Solve (1/3+2/5)*2/3

$$( \frac { 1 } { 3 } + \frac { 2 } { 5 } ) \cdot \frac { 2 } { 3 }$$

Evaluate

$$\frac{22}{45}\approx 0.488888889$$

Solution Steps

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

$$\left(\frac{5}{15}+\frac{6}{15}\right)\times \frac{2}{3}$$

Since \frac{5}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{15}\times \frac{2}{3}$$

Add 5 and 6 to get 11.

$$\frac{11}{15}\times \frac{2}{3}$$

Multiply \frac{11}{15} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 2}{15\times 3}$$

Do the multiplications in the fraction \frac{11\times 2}{15\times 3}.

$$\frac{22}{45}$$

Factor

$$\frac{2 \cdot 11}{3 ^ {2} \cdot 5} = 0.4888888888888889$$