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A proper fraction is a fraction who's numerator is smaller than the denominator. An improper fraction is a fraction who's numerator is larger than or equal to the denominator.

1/2 is a proper fraction.

3/2 is an improper fraction.

Now to understand why the improper fraction is larger than the proper fraction, lets split them up. The proper fraction is one half of a whole, whereas the improper fraction is one whole and one half. Basically the proper is one half, and the improper is three halves.

In theory, a proper fraction is always less than the whole number under consideration. On the other hand, an improper fraction is either equal to or larger than the whole number under consideration.

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Q: Why is an improper fraction greater than a proper fraction?
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