If it is the same digit then technically the answer is yes. However, many people write 1.33 when they really mean 1.33 ... - the repeating decimal.
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Yes, a rational number can be a repeating decimal. A repeating decimal is a decimal in which one or more digits repeat infinitely. For example, 1/3 is a rational number that can be written as the repeating decimal 0.333...
It is a repeating decimal.
a repeating or recurring decimal
If you repeat the pattern, adding one more zero every time, then no. To qualify as a "repeating decimal", the same digits have to repeat over and over.
The decimal for the fraction 7 over 9 is 0.7777…. This is a repeating decimal, which can be more cleanly expressed using a line (called a vinculum) over the repeating part, like this: 0.77 with a vinculum over the repeating portion of the number.