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The standard rule (smaller denominator implies larger fraction) applies strictly when the common numerator is positive. If the common numerator is zero, all such fractions are equal to zero, resulting in equality.

Conditions: Comparing fractions $\frac{n}{a}$ and $\frac{n}{b}$ with $0 < a < b$; Case 1: $n > 0$ (standard case); Case 2: $n = 0$; Case 3: $n < 0$

The standard rule (smaller denominator implies larger fraction) applies strictly when the common numerator is positive. If the common numerator is zero, all such fractions are equal to zero, resulting in equality.

Conditions: Comparing fractions $\frac{n}{a}$ and $\frac{n}{b}$ with $0 < a < b$; Case 1: $n > 0$ (standard case); Case 2: $n = 0$; Case 3: $n < 0$