Solve 8/3+22+9/2

$$\frac{ 8 }{ 3 } +22+ \frac{ 9 }{ 2 }$$

Evaluate

$$\frac{175}{6}\approx 29.166666667$$

Solution Steps

Convert 22 to fraction \frac{66}{3}.

$$\frac{8}{3}+\frac{66}{3}+\frac{9}{2}$$

Since \frac{8}{3} and \frac{66}{3} have the same denominator, add them by adding their numerators.

$$\frac{8+66}{3}+\frac{9}{2}$$

Add 8 and 66 to get 74.

$$\frac{74}{3}+\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{74}{3} and \frac{9}{2} to fractions with denominator 6.

$$\frac{148}{6}+\frac{27}{6}$$

Since \frac{148}{6} and \frac{27}{6} have the same denominator, add them by adding their numerators.

$$\frac{148+27}{6}$$

Add 148 and 27 to get 175.

$$\frac{175}{6}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 \cdot 3} = 29\frac{1}{6} = 29.166666666666668$$