Solve 31/2+2*14/5

$$\frac { 31 } { 2 } + 2 \cdot 1 \frac { 4 } { 5 }$$

Evaluate

$$\frac{191}{10}=19.1$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{31}{2}+2\times \frac{5+4}{5}$$

Add 5 and 4 to get 9.

$$\frac{31}{2}+2\times \frac{9}{5}$$

Express 2\times \frac{9}{5} as a single fraction.

$$\frac{31}{2}+\frac{2\times 9}{5}$$

Multiply 2 and 9 to get 18.

$$\frac{31}{2}+\frac{18}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{31}{2} and \frac{18}{5} to fractions with denominator 10.

$$\frac{155}{10}+\frac{36}{10}$$

Since \frac{155}{10} and \frac{36}{10} have the same denominator, add them by adding their numerators.

$$\frac{155+36}{10}$$

Add 155 and 36 to get 191.

$$\frac{191}{10}$$

Factor

$$\frac{191}{2 \cdot 5} = 19\frac{1}{10} = 19.1$$