Question

Find
an irration numbar between 1/7 ans 2/7


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Answer 1

QUESTION:

• Find an irrational number between 1/7 and 2/7.

SOLUTION:

By actual division , we can see that

$\sf \: \frac{1}{7} = 0.142857 \: and \: \frac{2}{7} = 0.285714$

Then , it is clear that the number 0.16016001600016... is an irrational number lying between

$\sf \: \frac{1}{7} \: and \: \frac{2}{7} .$

REMARK: We may find large number I'd irrational numbers between

$\sf \: \frac{1}{7} and \: \frac{2}{7}$