Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

[Q]: Tagalog sentence: Aking mga nakaraang relasyon natapos sa isang mahirap na paraan para sa akin, bilang siya ginulangan at dumped sa akin.
[A]: My previous relationship ended in a difficult way for me, as she cheated and dumped me. I must admit I had my share of fault and bad behavior.

[Q]: Tagalog sentence: Pagkatapos nagtatrabaho bilang isang assistant sa University of Pisa, Betti ibabalik sa kanyang sariling bayan ng Pistoia kung saan siya ay naging isang guro ng matematika at isang sekundaryong paaralan sa bayan sa 1849.
[A]: After working as an assistant at the University of Pisa, Betti returned to his home town of Pistoia where he became a teacher of mathematics at a secondary school in the town in 1849.

[Q]: Tagalog sentence: Ang ratio maaaring maisulat sa form saan at ay relatibong kalakasan positive integers.
[A]:
The ratio can be written in the form where and are relatively prime positive integers.