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Question
Write three rational number that lie between the two given number.
`4/5, 2/3`
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Solution
The given numbers are `4/5 "and" 2/3`
Let us convert these numbers into fractions with equal denominators.
`4/5 = (4xx6)/(5xx6) = 24/30`
`2/3 = (2xx10)/(3xx10) = 20/30`
We know that,
20 < 21 < 22 < 23 < 24
∴ `20/30<21/30<22/30<23/30<24/30`
`=> 2/3<21/30<22/30<23/30<4/5`
Hence, 3 rational numbers between `2/3 "and" 4/5` are:
`21/30, 22/30 "and" 23/30`.
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