Biogas has a composition of$52\%$ g CH$4/$g biogas and $48\%$ g CO$2/$g biogas $($by mass$).$ The molecular weight of methane is $16\mathrm{.}0$ g CH$4/$mol CH$4$ and the molecular weight of carbon dioxide is $44\mathrm{.}0$ g CO$2/$mol CO$2.$ What is the mole fraction of methane in biogas if The MW of biogas is $23\mathrm{.}04$ g biogas$/$mol biogas.? Answer to two signficant figures.