Solve 2/3+2/7+1/2

$$\frac { 2 } { 3 } + \frac { 2 } { 7 } + \frac { 1 } { 2 }$$

Evaluate

$$\frac{61}{42}\approx 1.452380952$$

Solution Steps

Least common multiple of 3 and 7 is 21. Convert \frac{2}{3} and \frac{2}{7} to fractions with denominator 21.

$$\frac{14}{21}+\frac{6}{21}+\frac{1}{2}$$

Since \frac{14}{21} and \frac{6}{21} have the same denominator, add them by adding their numerators.

$$\frac{14+6}{21}+\frac{1}{2}$$

Add 14 and 6 to get 20.

$$\frac{20}{21}+\frac{1}{2}$$

Least common multiple of 21 and 2 is 42. Convert \frac{20}{21} and \frac{1}{2} to fractions with denominator 42.

$$\frac{40}{42}+\frac{21}{42}$$

Since \frac{40}{42} and \frac{21}{42} have the same denominator, add them by adding their numerators.

$$\frac{40+21}{42}$$

Add 40 and 21 to get 61.

$$\frac{61}{42}$$

Factor

$$\frac{61}{2 \cdot 3 \cdot 7} = 1\frac{19}{42} = 1.4523809523809523$$