Respuesta :

Answer:

[tex]\frac{95}{99}[/tex]

Step-by-step explanation:

The bar above 95 denotes that 95 is repeated, that is

0.959595,,,,

Create 2 equations with the repeating values after the decimal point, thus

let x = 0.9595.... → (1) ← multiply both sides by 100

100x = 95.9595.... → (2)

Subtract (1) from (2) eliminating the repeated value, so

99x = 95 ( divide both sides by 99 )

x = [tex]\frac{95}{99}[/tex]