four rational no. between -3/2 and 5/3
pls explain the method
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-4/3, -7/6, 0 , 1/2
Question :
To find 4 rational numbers between -3/2 and 5/3
Solution :
Let us make the denominator to 6, as LCM of 2 and 3 is 6. We are doing in this way to find the rational numbers in between them with same denominator
So, multiplying and diving -3/2 with 3, we get = -9/6
multiplying and diving 5/3 with 2, we get = 10/6
So, now the represented rational numbers are -9/6 and 10/6
the numbers between numerators -9 and 10 are -8, -7, -6 , ... -1, 0, 1, 2 , 3 ,... 8, 9
Rational numbers formed by these numbers are
-8/6, -7/6 , 0, 3/6, 9/6 , etc.
So, these can be further reduced to
-4/3 , -7/6 , 0 , 1/2, 3/2, etc
Hence, any four rational numbers are -4/3, -7/6, 0 , 1/2
Hope it helps!
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