Fabian is 27 years older than his nephew. 4 years from now, his nephew will be ¹₂ of his age while his daughter will be ¹₃ of his nephew. Express his daughter’s present age as a fraction of Fabian's present age. Leave your answer in its simplest form.

	Fabian	Fabian's nephew	Fabian's daughter	Difference between Fabian and Fabian's nephew
Before	6 u - 4	3 u - 4	1 u - 4	27
Change	+ 4	+ 4	+ 4
After	2x3	1x3
		3x1	1x1
Comparing Fabian, his nephew and his daughter in the end	6 u	3 u	1 u	3 u

The repeated identity is the age of Fabian's nephew. LCM of 1 and 3 is 3.

The difference in age between Fabian and Fabian's nephew remains unchanged.

Difference in age between Fabian and Fabian's nephew
= 6 u - 3 u 
= 3 u 

3 u = 27

1 u = 27 ÷ 3 = 9

His daughter's present age 
= 1 u - 4
= 1 x 9 - 4
= 9 - 4
= 5

Fabian's present age
= 6 u - 4
= 6 x 9 - 4
= 54 - 4
= 50

His daughter's present age as a fraction of Fabian's present age
= ⁵₅₀
= ¹₁₀

Answer(s): ¹₁₀