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... less than the original fraction.

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Q: The square of a fraction less than one will always be?
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When you multiply a fraction less than one by another fraction less than one your answer is always less than either factor?

That is true.


Is 3.1 bigger than 1.3?

(3 and any fraction less than 1) is always bigger than (1 and any fraction less than 1).


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.


When you multiply a fraction less than 1 by another fraction less than 1 is your answer going to be less than one?

Yes, ALWAYS. Think of it this way... If you had 1/2 a pie and you wanted just a FRACTION of it, that's less than the 1/2 you started with.


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.


Why is the product always less than one when you multiply a fraction by another proper fraction?

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Why is the square root of a fraction greater than the given fraction?

You mean a proper fraction (less than 1). Multiply anything by less than 1 and you will make it smaller. Therefore the square root of your result is bigger than the start value. For numbers bigger than one it's the other way round.


Is 25 over 30 less than 1?

Yes it is - any proper fraction is always less than one !


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 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.


Is the square of the number always larger than the number?

Yes, if it is a whole number but not if it is a fraction


Is a fraction less than 1 have a numerator that is less than its denominator?

Yes, a fraction less than 1 will always have a numerator that is less than its denominator. This is because the value of a fraction decreases as the numerator gets smaller in relation to the denominator. For example, 1/2 is smaller than 3/2 or 4/2.