Which number should follow this series: 64/64, 9/12, 6/12?

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To find the next number in the series, it is essential to first identify the pattern present in the fractions given: 64/64, 9/12, and 6/12.

Looking more closely, we can simplify the fractions:

  • 64/64 simplifies to 1 (or 8/8).
  • 9/12 simplifies to 3/4.
  • 6/12 simplifies to 1/2.

Now we can see the series more clearly: we have 1, 3/4, and 1/2. This sequence shows a reduction in fractions where each term is diminishing:

  • From 1 (which is equivalent to 4/4) to 3/4, the decrease is by 1/4.
  • From 3/4 to 1/2 (which is 2/4), we also see a decrease of 1/4.

Continuing this pattern, we can expect the next term to decrease again by 1/4 from 1/2:

  • 1/2 (or 2/4) minus 1/4 results in 1/4 (or 1/4).

Thus, the next term in the series should