find three rational numbers between 3/5 and 2/3
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3/5×15/15=45/75,2/3×25/25=50/75
Then between 45/75and50/75
46/75,47/75,48/75
Then between 45/75and50/75
46/75,47/75,48/75
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First, let's make the denominators of the numbers same.
For this we need to know the LCM of 5 and 3 = 15.
3/5*3/3=9/15.
2/3*5/5=10/15.
Now, we should multiply the numbers with any number ≤ 4.
Multiplying with 4 to get exactly 3 rational numbers between the given numbers:
9/15*4/4=36/60.
10/15*4/4=40/60.
Therefore, 37/60,38/60 (19/30) and 39/60 (13/20) are 3 rational numbers between 3/5 and 2/3.
We can add on to this list by multiplying by numbers greater than 4.
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