Solve 4/10+6/14

$$\frac { 4 } { 10 } + \frac { 6 } { 14 }$$

Evaluate

$$\frac{29}{35}\approx 0.828571429$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}+\frac{6}{14}$$

Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 7 is 35. Convert \frac{2}{5} and \frac{3}{7} to fractions with denominator 35.

$$\frac{14}{35}+\frac{15}{35}$$

Since \frac{14}{35} and \frac{15}{35} have the same denominator, add them by adding their numerators.

$$\frac{14+15}{35}$$

Add 14 and 15 to get 29.

$$\frac{29}{35}$$

Factor

$$\frac{29}{5 \cdot 7} = 0.8285714285714286$$