Solve 6/9*3/5+3/9*2/5

$$\frac{ 6 }{ 9 } \times \frac{ 3 }{ 5 } + \frac{ 3 }{ 9 } \times \frac{ 2 }{ 5 }$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}\times \frac{3}{5}+\frac{3}{9}\times \frac{2}{5}$$

Multiply \frac{2}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{3\times 5}+\frac{3}{9}\times \frac{2}{5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{5}+\frac{3}{9}\times \frac{2}{5}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

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

Multiply \frac{1}{3} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 2}{3\times 5}.

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

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

$$\frac{6}{15}+\frac{2}{15}$$

Since \frac{6}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.

$$\frac{6+2}{15}$$

Add 6 and 2 to get 8.

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

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$