Solve 1/9-2/9+5/9=4/9

$$\frac { 1 } { 9 } - \frac { 2 } { 9 } + \frac { 5 } { 9 } = \frac { 4 } { 9 }$$

Verify

Solution Steps

Since \frac{1}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-2}{9}+\frac{5}{9}=\frac{4}{9}$$

Subtract 2 from 1 to get -1.

$$-\frac{1}{9}+\frac{5}{9}=\frac{4}{9}$$

Since -\frac{1}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.

$$\frac{-1+5}{9}=\frac{4}{9}$$

Add -1 and 5 to get 4.

$$\frac{4}{9}=\frac{4}{9}$$

Compare \frac{4}{9} and \frac{4}{9}.

$$\text{true}$$