Solve 2+2/5+1/10=

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Convert 2 to fraction \frac{10}{5}.

$$\frac{10}{5}+\frac{2}{5}+\frac{1}{10}$$

Since \frac{10}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{10+2}{5}+\frac{1}{10}$$

Add 10 and 2 to get 12.

$$\frac{12}{5}+\frac{1}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{12}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{24}{10}+\frac{1}{10}$$

Since \frac{24}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{24+1}{10}$$

Add 24 and 1 to get 25.

$$\frac{25}{10}$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$