David is 32 years older than his niece. 4 years from now, his niece will be ¹₃ of his age while his daughter will be ¹₂ of his niece. Express his daughter’s present age as a fraction of David's present age. Leave your answer in its simplest form.

	David	David's niece	David's daughter	Difference between David and David's niece
Before	6 u - 4	2 u - 4	1 u - 4	32
Change	+ 4	+ 4	+ 4
After	3x2	1x2
		2x1	1x1
Comparing David, his niece and his daughter in the end	6 u	2 u	1 u	4 u

The repeated identity is the age of David's niece. LCM of 1 and 2 is 2.

The difference in age between David and David's niece remains unchanged.

Difference in age between David and David's niece
= 6 u - 2 u 
= 4 u 

4 u = 32

1 u = 32 ÷ 4 = 8

His daughter's present age 
= 1 u - 4
= 1 x 8 - 4
= 8 - 4
= 4

David's present age
= 6 u - 4
= 6 x 8 - 4
= 48 - 4
= 44

His daughter's present age as a fraction of David's present age
= ⁴₄₄
= ¹₁₁

Answer(s): ¹₁₁