Of all fractions with a denominator of 17 and a whole number numerator, how many are

between 1/3 and 2/3?

1/3 as a decimal is 0.333

2/3 as a decimal is 0.6666

The numerator would need to be less than 17, so find the numbers when divided by 17 are greater than 0.333 and less than 0.6666.

5/17 = 0.294

6/17 = 0.353

The lowest whole number would be 6.

11/17 = 0.647

12/17 = 0.705

The highest whole number would be 11.

So you would have 6/17, 7/17, 8/17, 9/17, 10/17, 11/17 for a total of 6 numbers.