Answer:
[tex]\frac{469}{990}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits after the decimal point.
By subtracting the 2 equations eliminates the repeating digits.
let x = 0.47373737.....
Multiply both sides by 100 and 10000, that is
100x = 47.3737... → (1)
10000x = 4737.3737.... → (2)
Subtract (1) from (2)
9900x = 4690 ( divide both sides by 9900 )
x = [tex]\frac{4690}{9900}[/tex] = [tex]\frac{460}{990}[/tex] ← in simplest form
