Solve 1/3*3/5+3/10=

$$\frac { 1 } { 3 } \cdot \frac { 3 } { 5 } + \frac { 3 } { 10 } =$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

$$\frac{1\times 3}{3\times 5}+\frac{3}{10}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{5}+\frac{3}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{2}{10}+\frac{3}{10}$$

Since \frac{2}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{10}$$

Add 2 and 3 to get 5.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$