The absolute value of a real number $a$ is $a$ when $a\geq 0$, or $-a$ when $a<0$. The absolute value of $5.125$ is $5.125$.
$$\frac{8}{13}\times 5.125$$
Convert decimal number $5.125$ to fraction $\frac{5125}{1000}$. Reduce the fraction $\frac{5125}{1000}$ to lowest terms by extracting and canceling out $125$.
$$\frac{8}{13}\times \frac{41}{8}$$
Multiply $\frac{8}{13}$ times $\frac{41}{8}$ by multiplying numerator times numerator and denominator times denominator.