Solve 52/9+31/9=

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

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Multiply 5 and 9 to get 45.

$$\frac{45+2}{9}+\frac{3\times 9+1}{9}$$

Add 45 and 2 to get 47.

$$\frac{47}{9}+\frac{3\times 9+1}{9}$$

Multiply 3 and 9 to get 27.

$$\frac{47}{9}+\frac{27+1}{9}$$

Add 27 and 1 to get 28.

$$\frac{47}{9}+\frac{28}{9}$$

Since \frac{47}{9} and \frac{28}{9} have the same denominator, add them by adding their numerators.

$$\frac{47+28}{9}$$

Add 47 and 28 to get 75.

$$\frac{75}{9}$$

Reduce the fraction \frac{75}{9} to lowest terms by extracting and canceling out 3.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$