Whole Numbers as Fractions: The Why and How

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All whole numbers can be considered fractions because they can be expressed in the form a/b, where a is the whole number and b is a non-zero integer. This classification stems from the fact that integers are a subset of rational numbers. For example, the whole number 4 can be represented as 4/1 or 8/2. The discussion also highlights the importance of defining what constitutes a "fraction" in this context. Understanding these definitions clarifies the relationship between whole numbers and fractions.
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Can we consider all whole numbers as fraction?why?
 
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Do you mean integers? If so, yes, we can.For example. 4 can be written as 4/1 or 8/2 etc...
 
charliemagne said:
Can we consider all whole numbers as fraction?why?
Yes, because integers are a sub-set of the rational. In other words all integers (whole numbers) can be written in the form a/b where a and b are integers, with b non-zero.
 
The real point being, Charliemagne- what is your definition of "fraction"?
 

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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