Solve 2/5+4/6

$$\frac { 2 } { 5 } + \frac { 4 } { 6 }$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 5 and 3 is 15. Convert \frac{2}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{6}{15}+\frac{10}{15}$$

Since \frac{6}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{6+10}{15}$$

Add 6 and 10 to get 16.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$