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

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

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

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

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

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

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

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

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

Add 3 and 4 to get 7.

$$\frac{7}{6}+\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{7}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{7}{6}+\frac{3}{6}$$

Since \frac{7}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{7+3}{6}$$

Add 7 and 3 to get 10.

$$\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$