Answer:
[tex]\frac{7}{3}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating decimal after the decimal points.
let x = 2.3333... → (1) ← multiply both sides by 10
10x = 23.333..... → (2)
Subtract (1) from (2), thus eliminating the repeating decimal
9x = 21 ( divide both sides by 9 )
x = [tex]\frac{21}{9}[/tex] = [tex]\frac{7}{3}[/tex]