YOU SAID:

I was cheese to eat to wear a hat

INTO JAPANESE

私は帽子をかぶるために食べるチーズでした

BACK INTO ENGLISH

I was eating cheese to wear a hat

INTO JAPANESE

私はチーズを食べて帽子をかぶっていた

BACK INTO ENGLISH

I was eating cheese and wearing a hat

INTO JAPANESE

私はチーズを食べて帽子をかぶっていた

BACK INTO ENGLISH

I was eating cheese and wearing a hat