Solve (6/4-1/3)+2/6

$$( \frac { 6 } { 4 } - \frac { 1 } { 3 } ) + \frac { 2 } { 6 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-\frac{1}{3}+\frac{2}{6}$$

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

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

Since \frac{9}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 9 to get 7.

$$\frac{7}{6}+\frac{2}{6}$$

Since \frac{7}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{6}$$

Add 7 and 2 to get 9.

$$\frac{9}{6}$$

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

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$