Respuesta :

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating value placed after the decimal point.

let

x = 1.3333... → (1) ( multiply both sides by 10 )

10x = 13.3333... → (2)

Subtract (1) from (2), eliminating the repeating decimal

9x = 12 ( divide both sides by 9 )

x = [tex]\frac{12}{9}[/tex] = [tex]\frac{4}{3}[/tex]