Solve 3+2/3+3+5/2

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

Evaluate

$$\frac{55}{6}\approx 9.166666667$$

Solution Steps

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

$$\frac{9}{3}+\frac{2}{3}+3+\frac{5}{2}$$

Since \frac{9}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{3}+3+\frac{5}{2}$$

Add 9 and 2 to get 11.

$$\frac{11}{3}+3+\frac{5}{2}$$

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

$$\frac{11}{3}+\frac{9}{3}+\frac{5}{2}$$

Since \frac{11}{3} and \frac{9}{3} have the same denominator, add them by adding their numerators.

$$\frac{11+9}{3}+\frac{5}{2}$$

Add 11 and 9 to get 20.

$$\frac{20}{3}+\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{20}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{40}{6}+\frac{15}{6}$$

Since \frac{40}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{40+15}{6}$$

Add 40 and 15 to get 55.

$$\frac{55}{6}$$

Factor

$$\frac{5 \cdot 11}{2 \cdot 3} = 9\frac{1}{6} = 9.166666666666666$$