Solve 13/2+32/5=

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

Evaluate

$$\frac{59}{10}=5.9$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 3 to get 5.

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

Multiply 3 and 5 to get 15.

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

Add 15 and 2 to get 17.

$$\frac{5}{2}+\frac{17}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{5}{2} and \frac{17}{5} to fractions with denominator 10.

$$\frac{25}{10}+\frac{34}{10}$$

Since \frac{25}{10} and \frac{34}{10} have the same denominator, add them by adding their numerators.

$$\frac{25+34}{10}$$

Add 25 and 34 to get 59.

$$\frac{59}{10}$$

Factor

$$\frac{59}{2 \cdot 5} = 5\frac{9}{10} = 5.9$$