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Q: Why is reciprocal of a fraction less than 1 is always greater than 1?

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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.

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.

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.

Its reciprocal is either less than 0 or 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.

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

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.

A proper fraction is one whose modulus is less than one whole an improper fraction is one whose modulus is greater than one. The reciprocal of a proper faction is an improper fraction.

That is why it is called an improper fraction because a proper or a common fraction always has its numerator less than its denominator.

Yes

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).

The reciprocal of any number greater than 3. For example 1/4, 1/5, 1/6 etc.

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