Solve 10/14+7/2

$$10 / 14 + 7 / 2$$

Evaluate

$$\frac{59}{14}\approx 4.214285714$$

Solution Steps

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

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

Least common multiple of 7 and 2 is 14. Convert \frac{5}{7} and \frac{7}{2} to fractions with denominator 14.

$$\frac{10}{14}+\frac{49}{14}$$

Since \frac{10}{14} and \frac{49}{14} have the same denominator, add them by adding their numerators.

$$\frac{10+49}{14}$$

Add 10 and 49 to get 59.

$$\frac{59}{14}$$

Factor

$$\frac{59}{2 \cdot 7} = 4\frac{3}{14} = 4.214285714285714$$