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A proper fraction is defined as a fraction that is less than one.

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It is any fraction in which the denominator is positive and the numerator is less than the denominator. For example, -5/2 is a fraction that is less than 1.

Q: What is a fraction that is less than one?

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If the fraction has a greater numerator than the denominator than the fraction is greater than one If the fraction has a numerator less than the denominator than the fraction is less than one If the numerator and the denominator are the same numbers than the fraction is equal to one **The numerator is the top number; the denominator is the bottom number**

That is true.

... less than the original fraction.

One-fifth is one simple fraction that is less than one quarter.

No. A fraction can be more than one as well.

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If the numerator is less than the denominator, the fraction is less than one. For example, 5/7 is less than one. If the numerator is greater than the denominator, the fraction is greater than one. For example, 10/7 is more than one.

A proper fraction, ie: the numerator is smaller than the denominator so it is less than one.

product of a fraction less than 1 and a whole number greater than or less than the whole Number

yes

One.

This is sometimes called a "proper fraction".

You can't convert a proper fraction to an improper or mixed fraction - it just doesn't make sense. By definition, a proper fraction is one that is less than one; a mixed fraction - as well as an improper fraction - is less than or equal to one.

less than

The numerator is less than half of the denominator.

1/2 is less than one.

Yes, the slope can be a fraction; and can be less than one or negative.

When you divide a number by a fraction between zero and one, the quotient will be greater than that number.