Solve 1/5+1/3/2

$$\frac { \frac { 1 } { 5 } + \frac { 1 } { 3 } } { 2 }$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{\frac{3}{15}+\frac{5}{15}}{2}$$

Since \frac{3}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+5}{15}}{2}$$

Add 3 and 5 to get 8.

$$\frac{\frac{8}{15}}{2}$$

Express \frac{\frac{8}{15}}{2} as a single fraction.

$$\frac{8}{15\times 2}$$

Multiply 15 and 2 to get 30.

$$\frac{8}{30}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$