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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.

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

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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 a positive number x, then its reciprocal is between 0 and 1/x.

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.

100% equals the number. Less than 100% is less than the number. Greater than 100% is greater than the number.

False. Apart from the fact that there is no such thing as an opposite. If, by opposite, you mean negative (additive inverse), then start with a negative number. The negative of this will be positive, and so greater. If by opposite you mean the reciprocal (multiplicative inverse), start with a positive number less than one or a negative number less than -1.

Related questions

Yes

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

Its reciprocal is either less than 0 or greater than 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 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 a positive number x, then its reciprocal is between 0 and 1/x.

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

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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.

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.

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.

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 ? ? ?