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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.

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8y ago
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8y ago

The assertion is not true. For example, the fraction -1/2 is less than 1 but its reciprocal, -2, is not greater than 1. It is only true for POSITIVE fractions which are less than 1.


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Q: Why is the reciprocal of a fraction less than one always a fraction greater than one?
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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.


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.


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.


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.


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.


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)


What fraction is less than one third?

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


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

Yes