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The rational numbers that can be expressed as a repeating decimal are those with denominators that are not powers of 2 or 5.
Out of the given options, 5/12 and 17/25 can be expressed as repeating decimals.
5/12 = 0.416666... (repeating decimal)
17/25 = 0.68 (decimal) = 0.680000... (repeating decimal)
Therefore, the rational numbers that can be expressed as repeating decimals are 5/12 and 17/25.