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Question
Show that `4/5` lies between `3/4` and `5/6`.
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Solution
`3/4>4/5>5/6` or `3/4<4/5<5/6`
Now L.C.M. of 4, 5, 6 = 60
∴ `3/4=(3xx15)/(4xx15)=45/60`
`4/5=(4xx12)/(5xx12)=48/60`
`5/6=(5xx10)/(6xx10)=50/60`
∴ `45/60<48/60<50/60`
⇒ `3/4<4/5<5/6`
Hence `4/5` lies between `3/4` and `5/6`
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