Any number that can be written as a fraction is rational.
I am being asked this question, and I believe it is true but for some reason,I feel that there is a trick. However, the definition of rational numbers is similar to this hence why i believe this is true.
Any objections?
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$\begingroup$Well, if you take just 'a fraction' then, $x=\frac{x}1$ is a way to represent every number as a fraction. What this is getting at the fact that it matters that a rational number if 'a fraction of two integers' - and the above form only works in that definition when $x$ is an integer. This means that the condition that numerator and denominator are integers actually is a substantial restriction on the possible forms.
$\endgroup$ $\begingroup$A rational number is a number $k$ such that
$k=\frac{a}{b}$
where both $a$ and $b$ are integers.
In other words $a,b \in\mathcal Z$
Hope this helps!
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