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It is rational. -77.95 can be expressed as the ratio of two integers, so -7795/100 or -1559/20 are both equivalent fractions to -77.95

In general, any decimal which truncates after a finite number of digits (such as two digits in this case) or repeats (but with a pattern, such as 0.33333.... or 0.121212...) can be expressed as a fraction, so it's rational.

If the digits do not have a repeating pattern, then the number is irrational.

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