[
  "Draw a bar for the whole cake. Gave 1/6 to neighbour. 5/6 remains.",
  "Kept 2/3 of remainder: 2/3 x 5/6 = 5/9. Not kept from remainder: 5/6 - 5/9 = 5/18. Total not kept: 1/6 + 5/18 = 4/9.",
  "4/9 of the cake was not kept in the refrigerator. Answer: 4/9."
]