Hello, I hope you are doing well

It is given in the question that a solution of ethylene glycol contains 20% of ethylene glycol by mass.

which means, in 100g of solution -  20g of ethylene glycol.

Molar mass of ethylene glycol - (12*2  + 1*6 + 16*2) = 62g/mol.

therefore, in 20g we have 20/62 = 0.32 mol.

Mole fraction of ethylene glycol = No of moles of ethylene glycol/ Total number of moles.

= 0.32/(0.32 + 4.44)

= 0.068

Hope this helps