Mole fraction of solvent in aqueous solution of NaOH having molality of 3 is what?

mole fraction of solvent in aqueous solution of NaOH having molality of 3 is what?

3 molal means 3 moles of solute present in 1000 g of water.
Number of moles of NaOH = 3.
Number of moles of water =image
=image
= 55.55 moles.
Mole fraction of solvent =image = 0.95