Gabriel is 30 years older than his child. 4 years from now, his child will be ¹₂ of his age while his nephew will be ³₅ of his child. Express his nephew’s present age as a fraction of Gabriel's present age. Leave your answer in its simplest form.

	Gabriel	Gabriel's child	Gabriel's nephew	Difference between Gabriel and Gabriel's child
Before	10 u - 4	5 u - 4	3 u - 4	30
Change	+ 4	+ 4	+ 4
After	2x5	1x5
		5x1	3x1
Comparing Gabriel, his child and his nephew in the end	10 u	5 u	3 u	5 u

The repeated identity is the age of Gabriel's child. LCM of 1 and 5 is 5.

The difference in age between Gabriel and Gabriel's child remains unchanged.

Difference in age between Gabriel and Gabriel's child
= 10 u - 5 u 
= 5 u 

5 u = 30

1 u = 30 ÷ 5 = 6

His nephew's present age 
= 3 u - 4
= 3 x 6 - 4
= 18 - 4
= 14

Gabriel's present age
= 10 u - 4
= 10 x 6 - 4
= 60 - 4
= 56

His nephew's present age as a fraction of Gabriel's present age
= ¹⁴₅₆
= ¹₄

Answer(s): ¹₄