Solve 5/3+3/2+3

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

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

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

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

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

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

Add 10 and 9 to get 19.

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

Convert 3 to fraction \frac{18}{6}.

$$\frac{19}{6}+\frac{18}{6}$$

Since \frac{19}{6} and \frac{18}{6} have the same denominator, add them by adding their numerators.

$$\frac{19+18}{6}$$

Add 19 and 18 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$