Solve 21/3+11/9+65/9

$$2 \frac{ 1 }{ 3 } +1 \frac{ 1 }{ 9 } +6 \frac{ 5 }{ 9 }$$

Evaluate

$$10$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}+\frac{1\times 9+1}{9}+\frac{6\times 9+5}{9}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}+\frac{1\times 9+1}{9}+\frac{6\times 9+5}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{7}{3}+\frac{9+1}{9}+\frac{6\times 9+5}{9}$$

Add 9 and 1 to get 10.

$$\frac{7}{3}+\frac{10}{9}+\frac{6\times 9+5}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{7}{3} and \frac{10}{9} to fractions with denominator 9.

$$\frac{21}{9}+\frac{10}{9}+\frac{6\times 9+5}{9}$$

Since \frac{21}{9} and \frac{10}{9} have the same denominator, add them by adding their numerators.

$$\frac{21+10}{9}+\frac{6\times 9+5}{9}$$

Add 21 and 10 to get 31.

$$\frac{31}{9}+\frac{6\times 9+5}{9}$$

Multiply 6 and 9 to get 54.

$$\frac{31}{9}+\frac{54+5}{9}$$

Add 54 and 5 to get 59.

$$\frac{31}{9}+\frac{59}{9}$$

Since \frac{31}{9} and \frac{59}{9} have the same denominator, add them by adding their numerators.

$$\frac{31+59}{9}$$

Add 31 and 59 to get 90.

$$\frac{90}{9}$$

Divide 90 by 9 to get 10.

$$10$$

Factor

$$2\times 5$$