Solve 5/9*1/3+5/9*2/3

$$\frac { 5 } { 9 } \times \frac { 1 } { 3 } + \frac { 5 } { 9 } \times \frac { 2 } { 3 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Multiply \frac{5}{9} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{9\times 3}+\frac{5}{9}\times \frac{2}{3}$$

Do the multiplications in the fraction \frac{5\times 1}{9\times 3}.

$$\frac{5}{27}+\frac{5}{9}\times \frac{2}{3}$$

Multiply \frac{5}{9} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{27}+\frac{5\times 2}{9\times 3}$$

Do the multiplications in the fraction \frac{5\times 2}{9\times 3}.

$$\frac{5}{27}+\frac{10}{27}$$

Since \frac{5}{27} and \frac{10}{27} have the same denominator, add them by adding their numerators.

$$\frac{5+10}{27}$$

Add 5 and 10 to get 15.

$$\frac{15}{27}$$

Reduce the fraction \frac{15}{27} to lowest terms by extracting and canceling out 3.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$