Solve 2/4-6/9+2/4

$$\frac { 2 } { 4 } - \frac { 6 } { 9 } + \frac { 2 } { 4 }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

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

$$\frac{1}{2}-\frac{6}{9}+\frac{2}{4}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}-\frac{2}{3}+\frac{2}{4}$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{4}{6}+\frac{2}{4}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{6}+\frac{2}{4}$$

Subtract 4 from 3 to get -1.

$$-\frac{1}{6}+\frac{2}{4}$$

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

$$-\frac{1}{6}+\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert -\frac{1}{6} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{1}{6}+\frac{3}{6}$$

Since -\frac{1}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-1+3}{6}$$

Add -1 and 3 to get 2.

$$\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$