Answer:
![(8)/(15)](https://img.qammunity.org/2022/formulas/mathematics/high-school/a8xac9j4q5jodmdsbggx6od9ozdnulldfx.png)
Explanation:
We require 2 equations with the repeating 3 placed after the decimal point.
let x = 0.5333.. ( multiply both sides by 10 and 100 )
10x = 5.333... → (1)
100x = 53.333... → (2)
Subtract (1) from (2) tus eliminating the repeating 3
90x = 48 ( divide both sides by 90 )
x =
=
![(8)/(15)](https://img.qammunity.org/2022/formulas/mathematics/high-school/a8xac9j4q5jodmdsbggx6od9ozdnulldfx.png)