Solve 13/10+21/2

$$1 \frac { 3 } { 10 } + 2 \frac { 1 } { 2 }$$

Evaluate

$$\frac{19}{5}=3.8$$

Solution Steps

Multiply 1 and 10 to get 10.

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

Add 10 and 3 to get 13.

$$\frac{13}{10}+\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{13}{10}+\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{13}{10}+\frac{5}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{13}{10} and \frac{5}{2} to fractions with denominator 10.

$$\frac{13}{10}+\frac{25}{10}$$

Since \frac{13}{10} and \frac{25}{10} have the same denominator, add them by adding their numerators.

$$\frac{13+25}{10}$$

Add 13 and 25 to get 38.

$$\frac{38}{10}$$

Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{5}$$

Factor

$$\frac{19}{5} = 3\frac{4}{5} = 3.8$$