Solve 7/9+4/18+5/9

$$\frac { 7 } { 9 } + \frac { 4 } { 18 } + \frac { 5 } { 9 }$$

Evaluate

$$\frac{14}{9}\approx 1.555555556$$

Solution Steps

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{7}{9}+\frac{2}{9}+\frac{5}{9}$$

Since \frac{7}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{9}+\frac{5}{9}$$

Add 7 and 2 to get 9.

$$\frac{9}{9}+\frac{5}{9}$$

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

$$\frac{9+5}{9}$$

Add 9 and 5 to get 14.

$$\frac{14}{9}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {2}} = 1\frac{5}{9} = 1.5555555555555556$$