How will you convert ethane to methane?

Explanation

Ethane to methane: Ethane reacts with iodine solution to give ethyl iodide which on treatment with alcoholic KOH gives enthanol, which on oxidation forms acetic acid, which reacts with base to form methane.
`underset("Ethane")(CH_(3))-CH_(3) overset(I_(2)//HNO_(3))rarr underset("Ethyl iodide")(C_(2)H_(5)I) overset("Aq."KOH//-KI)rarr underset("Ethanol")(CH_(3)CH_(2)OH) overset([O]//K_(2)Cr_(2)O_(7)+ H_(2)SO_(4))rarr underset("Acetic acid")(CH_(3)COOH) overset(NaOH + CaO, "Heat")rarr underset("Methane")(CH_(4))`