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Which of the following rational number is in the standard form?(a) \(\frac{16}{21}\)(b) \(\frac{16}{24}\)(c) \(\frac{21}{15}\)(d) \(\frac{-21}{56}\)The question was asked in a national level competition.This is a very interesting question from Properties of Rational Numbers in chapter Rational Numbers of Mathematics – Class 8

Answer»

Correct choice is (a) \(\frac{16}{21}\)

The best I can EXPLAIN: A rational number is said to be in it’s standard form when the numbers cannot be further reduced.

Here, we can SEE that the options other than the OPTION \(\frac{16}{21}\) can be reduced.

When \(\frac{16}{24}\) is reduced, we get \(\frac{2}{3}\)… Standard Form.

When \(\frac{21}{15}\) is reduced, we get \(\frac{7}{5}\)… Standard Form.

When \(\frac{-21}{56}\) is reduced, we get \(\frac{-3}{8}\)… Standard Form.



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