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Please help as quickly as possible

Please help as quickly as possible-example-1

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Answer:

The next fraction in the sequence is:

  • 4/27

Explanation:

How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:

  • 3/4 / 1/2 = 3/2 or 1.5

Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:

  1. 3/4 / 3/2 = 1/2
  2. 1/2 / 3/2 = 1/3
  3. 1/3 / 3/2 = 2/9
  4. 2/9 / 3/2 = 4/27

As you can see, all the results own to the sequence given, for this reason, the last result 4/27 is the correct fraction next to 2/9.

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