He died and left behind a wife, a full sister and half-brothers and –sisters through his father
Question

                A man died and left behind a wife with no children, a full sister and four half-siblings through his father, three males and one female, and his parents are deceased. How should the inheritance be divided among them?.
Praise be to Allah.If the heirs of the 
    deceased are as mentioned in the question, the estate is to be divided as 
    follows: 
The wife gets one-quarter, 
    because Allaah says (interpretation of the meaning): 
“In 
    that which you leave, their (your wives) share is a fourth if you leave no 
    child”
[al-Nisa’ 4:12]
The full sister gets half, 
    because Allaah says (interpretation of the meaning): 

    “If it is a man that dies leaving a sister, but no child, she 
    shall have half the inheritance”

    [al-Nisa’ 4:176]
The rest, which is 
    one-quarter, goes to the half-siblings through the father, males and 
    females, to be shared among them with each male getting twice the share of a 
    female, because Allaah says (interpretation of the meaning): 

    “if there are brothers and sisters, the male will have twice 
    the share of the female”

    [al-Nisa’ 4:176]
And Allaah knows best.