Question

find two rational numbers between 5/6 and 6/7.

Answer 1

The formula is a+b/2
so,
5/6 , (5/6+6/7)/2, 6/7
5/6, 71/84, 6/7
similarly
5/6, 71/84, (71/84+6/7)/2, 6/7
5/6, 71/84, 143/168, 6/7

The rational no.s are 71/84 and 143/168

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Answer 2

here is your answer.....
here a=5/6 b=6/7
The first rational number between a, b are
a+b/2=[5/6+6/7]/2
=[1.2+1.1]/2
=[2.3]/2
=1.15
=115/100
The second rational number between 5/6 and 6/7 is
a+b/2=[5/6+115/100]/2
=[1.2+1.15]/2
=2.35/2
=1.175
=1175/1000
Hope this helps you
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