Question

how many numbers are there in between2\3 and3\5​

Answer 1

Answer:

A rational number between 2/3 and 3/5 is 1/2 (2/3+3/5)=1/2( [10+9]/15) =1/2(19/15)=19/30

Then,2/3<19/30<3/5

A rational number between 2/3 and 19/30

=1/2 {2/3+19/30} =1/2. ([20+19]/30)=1/2 {39/30)=39/60

A rational number between 19/30 and 3/5=1/2 {19/30+3/5}=1/2 ([19+18]/30)=1/2(37/30)=37/60

Therefore,2/3<39/60<19/30<37/60<3/5

Hence, 39/60,19/30 and 37/60 are the three rational numbers lying between 2/3 and 3/5.

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