Respuesta :
Answer:
[tex]\frac{25}{33}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.7575..... (1) ← multiply both sides by 100
100x = 75.7575... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 75 ( divide both sides by 99 )
x = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex] ← in simplest form
