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Question
Find five rational numbers between `3/5` and `4/5`.
Solution
We need to find 5 rational numbers between `3/5` and `4/5`.
Since, LCM of denominators = LCM (5, 5) = 5
So, consider
`3/5=3/5xx6/6`
`rArr3/5=18/30`
And,
`rArr4/5=4/5xx6/6`
`rArr4/5=24/30`
Hence, 5 rational numbers between `3/5` and `4/5` are: `19/30, 20/30, 21/30, 22/30, 23/30` OR `19/30, 2/3, 7/10, 11/15, 23/30`.
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