Question

write any 5 rational numbers between 7/2​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

1/2,1/3,1/4,1/5

Step-by-step explanation:

Rational numbers between 2 and 7:

Take any natural number n, greater then 1. The reciprocal of n, i.e, 1/n is a rational number and lies between 0 and 1.

Thus we see that all the fractions 1/2, 1/3, 1/4, 1/5, …. lie between 0 and 1. Hence, we conclude that, since there are an infinite number of natural numbers greater than 1, there are an infinite number of fractions of the type 1/n, which lie between 0 and 1.

Now add any rational number between 2 and 6 to all these fractions. Then all of them lie between 2 and 7. The sum of two rational numbers is a rational number.

So, we see that there are an infinite number of rational numbers between 2 and 7.