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Rational by rational always rational?

Here's a statement that I've come across in the app. It reads: "Dividing a rational number by a rational number will always produce a rational number." I immediately chose True, but apparently this was not the correct answer.

I thought that you cannot get an irrational number by dividing two rational numbers. I'm obviously missing something. Can you give me a couple of concrete examples when this is not the case?

Note by Hold the door Hodor
2 months, 2 weeks ago

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Divide \(7\) by \(0\), both are separately rational but the result which comes on division is not even a real number( and hence not rational). Indeed you could choose both zero and we very well know \(\frac{0}0\) is an undetermined form. Rishabh Cool · 2 months, 2 weeks ago

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