Solve 8/5+13/8

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

Evaluate

$$\frac{129}{40}=3.225$$

Solution Steps

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

$$\frac{64}{40}+\frac{65}{40}$$

Since \frac{64}{40} and \frac{65}{40} have the same denominator, add them by adding their numerators.

$$\frac{64+65}{40}$$

Add 64 and 65 to get 129.

$$\frac{129}{40}$$

Factor

$$\frac{3 \cdot 43}{2 ^ {3} \cdot 5} = 3\frac{9}{40} = 3.225$$