Since $\frac{56}{8}$ and $\frac{19}{8}$ have the same denominator, add them by adding their numerators.
$$sort(\frac{51}{10},\frac{56+19}{8},71.15)$$
Add $56$ and $19$ to get $75$.
$$sort(\frac{51}{10},\frac{75}{8},71.15)$$
Convert decimal numbers in the list $\frac{51}{10},\frac{75}{8},71.15$ to fractions.
$$\frac{51}{10},\frac{75}{8},\frac{1423}{20}$$
Least common denominator of the numbers in the list $\frac{51}{10},\frac{75}{8},\frac{1423}{20}$ is $40$. Convert numbers in the list to fractions with denominator $40$.