Question

Find six rational numbers between 3 and 4.
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Answer 1

Answer:

3+4=7

then multiply both by 7

3/1×7/7. 4/1×7/7

21/7, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 , 28/7

Answer 2

$\sf \underline \red{Solution:}$

$\sf \underline{To \: find:}$

n rational numbers between any two numbers:

Step 1: Multiply and divide both the numbers by n+1.

$\sf \blue{we \: have \: to \: find \: 6 \: rational \: numbers \:} \\ \sf \blue { between \: 3 \: and \: 4. \: Here \: n = 6}$

Multiply 3 and 4 by 7

Step 2: Choose 6 numbers between 21/7 and 28/7

3 = 21/7 < 22/7 < 23/7 < 24/7 < 25/7 < 26/7 < 27/7 < 28/7 = 4

Therefore, 6 rational numbers between 3 and 4 are

22/7, 23/7, 24/7, 25/7, 26/7, 27/7

$\sf \orange{Thanks}$