Rotational Motion

A uniform solid cylinder with radius R and length L has moment of inertia I\(_1\), about the axis of the cylinder. A concentric solid cylinder of radius \(R'=\frac{R}{2}\) and length \(L'=\frac{L}{2}\) is carved out of the original cylinder. If I\(_2\) is the moment of inertia of the carved out portion of the cylinder then \(\frac{I_1}{I_2}=\) __________.

(Both I\(_1\) and I\(_2\) are about the axis of the cylinder)