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

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

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

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

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

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

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

$$\frac{1}{5}+\frac{2}{15}$$

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

$$\frac{3}{15}+\frac{2}{15}$$

Since \frac{3}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{15}$$

Add 3 and 2 to get 5.

$$\frac{5}{15}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$