a. I went to my father's mother's house.

b. I went to my
father mother's house.
In a., above, there are two possessive phrases:
1.
father's mother <his monther>
2.
mother's house <her house>
In joining the two phrases together, you need to omit the redundant word (note that,
mother occurs twice, so one of those nouns is omit) and we get,
father's mother's house