jmc

We see that $\frac{44}{11}$ is $4$; $\frac{110}{44}$ simplifies to $\frac{5}{2}$, which is $2.5$; and $\frac{44}{1100}$ simplifies to $\frac{1}{25}$, which is $0.04$; $4+2.5+0.04$ reveals $$\frac{44}{11}+\frac{110}{44}+\frac{44}{1100}$$ is $\boxed{6.54}$.