Julian is 30 years older than his daughter. 4 years from now, his daughter will be ¹₂ of his age while his niece will be ²₅ of his daughter. Express his niece’s present age as a fraction of Julian's present age. Leave your answer in its simplest form.

	Julian	Julian's daughter	Julian's niece	Difference between Julian and Julian's daughter
Before	10 u - 4	5 u - 4	2 u - 4	30
Change	+ 4	+ 4	+ 4
After	2x5	1x5
		5x1	2x1
Comparing Julian, his daughter and his niece in the end	10 u	5 u	2 u	5 u

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

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

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

5 u = 30

1 u = 30 ÷ 5 = 6

His niece's present age 
= 2 u - 4
= 2 x 6 - 4
= 12 - 4
= 8

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

His niece's present age as a fraction of Julian's present age
= ⁸₅₆
= ¹₇

Answer(s): ¹₇