write all rational numbers between 2/3 and 3/2
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Step-by-step explanation:
towards equating numerators: 2/3 = 6/9 and 3/2 = 6/4; now multiply all terms by 6: 6/9 = 36/54 and 6/4 = 36/24; now subdivide the interval between 54 and 24 into 6 by laying out arirthmetically equidistant denominators; result: 36/49, 36/44 = 9/11, 36/39 = 12/13, 36/34 = 18/17, 36/29.
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there are infinite rational number between 2/3 and 3/2
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