Find three fractions larger than /2 and less than /3.
Answers
Answer:
There are actually an infinite number of fractions that are larger than 1/3 and smaller than 1/2. To begin finding fractions between the two numbers, change both fractions to a common denominator. The smallest common denominator is 6. So, 1/3 = 2/6 and 1/2=3/6. However, there are an infinite number of fractions now between 2/6 and 3/6. The next smallest common denominator is 12. So, 2/6=4/12 and 3/6= 6/12. The fraction that is definitely between 4/12 and 6/12 is 5/12. This process can be carried out indefinitely, letting the next fractions be 4/12=8/24 and 6/12=12/24. Notice this time there are THREE obvious fractions between the two fractions 8/24 and 12/24 (9/24, 10/24 and 11/24). It should appear very clear now that this process goes on infinitely.
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