Answer:
[tex]\frac{52887}{9900}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 21 placed after the decimal point.
let x = 5.34212121 ( multiply both sides by 100 and 10000 )
100x = 534.2121... → (1)
10000x = 53421.2121... → (2)
Subtract (1) from (2) thus eliminating the repeating 21
9900x = 52887 ( divide both sides by 9900 )
x = [tex]\frac{52887}{9900}[/tex]