what do you mean when you say that the latent heat of fusion of ice is3.34*105 j/kg.
This means that 3.34*105 J of heat energy would be required to convert 1 kg of ice into 1 kg of water at it's melting point.
1 kg of ice at 0∘C is mixed with 1 kg of steam at 100∘C. What will be the composition of the system when thermal equilibrium is reached? Latent heat of fusion of ice = 3.36 × 105 J kg−1 and latent heat of vaporization of water = 2.26 × 106 J kg−1
What do you understand by latent heat of fusion and how it is related to melting point?