Zeph is 32 years older than his daughter. 8 years from now, his daughter will be ¹₂ of his age while his niece will be ³₈ of his daughter. Express his niece’s present age as a fraction of Zeph's present age. Leave your answer in its simplest form.

	Zeph	Zeph's daughter	Zeph's niece	Difference between Zeph and Zeph's daughter
Before	16 u - 8	8 u - 8	3 u - 8	32
Change	+ 8	+ 8	+ 8
After	2x8	1x8
		8x1	3x1
Comparing Zeph, his daughter and his niece in the end	16 u	8 u	3 u	8 u

The repeated identity is the age of Zeph's daughter. LCM of 1 and 8 is 8.

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

Difference in age between Zeph and Zeph's daughter
= 16 u - 8 u 
= 8 u 

8 u = 32

1 u = 32 ÷ 8 = 4

His niece's present age 
= 3 u - 8
= 3 x 4 - 8
= 12 - 8
= 4

Zeph's present age
= 16 u - 8
= 16 x 4 - 8
= 64 - 8
= 56

His niece's present age as a fraction of Zeph's present age
= ⁴₅₆
= ¹₁₄

Answer(s): ¹₁₄