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Based on reason and logic; sensible and objective.
Lass uns versuchen, eine rationale Lösung für das Problem zu finden, statt emotional zu reagieren.
Let's try to find a rational solution to the problem instead of reacting emotionally.
In mathematics, a number that can be represented as a fraction of two whole numbers.
Die Zahl 0,5 ist eine rationale Zahl, da sie als Bruch 1/2 geschrieben werden kann.
The number 0.5 is a rational number because it can be written as the fraction 1/2.
The adjective 'rational' is closely related to the noun 'die Ratio' (reason). Both words emphasize the use of intellect and logic instead of feelings.
Eine rationale Analyse der Daten ist für das Projekt entscheidend.
A rational analysis of the data is crucial for the project.
In general usage, 'rational' often describes thought processes or actions. Typical combinations are 'rational denken' (to think rationally), 'rational handeln' (to act rationally), or 'eine rationale Entscheidung treffen' (to make a rational decision).
Trotz der Hektik versuchte sie, eine rationale Entscheidung zu treffen.
Despite the hectic situation, she tried to make a rational decision.
The meaning as a number that can be represented as a fraction belongs exclusively to mathematical terminology. In all other contexts, 'rational' always means 'vernünftig' (reasonable/sensible).
Im Unterricht lernten wir, dass Pi keine rationale Zahl ist.
In class, we learned that pi is not a rational number.
reasonable / decent
Both vernünftig and rational can describe a considered decision. Rational emphasizes objective logic and weighing the facts; vernünftig more strongly suggests that the decision is practical and appropriate to the situation.
Nach einem sachlichen Vergleich von Preis und Verbrauch war die Wahl des gebrauchten Autos rational.
After objectively comparing the price and fuel consumption, choosing the used car was rational.
Mit ihrem kleinen Budget war es vernünftig, das zuverlässige gebrauchte Auto zu wählen.
Given her limited budget, it was reasonable to choose the reliable used car.
