Solve 34/9+52/9

$$3 \frac { 4 } { 9 } + 5 \frac { 2 } { 9 }$$

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+4}{9}+\frac{5\times 9+2}{9}$$

Add 27 and 4 to get 31.

$$\frac{31}{9}+\frac{5\times 9+2}{9}$$

Multiply 5 and 9 to get 45.

$$\frac{31}{9}+\frac{45+2}{9}$$

Add 45 and 2 to get 47.

$$\frac{31}{9}+\frac{47}{9}$$

Since \frac{31}{9} and \frac{47}{9} have the same denominator, add them by adding their numerators.

$$\frac{31+47}{9}$$

Add 31 and 47 to get 78.

$$\frac{78}{9}$$

Reduce the fraction \frac{78}{9} to lowest terms by extracting and canceling out 3.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$