Dividing goats

[jasen]

A father left 45 goats to his three sons. He promised 1/2 of the goats to the oldest son, 1/4 to the middle son, and 1/6 to the youngest son. But the sons could not divide 45 evenly. Then they call their uncle, after thinking a while the uncle come with a solution, and as thanks they give the uncle 1 goat, what is the uncle solution ?

[DejMar]

Spoiler

The uncle brought over 3 additional goats from his own herd. The division of the father's herd was then divided.
1/2 of 48 = 24 goats for the oldest son. 1/4 of 48 = 12 goats for the middle son, 1/6 of 48 = 8 goats to the youngest son, leaving 4 goats. The uncle then took his 3 goats and the gift goat as gratuity for the solution back to his own herd.

 

[Thalia]

Spoiler

Following DejMar's solution, the uncle would bring over 28 goats. After dividing, there's 1 goat left. They owe this uncle big time for all the goats he has to move. . . 

 

[jasen]

Similar, but a bit harder puzzle :

A father left 102 goats to his three sons. He promised 1/2 of the goats to the oldest son, 1/5 to the middle son, and 1/13 to the youngest son (maybe step son, just get a bit heritage  ). But the sons could not divide 102 evenly. Then they call their uncle, after thinking a while the uncle come with a solution, and as thanks they give the uncle 1 goat, what is the uncle solution ?