If ${\text{I}}_{\text{1}}$ is the moment of inertia of solid cylinder of radius R and length $\mathcal{l}$ about it geometrical axis. A concentric cylinder having radius $\frac{R}{2}$ and length$\frac{\mathcal{l}}{2}$  is carved off from original cylinder and ${\text{I}}_{\text{2}}$ is MOI of carved off cylinder. Find $\frac{{\text{I}}_{\text{1}}}{{\text{I}}_{\text{2}}}$.