Solve (2/5+2/3)/9=

$$( \frac { 2 } { 5 } + \frac { 2 } { 3 } ) / 9 =$$

Evaluate

$$\frac{16}{135}\approx 0.118518519$$

Solution Steps

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

$$\frac{\frac{6}{15}+\frac{10}{15}}{9}$$

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

$$\frac{\frac{6+10}{15}}{9}$$

Add 6 and 10 to get 16.

$$\frac{\frac{16}{15}}{9}$$

Express \frac{\frac{16}{15}}{9} as a single fraction.

$$\frac{16}{15\times 9}$$

Multiply 15 and 9 to get 135.

$$\frac{16}{135}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {3} \cdot 5} = 0.11851851851851852$$