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

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

Evaluate

$$\frac{19}{12}\approx 1.583333333$$

Solution Steps

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

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

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{3}{12}+\frac{8}{12}+\frac{2}{3}$$

Since \frac{3}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{12}+\frac{2}{3}$$

Add 3 and 8 to get 11.

$$\frac{11}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{11}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{11}{12}+\frac{8}{12}$$

Since \frac{11}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{11+8}{12}$$

Add 11 and 8 to get 19.

$$\frac{19}{12}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3} = 1\frac{7}{12} = 1.5833333333333333$$