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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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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.

It will be greater.

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Yes

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

When the number is between 0 and 1, or less 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.

10

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.

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.

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.

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

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