Question

Find three rational number between the following: 2 upon 3 and 3 upon 4

Answer 1

Hi there!!

So u needed 3 rational numbers between 2/3 and 3/4 .
Here you go...
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First, look at the denominators.. They are not same so take the LCM of that.
The LCM of 4 and 3 is 12.

(2/3)4 and (3/4)3
8/12 and 9/12

Since we have to find 3 rational numbers between them we will multiply both by 10.

(8/12)10 and (9/12)10
80/120 and 90/120

Now the three rational numbers between 2/3 and 3/4 are:-
81/120, 82/120, 83/120 etc
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Hope this helps you..
Thank you...