Answer:
see explanation
Step-by-step explanation:
The dot above the 5 indicates the 5 is repeating , that is
2.7555...
We require 2 equations with the repeating 5 placed after the decimal point.
let x = 2.7555,,, ( multiply both sides by 10 and 100 )
10x = 27.55... → (1)
100x = 275.55... → (2)
Subtract (1) from (2), thus eliminating the repeating 5
90x = 248 ( divide both sides by 90 )
x = [tex]\frac{248}{90}[/tex] = [tex]\frac{124}{45}[/tex]
