Oliver is 30 years older than his daughter. 9 years from now, his daughter will be ¹₂ of his age while his nephew will be ³₅ of his daughter. Express his nephew’s present age as a fraction of Oliver's present age. Leave your answer in its simplest form.

	Oliver	Oliver's daughter	Oliver's nephew	Difference between Oliver and Oliver's daughter
Before	10 u - 9	5 u - 9	3 u - 9	30
Change	+ 9	+ 9	+ 9
After	2x5	1x5
		5x1	3x1
Comparing Oliver, his daughter and his nephew in the end	10 u	5 u	3 u	5 u

The repeated identity is the age of Oliver's daughter. LCM of 1 and 5 is 5.

The difference in age between Oliver and Oliver's daughter remains unchanged.

Difference in age between Oliver and Oliver's daughter
= 10 u - 5 u 
= 5 u 

5 u = 30

1 u = 30 ÷ 5 = 6

His nephew's present age 
= 3 u - 9
= 3 x 6 - 9
= 18 - 9
= 9

Oliver's present age
= 10 u - 9
= 10 x 6 - 9
= 60 - 9
= 51

His nephew's present age as a fraction of Oliver's present age
= ⁹₅₁
= ³₁₇

Answer(s): ³₁₇