Solve 85/6+75/2+62/3

$$85 / 6 + 75 / 2 + 62 / 3$$

Evaluate

$$\frac{217}{3}\approx 72.333333333$$

Solution Steps

Least common multiple of 6 and 2 is 6. Convert \frac{85}{6} and \frac{75}{2} to fractions with denominator 6.

$$\frac{85}{6}+\frac{225}{6}+\frac{62}{3}$$

Since \frac{85}{6} and \frac{225}{6} have the same denominator, add them by adding their numerators.

$$\frac{85+225}{6}+\frac{62}{3}$$

Add 85 and 225 to get 310.

$$\frac{310}{6}+\frac{62}{3}$$

Reduce the fraction \frac{310}{6} to lowest terms by extracting and canceling out 2.

$$\frac{155}{3}+\frac{62}{3}$$

Since \frac{155}{3} and \frac{62}{3} have the same denominator, add them by adding their numerators.

$$\frac{155+62}{3}$$

Add 155 and 62 to get 217.

$$\frac{217}{3}$$

Factor

$$\frac{7 \cdot 31}{3} = 72\frac{1}{3} = 72.33333333333333$$