What is the relation between molality, molarity and density is this correct, 'molality = molarity / density' I - Chemistry - Some Basic Concepts of Chemistry

Question

What is the relation between molality, molarity and density? is
this correct, 'molality = molarity / density'? I got this off the
internet

molarity = mole /
volume
density = mass / volume
molality = mole / mass

molality = molarity / density
mole / mass = (mole / vol) / (mass / vol)
mole / mass = mole / mass [proved]

Kirti Gogia · Accepted Answer

The molarity of a solution is written as
Molarity = number of moles of solute / Volume of solution (in
litres)
The molality of a solution is given by
Molality = number of moles of solute / mass of the solvent (in
Kg)
So, we see that the two are different terms While one uses the
volume of solution, the other term uses the mass of the solvent So,
when you use the relation
molality = molarity / density
you might not get the correct answer as volume of solution and
volume of solvent, are not same most of the times Consider the
expression for molality again
Molality = number of moles of solute / mass of the solvent (in
Kg)
Now let us divide and multiply the RHS of the above relation by
the volume of solvent We get
Molality = (number of moles of solute / Volume of solvent) X
[Volume of solvent / mass of the solvent (in Kg)]
= (number of moles of solute / Volume of solvent) X
(1/Density)
But for molarity, we use volume of solution and not volume of
solvent Hence the above expression might not give the correct
answer