Question

Find three rational numbers between 2/3and3/4.

Answer 1

Let us find the first rational number,
(2/3)+(2+3)/(3+4)+(3/4)
2/3+5/7+3/4

Now the second and third rational number,
2/3+(2+5)/(3+7)+5/7+(5+3)/(7+4)
2/3+7/10+5/7+8/11

So we got three more rational numbers here.







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Answer 2

2/3×4/4=8/12
3/4×3/3=9/12
Now,8/12×4/4=32/48
9/12×4/4=36/48
So,3 rational no. Between 2/3 and 3/4
Is 33/48,34/48,35/48