Solve 5/3+3/2+1/6

$$\frac{ 5 }{ 3 } + \frac{ 3 }{ 2 } + \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{5}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{10}{6}+\frac{9}{6}+\frac{1}{6}$$

Since \frac{10}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{10+9}{6}+\frac{1}{6}$$

Add 10 and 9 to get 19.

$$\frac{19}{6}+\frac{1}{6}$$

Since \frac{19}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{19+1}{6}$$

Add 19 and 1 to get 20.

$$\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$