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Why is the recipical of A fraction less than one is always a fraction greater than one?
Mollywags11tw3860
Fractions that are less than one are known as proper fractions. Their denominators are greater than their numerators. Their reciprocals would have numerators greater than their denominators, making them improper. Improper fractions are greater than one.
Wiki User
∙ 2016-02-05 04:54:21
Wiki User
∙ 2015-03-06 13:09:50First of all, the proposition is the question is not true.
Consider the fraction A = -1/2. It is a fraction that is less than zero and so certainly less than one. However, its reciprocal is -2 which is NOT greater than 1. The statement is true only for positive fractions (bit that was not stated in the question).
A positive fraction A is less than 1 if its numerator is less than its denominator (both being positive). The numerator of the reciprocal of A will be the denominator of A and the denominator of the reciprocal of A will be the numerator of A. Thus, the reciprocal of A will have a numerator which is greater than its denominator. Consequently, the fraction will be greater than 1.
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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.
Why is the reciprocal of a fraction less than one always a fraction greater than one?
A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.
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.
When is the reciprocal of a number greater than the number and when is it less than the number?
When a number is a fraction, the reciprocal will always be greater than the original number. When the original number is a whole number, the reciprocal will be a fraction, which is less than a whole number.
What is the answer of a Fraction that is greater than one?
What is the question ? This is often referred to as an "improper" fraction. It can always be re-written as an integer (whole number) plus a proper fraction (a fraction less than one).
Is the fraction 37 greater than or less than 710?
Where is the fraction? 37 is less than 710.
How how you know whether a fraction is less than 1 or greater than 1?
If the denominator is positive and the numerator is less than the denominator then the fraction is less than 1. If the denominator is positive and the numerator is greater than the denominator then the fraction is greater than 1.
Is this question true or false a proper fraction never has the same value as a mixed number?
TRUE. A proper fraction is always less than 1 and a mixed number is always greater than 1
When a whole number greater than one is divided by a unit fraction less than one the quotient is always greater than the dividend true or false?
True.
Is a fraction with a numerator that is greater then or equal to the denominator?
the numerator always has to be less than the denominator and if its equal like 5 to 5 that is 1
The square of a fraction less than one will always be?
... less than the original fraction.
Is every fraction less than 1?
No. Every proper fraction is less than 1, but improper fraction will be greater than 1.
