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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]
