Solve 5/9+4/9+7/9+8/9=

$$\frac { 5 } { 9 } + \frac { 4 } { 9 } + \frac { 7 } { 9 } + \frac { 8 } { 9 } =$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Since \frac{5}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{9}+\frac{7}{9}+\frac{8}{9}$$

Add 5 and 4 to get 9.

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

Since \frac{9}{9} and \frac{7}{9} have the same denominator, add them by adding their numerators.

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

Add 9 and 7 to get 16.

$$\frac{16}{9}+\frac{8}{9}$$

Since \frac{16}{9} and \frac{8}{9} have the same denominator, add them by adding their numerators.

$$\frac{16+8}{9}$$

Add 16 and 8 to get 24.

$$\frac{24}{9}$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$