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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.

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Q: When is the reciprocal of a number greater than the number and when is it less than the number?
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Related questions

Is the reciprocal of a number less than one greater than one?

Yes


When is the reciprocal of a number greater than the number?

When the number is between 0 and 1, or less than -1


If a fraction is less than 1 what do you know about its reciprocal?

Its reciprocal is either less than 0 or greater than 1.


Why is the reciprocal of a mixed number always less than the number 1?

A mixed number must have an integer part (and a fractional part). Consequently, a mixed number must be greater than one. The reciprocal of a number greater than one is less than one (and conversely) since the two, when multiplied together, make 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.


If a fraction is greater than what do you know its reciprocal?

If a fraction is greater than a positive number x, then its reciprocal is between 0 and 1/x.


Is the reciprocal of an integer always less than the integer?

No. In fact, the reciprocal of 0 is not defined.


The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number Find the number?

10


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 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.


Why is the recipical of A fraction less than one is always a fraction greater than one?

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.


Is the reciprocal of a non zero number less than 1?

Reciprocal of any non - zero number [other than 1 (because reciprocal of 1 is 1)]is always less than '1' .============================The first contributor disputes the change:Sorry, Anu. What about the non-zero number 0.5, whose reciprocal is 2 ? ? ?