Solve 22/10+12/14

$$\frac{ 22 }{ 10 } + \frac{ 12 }{ 14 }$$

Evaluate

$$\frac{107}{35}\approx 3.057142857$$

Solution Steps

Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}+\frac{12}{14}$$

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}+\frac{6}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{11}{5} and \frac{6}{7} to fractions with denominator 35.

$$\frac{77}{35}+\frac{30}{35}$$

Since \frac{77}{35} and \frac{30}{35} have the same denominator, add them by adding their numerators.

$$\frac{77+30}{35}$$

Add 77 and 30 to get 107.

$$\frac{107}{35}$$

Factor

$$\frac{107}{5 \cdot 7} = 3\frac{2}{35} = 3.057142857142857$$