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

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

Evaluate

$$10$$

Solution Steps

Multiply 1 and 9 to get 9.

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

Add 9 and 1 to get 10.

$$\frac{10}{9}+\frac{6\times 9+5}{9}+\frac{2\times 3+1}{3}$$

Multiply 6 and 9 to get 54.

$$\frac{10}{9}+\frac{54+5}{9}+\frac{2\times 3+1}{3}$$

Add 54 and 5 to get 59.

$$\frac{10}{9}+\frac{59}{9}+\frac{2\times 3+1}{3}$$

Since \frac{10}{9} and \frac{59}{9} have the same denominator, add them by adding their numerators.

$$\frac{10+59}{9}+\frac{2\times 3+1}{3}$$

Add 10 and 59 to get 69.

$$\frac{69}{9}+\frac{2\times 3+1}{3}$$

Reduce the fraction \frac{69}{9} to lowest terms by extracting and canceling out 3.

$$\frac{23}{3}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{23}{3}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{23}{3}+\frac{7}{3}$$

Since \frac{23}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{23+7}{3}$$

Add 23 and 7 to get 30.

$$\frac{30}{3}$$

Divide 30 by 3 to get 10.

$$10$$

Factor

$$2\times 5$$