3 rational numbers between 1/4and 1/2
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Step-by-step explanation:
The rational number between a and b is (a + b)/2
Hence rational number between 1 and 2 is (1+2)/2 = 3/2 = 1.5
Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4 = 1.25
Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8 = 1.125
Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4= 1.75
Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4
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