A uniform solid cylinder with radius R and length $\mathrm{L}$ has moment of inertia ${\mathrm{I}}_1$ , about the axis of the cylinder . A concentric solid cylinder of radius ${\mathrm{R}}^{\mathrm{\prime }}=\frac{\mathrm{R}}{2}$ and length ${\mathrm{L}}^{\mathrm{\prime }}=\frac{\mathrm{L}}{2}$ is carved out of the original cylinder. If ${\mathrm{I}}_2$ is the moment of inertia of the carved out portion of the cylinder then $\frac{{\mathrm{I}}_1}{{\mathrm{I}}_2}$ = _________
(Both ${\mathrm{I}}_1$ and ${\mathrm{I}}_2$ are about the axis of the cylinder)