Solve 5/7+3/14+5/7=

$$\frac { 5 } { 7 } + \frac { 3 } { 14 } + \frac { 5 } { 7 } =$$

Evaluate

$$\frac{23}{14}\approx 1.642857143$$

Solution Steps

Least common multiple of 7 and 14 is 14. Convert \frac{5}{7} and \frac{3}{14} to fractions with denominator 14.

$$\frac{10}{14}+\frac{3}{14}+\frac{5}{7}$$

Since \frac{10}{14} and \frac{3}{14} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{14}+\frac{5}{7}$$

Add 10 and 3 to get 13.

$$\frac{13}{14}+\frac{5}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{13}{14} and \frac{5}{7} to fractions with denominator 14.

$$\frac{13}{14}+\frac{10}{14}$$

Since \frac{13}{14} and \frac{10}{14} have the same denominator, add them by adding their numerators.

$$\frac{13+10}{14}$$

Add 13 and 10 to get 23.

$$\frac{23}{14}$$

Factor

$$\frac{23}{2 \cdot 7} = 1\frac{9}{14} = 1.6428571428571428$$