Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).
To find a set that includes rational numbers but not natural numbers, we need to examine the options:
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6 2/3, −5, 4/5, 2 - This set contains 2, which is a natural number.
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−1, −6, 3, 8 - This set contains 3 and 8, which are both natural numbers.
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1/4, −4 5/6, 18/7, 2 - This set contains 2, which is a natural number.
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0, 1, 2, 3 - All numbers in this set (1, 2, 3) are natural numbers, while 0 is not natural but is not included in the request since the question is asking for sets that only include rational numbers and exclude natural numbers.
None of the sets provided exclusively contain rational numbers without including natural numbers; however, the closest option would be the first one with the most rational and negative components—though it still contains a natural number.
If forced to select one with the highest proportion of rational numbers not focusing on natural numbers, one could propose the first one. However, there seems to be an inconsistency in the question if it implies a perfect answer based on the reasoning above.
Based on the options, none strictly follow the requirement of rational numbers excluding natural numbers. Would you like to ask differently or provide more sets to consider?