Question 8
Find three different irrational numbers between the rational numbers $\frac{5}{7} a n d \frac{9}{11}$ .

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Solution

$\frac{5}{7} = 0. ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 714285 \frac{9}{11} = 0. ¯ ¯¯¯¯ ¯ 81$

Three different irrational numbers are:

0.73073007300073000073…

0.75075007300075000075…

0.76076007600076000076…

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

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