Solve 15/8+52/5

$$1 \frac { 5 } { 8 } + 5 \frac { 2 } { 5 }$$

Evaluate

$$\frac{281}{40}=7.025$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+5}{8}+\frac{5\times 5+2}{5}$$

Add 8 and 5 to get 13.

$$\frac{13}{8}+\frac{5\times 5+2}{5}$$

Multiply 5 and 5 to get 25.

$$\frac{13}{8}+\frac{25+2}{5}$$

Add 25 and 2 to get 27.

$$\frac{13}{8}+\frac{27}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{13}{8} and \frac{27}{5} to fractions with denominator 40.

$$\frac{65}{40}+\frac{216}{40}$$

Since \frac{65}{40} and \frac{216}{40} have the same denominator, add them by adding their numerators.

$$\frac{65+216}{40}$$

Add 65 and 216 to get 281.

$$\frac{281}{40}$$

Factor

$$\frac{281}{2 ^ {3} \cdot 5} = 7\frac{1}{40} = 7.025$$