... less than the original fraction.
That is true.
(3 and any fraction less than 1) is always bigger than (1 and any fraction less than 1).
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.
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.
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.
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.
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 it is - any proper fraction is always less than one !
Yes, if it is a whole number but not if it is a fraction
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.
A proper fraction is defined as a fraction that is less than one.