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

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

Evaluate

$$\frac{19}{3}\approx 6.333333333$$

Solution Steps

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

$$\frac{10}{6}+\frac{9}{6}+\frac{1}{6}+3$$

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

$$\frac{10+9}{6}+\frac{1}{6}+3$$

Add 10 and 9 to get 19.

$$\frac{19}{6}+\frac{1}{6}+3$$

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

$$\frac{19+1}{6}+3$$

Add 19 and 1 to get 20.

$$\frac{20}{6}+3$$

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

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

Convert 3 to fraction \frac{9}{3}.

$$\frac{10}{3}+\frac{9}{3}$$

Since \frac{10}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{10+9}{3}$$

Add 10 and 9 to get 19.

$$\frac{19}{3}$$

Factor

$$\frac{19}{3} = 6\frac{1}{3} = 6.333333333333333$$