Solve 2/4+7/5+2/6=

$$\frac { 2 } { 4 } + \frac { 7 } { 5 } + \frac { 2 } { 6 } =$$

Evaluate

$$\frac{67}{30}\approx 2.233333333$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+\frac{7}{5}+\frac{2}{6}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{7}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{14}{10}+\frac{2}{6}$$

Since \frac{5}{10} and \frac{14}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+14}{10}+\frac{2}{6}$$

Add 5 and 14 to get 19.

$$\frac{19}{10}+\frac{2}{6}$$

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

$$\frac{19}{10}+\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{19}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{57}{30}+\frac{10}{30}$$

Since \frac{57}{30} and \frac{10}{30} have the same denominator, add them by adding their numerators.

$$\frac{57+10}{30}$$

Add 57 and 10 to get 67.

$$\frac{67}{30}$$

Factor

$$\frac{67}{2 \cdot 3 \cdot 5} = 2\frac{7}{30} = 2.2333333333333334$$