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The simplest form of the rational number 63/84 is ______. - Mathematics

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Question

The simplest form of the rational number `63/84` is ______.

Options

  • `3/4`

  • `21/28`

  • `9/12`

  • `42/63`

MCQ
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Solution

The simplest form of the rational number `63/84` is `underlinebb(3/4)`.

Explanation:

To simplify `63/84`, divide both numerator and denominator by their greatest common divisor (GCD).

The GCD of 63 and 84 is 21.

Dividing numerator and denominator by 21:

`(63 ÷ 21)/(84 ÷ 21) = 3/4`

So, `3/4` is the simplest form since 3 and 4 have no common factors other than 1.

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Chapter 1: Rational and Irrational Numbers - Exercise 1F [Page 34]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1F | Q 14. | Page 34
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