} have the same denominator, add them by adding their numerators.

$$\frac{21+64}{9}+\frac{6\times 3+2}{3}$$

Add 21 and 64 to get 85.

$$\frac{85}{9}+\frac{6\times 3+2}{3}$$

Multiply 6 and 3 to get 18.

$$\frac{85}{9}+\frac{18+2}{3}$$

Add 18 and 2 to get 20.

$$\frac{85}{9}+\frac{20}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{85}{9} and \frac{20}{3} to fractions with denominator 9.

$$\frac{85}{9}+\frac{60}{9}$$

Since \frac{85}{9} and \frac{60}{9} have the same denominator, add them by adding their numerators.

$$\frac{85+60}{9}$$

Add 85 and 60 to get 145.

$$\frac{145}{9}$$

Factor

$$\frac{5 \cdot 29}{3 ^ {2}} = 16\frac{1}{9} = 16.11111111111111$$