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Answer:
[tex]\frac{133}{66}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 2.01515... ( multiply both sides by 10 and 1000 )
10x = 20.1515.... (1)
1000x = 2015.1515... (2)
subtract (1) from (2) thus eliminating the repeating digits
990x = 1995 ( divide both sides by 990 )
x = [tex]\frac{1995}{990}[/tex] = [tex]\frac{133}{66}[/tex] ← in simplest form