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Why in improper fraction the numerator is greater than denominator?
That is why it is called an improper fraction because a proper or a common fraction always has its numerator less than its denominator.
Why is an improper fraction greater than a proper fraction?
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.
Why is reciprocal of a fraction less than 1 is always greater than 1?
Proper fractions are less than one.. Their numerators re less than their denominators. Their reciprocals have numerators greater than their denominators, making them improper. Improper fractions are greater than 1.
The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?
The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
Is a mixed fraction bigger than a regular fraction?
Yes it is. A regular fraction is a fraction where the numerator is smaller than the denominator, thus the value of the fraction will always be less than one. Note that a fraction with it's numerator bigger than the denominator does not count as a regular fraction; it is called a improper fraction. Whereas a mixed fraction is a regular fraction with a whole number at the left that is at least one. Thus, the value of a mixed fraction will always be more than one.
