Answer:
[tex]\frac{126}{99}[/tex]
Step-by-step explanation:
assuming 1.2727... has 27 repeating then
create 2 equations with the repeated digits after the decimal point
let x = 1.2727.... → (1)
multiply both sides by 100
100x = 127.2727... → (2)
subtract (1) from (2) to eliminate the repeating part
99x = 126 ( divide both sides by 99 )
x = [tex]\frac{126}{99}[/tex]
