A proper fraction, ie: the numerator is smaller than the denominator so it is less than one.
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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.
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.
When you divide a number by a fraction between zero and one, the quotient will be greater than that number.
A fraction with a numerator that is smaller than its denominator is less than one.
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