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Question

The numerator and the denominator of a fraction are only whole numbers? In other words, aren't they supposed to be integer of decimals like rational numbers?

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Solution

  • If we see every fraction, there may be some which are rational and others which are irrational.
  • It depends on the numerator and denominator.
  • For example, if we consider 5/7, then yes it is a rational number.
  • However, if we consider ✓2/5, then that will be an irrational number.
  • Eventhough at school level we are taught that all fractions are rational numbers, that is not the case as we delve deeper into the subject. There are other fractions which cannot be considered rational if they do not satisfy

So, all fractions cannot be considered as rational numbers.

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