How find how find six rational …
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Posted by Śniper Gaming 3 years, 9 months ago
- 2 answers
Gaurav Seth 3 years, 9 months ago
A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.
Then, 3 < 7/2 < 4
A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)
= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4
A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1)
= 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4
Therefore, 3 < 13/4 < 7/2 < 15/4 < 4
Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.
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Gaurav Seth 3 years, 9 months ago
There can be infinitely many rational numbers between 3 and 4.
Thus, six ratonal numbers between 3 and 4 are .
OR
Thus, six rational numbers between 3 and 4 can be taken as
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