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Question
`5/6` lies between `2/3` and 1.
Options
True
False
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Solution
This statement is True.
Explanation:
First, we convert the given rational numbers with denominator as 6, we get
`2/3 = 2/3 xx 2/2 = 4/6`
`1 = 1 xx 6/6 = 6/6`
∵ `4/6 < 5/6 < 6/6`
∴ `2/3 < 5/6 < 1`
Therefore, `5/6` lies between `2/3` and 1.
Notes
We know that, if a and b are two rational numbers, then `(a + b)/2` is a rational number between a and b such that `a < (a + b)/2 < b`.
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