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Insert a rational number between 5/7 and 6/11. - Mathematics

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Question

Insert a rational number between `5/7` and `6/11`.

Sum
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Solution

Let’s verify whether `11/18` is a rational number between `5/7` and `6/11`.

Step 1: Convert to decimals

`5/7 ≈ 0.7143`

`6/11 ≈ 0.5455`

`11/18 ≈ 0.6111`

Step 2: Compare

Here, the order is:

`6/11 ≈ 0.5455 < 11/18 ≈ 0.6111 < 5/7 ≈ 0.7143`

So, `11/18` is indeed between `6/11` and `5/7`, but not between `5/7` and `6/11`.

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1A [Page 5]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1A | Q 2. (iii) | Page 5
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