Solve 3/6+3/4+2/3

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

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

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

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

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

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

Since \frac{2}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$\frac{5}{4}+\frac{2}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{15}{12}+\frac{8}{12}$$

Since \frac{15}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{12}$$

Add 15 and 8 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3} = 1\frac{11}{12} = 1.9166666666666667$$