rational vs level-headed: What's the difference?

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Which is correct: rational or level-headed

How to spell rational?

rational
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level-headed
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rationaladjective

of or associated with or requiring the use of the mind

rationalnoun

an integer or a fraction

rationaladjective

capable of being expressed as a quotient of integers

rationaladjective

consistent with or based on or using reason

rationaladjective

having its source in or being guided by the intellect (as distinguished from experience or emotion)

level-headedadjective

exercising or showing good judgment

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