Solve 27/9+38/9

$$2 \frac { 7 } { 9 } + 3 \frac { 8 } { 9 }$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Multiply 2 and 9 to get 18.

$$\frac{18+7}{9}+\frac{3\times 9+8}{9}$$

Add 18 and 7 to get 25.

$$\frac{25}{9}+\frac{3\times 9+8}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{25}{9}+\frac{27+8}{9}$$

Add 27 and 8 to get 35.

$$\frac{25}{9}+\frac{35}{9}$$

Since \frac{25}{9} and \frac{35}{9} have the same denominator, add them by adding their numerators.

$$\frac{25+35}{9}$$

Add 25 and 35 to get 60.

$$\frac{60}{9}$$

Reduce the fraction \frac{60}{9} to lowest terms by extracting and canceling out 3.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$