... less than the original fraction.
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That is true.
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.
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.
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.