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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.

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โˆ™ 2016-02-06 01:03:00
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โˆ™ 2015-03-02 12:37:44

The statement is not true.

-1/2 is a fraction that is less than 1.

Its reciprocal is -2.

However, -2 is NOT greater than 1.

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

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.


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.


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 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 an integer always less than the integer?

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


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 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.


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

Yes


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).


What fraction is less than one third?

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


When you divide a whole number by a fraction less than 1 will the quotient be greater or less than the whole number?

Generally, the quotient of a whole number divided by a fraction will be greater than that whole number, because division is simply multiplying the dividend by the reciprocal of the divisor. For instance: 2 / (1/2) = 2 * (2/1)

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