Answer:
[tex]\frac{43}{9}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 7 placed after the decimal point.
let x = 4.7777... → (1)
Multiply both sides by 10
10x = 47.7777.... → (2)
Subtract (1) from (2) thus eliminating the repeating 7
9x = 43 ( divide both sides by 9 )
x = [tex]\frac{43}{9}[/tex]
