The Fibonacci numbers are defined by $F_1=1,F_2=1$, and $F_n=F_{n-1}+F_{n-2}$ for $n\ge 3$. The Lucas numbers are defined by $L_n=F_{n-1}+F_{n+1}$ for $n\ge 1$. What is

$\frac{F_2}{F_1}+\frac{F_4}{F_2}+\frac{F_6}{F_3}+\dots +\frac{F_{24}}{F_{12}}$?