Solve 1/4-1/6+2/3=

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

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{3}{12}-\frac{2}{12}+\frac{2}{3}$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{12}+\frac{2}{3}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{1}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{1}{12}+\frac{8}{12}$$

Since \frac{1}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{1+8}{12}$$

Add 1 and 8 to get 9.

$$\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$