His father and paternal uncle died, then his grandmother died. Does he inherit from her?
Question

                I want to find out about how to divide the estate in the proper shar’i manner in this situation:

My father and paternal uncle died when their mother was still alive.

Then she died shortly after them, and she had three daughters who are still alive; they are my paternal aunts. My father and uncle left a house in their name, with each owning half of it.

My father (may Allah have mercy on him) had two male children and my mother. My paternal uncle had two male children and two daughters and a wife. Do my paternal aunts have a share of the inheritance? Do we inherit from my grandmother? May Allah reward you with all good.
Praise be to Allah.
    Firstly: 

    Your father's estate is to be 
    divided between his two male sons, his wife and his mother, and the paternal 
    uncle does not get anything from your father's estate, and neither do his 
    (the uncle’s) sons or the paternal aunts, because they are prevented from 
    doing so by the presence of the male sons. 

    The mother gets one sixth, 
    the wife gets one eighth and the rest goes to the two male sons. 

    Your paternal uncle’s estate 
    is to be divided among his children, both male and female, and his wife and 
    his mother, and you and your paternal aunts do not get anything from the 
    estate of your paternal uncle. 

    So the mother gets one sixth, 
    the wife gets one eighth and the rest goes to the children, with each male 
    getting the share of two females. 

    Thus it is clear that your 
    grandmother has a share in the estate of your father, and a share in the 
    estate of your paternal uncle, namely one sixth from each. So her share of 
    the house is two sixths, i.e., one third. If your father or paternal uncle 
    had other wealth, apart from the house, then she takes her share of that 
    too. 

    Secondly: 

    If the grandmother has died, 
    then her estate goes to her heirs who are: her three daughters, who get two 
    thirds, and the rest goes to the daughters of her two sons and their 
    brothers, with each male getting the share of two females. 

    Based on that, then one third 
    of the grandmother's estate is to be shared between the four males and the 
    two daughters. 

    And Allah knows best.