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This number is rational: If the number is exact as given, without the final period/decimal point, it is rational because it can be written with a finite number of digits. If the number is intended to be indicated as the repeating decimal -155.23333333..., then it is rational because numbers that can be written as repeating decimals are rational; this particular one is the sum of -155.2 - (3/100), which can be written as

-15523/100.

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