Let's examine each number:
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-5/6: This is a fraction where both the numerator (-5) and the denominator (6) are integers. Since it can be expressed as a ratio of two integers, -5/6 is a rational number.
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π/2: The value of π (pi) is an irrational number; it cannot be expressed as a fraction of two integers. Therefore, π/2 is also irrational.
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7/8: Similar to -5/6, this is a fraction where both the numerator (7) and the denominator (8) are integers. Thus, it is a rational number.
In summary:
- -5/6: Rational
- π/2: Irrational
- 7/8: Rational
So, -5/6 and 7/8 are rational numbers, while π/2 is an irrational number. None of them are categorized as both rational and irrational.