Solve 3/7+3/2+5/7

$$\frac{ 3 }{ 7 } + \frac{ 3 }{ 2 } + \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{37}{14}\approx 2.642857143$$

Solution Steps

Least common multiple of 7 and 2 is 14. Convert \frac{3}{7} and \frac{3}{2} to fractions with denominator 14.

$$\frac{6}{14}+\frac{21}{14}+\frac{5}{7}$$

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

$$\frac{6+21}{14}+\frac{5}{7}$$

Add 6 and 21 to get 27.

$$\frac{27}{14}+\frac{5}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{27}{14} and \frac{5}{7} to fractions with denominator 14.

$$\frac{27}{14}+\frac{10}{14}$$

Since \frac{27}{14} and \frac{10}{14} have the same denominator, add them by adding their numerators.

$$\frac{27+10}{14}$$

Add 27 and 10 to get 37.

$$\frac{37}{14}$$

Factor

$$\frac{37}{2 \cdot 7} = 2\frac{9}{14} = 2.642857142857143$$