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Question

Mathematics Question on Real Numbers and their Decimal Expansions

Find three different irrational numbers between the rational numbers 57\frac{5}{7} and 911\frac{9}{11}.

Answer

57\frac{5}{7} = 0.714285\overline{0.714285}

911\frac{9}{11} = 0.81\overline{0.81}

3 irrational numbers are as follows. 0.

073007300073000073…

0.75075007500075000075…

0.79079007900079000079…