Andy is 20 years older than his daughter. 4 years from now, his daughter will be ¹₃ of his age while his niece will be ³₅ of his daughter. Express his niece’s present age as a fraction of Andy's present age. Leave your answer in its simplest form.

	Andy	Andy's daughter	Andy's niece	Difference between Andy and Andy's daughter
Before	15 u - 4	5 u - 4	3 u - 4	20
Change	+ 4	+ 4	+ 4
After	3x5	1x5
		5x1	3x1
Comparing Andy, his daughter and his niece in the end	15 u	5 u	3 u	10 u

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

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

Difference in age between Andy and Andy's daughter
= 15 u - 5 u 
= 10 u 

10 u = 20

1 u = 20 ÷ 10 = 2

His niece's present age 
= 3 u - 4
= 3 x 2 - 4
= 6 - 4
= 2

Andy's present age
= 15 u - 4
= 15 x 2 - 4
= 30 - 4
= 26

His niece's present age as a fraction of Andy's present age
= ²₂₆
= ¹₁₃

Answer(s): ¹₁₃