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Question

List five rational numbers between: 45 and 23.

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Solution

Given rational numbers are 45, 23

Lets equate the denominators are same,

45×33, 23×55

=1215, 1015

Since, we require five rational numbers between given rational numbers.

Here the numerators are, 12,10

12×2=24, 10×2=20

Integers between 24 and 20 are 23,22,21

Here, we have only three integers.

12×3=36, 10×3=30

Integers between 36 and 30 are 35,34,33,32,31

Here, we have five integers.

So, lets multiply by 33

1215×33, 1015×33

3645, 3045

Five rational numbers between 1215, 1015 are 3545,3545,3545,3545,3545

Note: There exist infinite rational numbers between any two rational numbers.


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