YOU SAID:

The cat played in the hat.

INTO JAPANESE

猫は帽子をかぶって遊んだ。

BACK INTO ENGLISH

The cat played with a hat on.

INTO JAPANESE

猫は帽子をかぶって遊んでいました。

BACK INTO ENGLISH

The cat was playing with a hat on.

INTO JAPANESE

猫は帽子をかぶって遊んでいました。

BACK INTO ENGLISH

The cat was playing with a hat on.