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Insert two rational numbers between the following rational numbers: −1/3 and −1/4 - Mathematics

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Question

Insert two rational numbers between the following rational numbers:

`-1/3` and `-1/4`

Sum
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Solution

Let’s find two rational numbers between `-1/3` and `-1/4`.

Step 1: Express both with a common denominator

`-1/3 = -8/24`,

`-1/4 = -6/24`

So, we are looking for numbers between `-8/24` and `-6/24`.

Step 2: Choose two rational numbers between them

Two possible numbers between `-8/24` and `-6/24` are `-7/24` and `-5/16`.

Both lie between `-1/3` and `-1/4`.

`-5/16, -7/24`

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Chapter 1: Rational and Irrational Numbers - Exercise 1A [Page 6]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1A | Q 4. (ii) | Page 6
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