Yes.
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Yes, the number 57 is a rational number, as it can be written as a fraction.
Repeating decimals are always rational.
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...
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
0.712 repeating is a rational number because it can be expressed as a fraction in the form of 712/999