Answer:
[tex]\frac{5}{9}[/tex]
Step-by-step explanation:
The bar over the 5 means that 5 is recurring, that is
O.5555....
We require 2 equations with the repeating value after the decimal point
let x = 0.5555... → (1) ( multiply both sides by 10 )
10x = 5.555... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal, that is
9x = 5 ( divide both sides by 9 )
x = [tex]\frac{5}{9}[/tex] ← rational number
