Solve 2/5+1/10+3/5*5/2=

$$\frac { 2 } { 5 } + \frac { 1 } { 10 } + \frac { 3 } { 5 } * \frac { 5 } { 2 } =$$

Evaluate

$$2$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{4}{10}+\frac{1}{10}+\frac{3}{5}\times \frac{5}{2}$$

Since \frac{4}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{10}+\frac{3}{5}\times \frac{5}{2}$$

Add 4 and 1 to get 5.

$$\frac{5}{10}+\frac{3}{5}\times \frac{5}{2}$$

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

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

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

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

Cancel out 5 in both numerator and denominator.

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

Since \frac{1}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 3 to get 4.

$$\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$2$$

Factor

$$2$$