Answer:
[tex]\frac{14}{15}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating 3 after the decimal point.
let x = 0.93333333333 ( multiply both sides by 10 and 100 )
10x = 9.3333333333 → (1)
100x = 93.333333333 → (2)
Subtract (1) from (2) , eliminating the repeating decimal
90x = 84 ( divide both sides by 90 )
x = [tex]\frac{84}{90}[/tex] = [tex]\frac{14}{15}[/tex]
Thus
0.933333333333 = [tex]\frac{14}{15}[/tex]
