Solve 18/11+4/11-4/9+5/9

$$\frac { 18 } { 11 } + \frac { 4 } { 11 } - \frac { 4 } { 9 } + \frac { 5 } { 9 }$$

Evaluate

$$\frac{19}{9}\approx 2.111111111$$

Solution Steps

Since \frac{18}{11} and \frac{4}{11} have the same denominator, add them by adding their numerators.

$$\frac{18+4}{11}-\frac{4}{9}+\frac{5}{9}$$

Add 18 and 4 to get 22.

$$\frac{22}{11}-\frac{4}{9}+\frac{5}{9}$$

Divide 22 by 11 to get 2.

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

Convert 2 to fraction \frac{18}{9}.

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

Since \frac{18}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 18 to get 14.

$$\frac{14}{9}+\frac{5}{9}$$

Since \frac{14}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.

$$\frac{14+5}{9}$$

Add 14 and 5 to get 19.

$$\frac{19}{9}$$

Factor

$$\frac{19}{3 ^ {2}} = 2\frac{1}{9} = 2.111111111111111$$