improper fraction

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improper fraction

a fraction in which the numerator has a greater absolute value or degree than the denominator, as 7/6 or (x2 + 3)/(x + 1)

Improper Fraction

an arithmetic fraction whose numerator is greater than or equal to the denominator—for example, 5/3, 4/2, and 7/7. An improper fraction can be represented, by separating its integral part, in the form of a mixed number—that is, a number having an integral part and a fractional part, for example,

Conversely, every mixed number can be written in the form of an improper fraction, for example,

improper fraction

[im′präp·ər ′frak·shən]
(mathematics)
In arithmetic, the quotient of two integers in which the numerator is greater than or equal to the denominator.
In algebra, the quotient of two polynomials in which the degree of the numerator is greater than or equal to that of the denominator.
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References in classic literature ?
When the concurrence of a large number is required by the Constitution to the doing of any national act, we are apt to rest satisfied that all is safe, because nothing improper will be likely TO BE DONE, but we forget how much good may be prevented, and how much ill may be produced, by the power of hindering the doing what may be necessary, and of keeping affairs in the same unfavorable posture in which they may happen to stand at particular periods.
Not a single Indian war has yet been occasioned by aggressions of the present federal government, feeble as it is; but there are several instances of Indian hostilities having been provoked by the improper conduct of individual States, who, either unable or unwilling to restrain or punish offenses, have given occasion to the slaughter of many innocent inhabitants.
But it may not be improper to take notice of an argument against this part of the Constitution, which has been drawn from the policy and practice of Great Britain.
It all began with my hearing a strange rumour from Thedora--namely, that an unworthy suitor had been to visit you, and had insulted you with an improper proposal.
One is apt, I believe, to connect assurance of manner with coquetry, and to expect that an impudent address will naturally attend an impudent mind; at least I was myself prepared for an improper degree of confidence in Lady Susan; but her countenance is absolutely sweet, and her voice and manner winningly mild.
I would not, upon any account in the world, do so improper a thing.
Philip remembered that Clutton had spent some months in Toledo, and the journalist's answer made him look at him with more interest; but he felt it would be improper to show this: it was necessary to preserve the distance between the hospital patient and the staff.
It's a most improper note, I call it; most improper for such an intelligent, well-brought-up girl to write.
It seemed to Daniel irksome and improper to be in a room at all, but to have anything to do with a young lady seemed to him impossible.
B is to inform the committee that he was mistaken in thinking you used improper language to him, so you will doubtless be restored to the dining-room to- morrow.
I call it highly improper, and no daughter of mine shall wear it.
No," said the Dog; "if I were to accept that, it might be thought that in biting you I was actuated by improper motives.

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