Solve 2/3-5/12+1/2

$$\frac { 2 } { 3 } - \frac { 5 } { 12 } + \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Least common multiple of 3 and 12 is 12. Convert \frac{2}{3} and \frac{5}{12} to fractions with denominator 12.

$$\frac{8}{12}-\frac{5}{12}+\frac{1}{2}$$

Since \frac{8}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{12}+\frac{1}{2}$$

Subtract 5 from 8 to get 3.

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

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

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

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{1}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 to get 3.

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

Factor

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