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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.

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Q: Why is the reciprocal of a mixed number always less than the number 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.


Is the reciprocal of a non zero number less than 1?

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 ? ? ?


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Is the product of a mixed number between 4 and 5 and a fraction between 0 and 1 always less than 4?

No. The product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 5, but is not always less than 4.


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Is this question true or false a proper fraction never has the same value as a mixed number?

TRUE. A proper fraction is always less than 1 and a mixed number is always greater than 1


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Is the reciprocal of an integer always less than the integer?

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