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Question
Find three different irrational numbers between the rational numbers `5/7` and `9/11.`
Solution
0.714285...
`7)overline(5.0 )`
-49
10
-7
30
-28
20
-14
60
-56
40
-35
5
Thus, `5/7`= 0.714285......
= `0.overline714285`
0.8181...
`11)overline(9.0 )`
-88
20
-11
90
-88
20
-11
9
Thus, `9/11` = 0.8181......
= `0.overline81`
Three different irrational numbers between the rational numbers `5/7` and `9/11` can be taken as:
- 0.75075007500075000075.......
- 0.767076700767.......
- 0.808008000800008.......
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