Find a rational number between minus 3 by 4 and minus 2 by 5
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-3/4 & -2/5
First make the denominator same.
To make the denominator same we have to fine the LCM of 4 and 5 (as they are the denominator in this question.)
Now,
LCM of 4 & 5 is 20
So to make the denominators 20 for both you will have to multiply both denominator and numerator .
Numerator with the same no. that has been used for multiplying denominator.
So here,
-3/4*5/5 & -2/5*4/4
So
-15/20 & -8/20
Therefore 1 rational no. between -3/4 & -2/5 are -14/20 , -13/20 , -12/20 , -11/20 , -10/20 , -9/20. ( Any one number)
Hope it's clear for you
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