[tex]\begin{gathered} \frac{1}{3}\text{ = 0.33333333333333333333333333333} \\ \text{This is an irrational number} \\ \frac{2}{9}\text{ = 0.222222222222222222} \\ \text{This is also an irrational number} \\ \frac{3}{11}\text{ = 0.272727} \\ \text{This is a repeating decimals because the only number that is repeating are 2 and 7} \\ \frac{43}{99}\text{ = 0.434343} \\ \text{This is also a repeating decimals} \end{gathered}[/tex]
Repeating decimal occur if the number keep repeating itself in an orderly manner
Example: 0.272727
If you observe from the above decimal, 2 and 7 keep repeating itself
