Answer:
[tex]\frac{131}{90}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 5 placed after the decimal point.
let x = 1.4555... ( multiply both sides by 10 and 100 )
10x = 14.55... → (1)
100x = 145.55... → (2)
Subtract (1) from (2) , eliminating the repeating 5
90x = 131 ( divide both sides by 90 )
x = [tex]\frac{131}{90}[/tex]
