Solve 14/10+10/14

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

Evaluate

$$\frac{74}{35}\approx 2.114285714$$

Solution Steps

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

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

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 7 is 35. Convert \frac{7}{5} and \frac{5}{7} to fractions with denominator 35.

$$\frac{49}{35}+\frac{25}{35}$$

Since \frac{49}{35} and \frac{25}{35} have the same denominator, add them by adding their numerators.

$$\frac{49+25}{35}$$

Add 49 and 25 to get 74.

$$\frac{74}{35}$$

Factor

$$\frac{2 \cdot 37}{5 \cdot 7} = 2\frac{4}{35} = 2.1142857142857143$$