Solve {frac{2/3}+1/5}{30}

$$\frac { { \frac { 2 } { 3 } } + \frac { 1 } { 5 } } { 30 }$$

Evaluate

$$\frac{13}{450}\approx 0.028888889$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{\frac{10}{15}+\frac{3}{15}}{30}$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{\frac{10+3}{15}}{30}$$

Add 10 and 3 to get 13.

$$\frac{\frac{13}{15}}{30}$$

Express \frac{\frac{13}{15}}{30} as a single fraction.

$$\frac{13}{15\times 30}$$

Multiply 15 and 30 to get 450.

$$\frac{13}{450}$$

Factor

$$\frac{13}{2 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.028888888888888888$$