To subtract fractions, we need to find a common denominator for each pair of fractions.

For 17/32 - 5/12:

The common denominator is 96.

So, 17/32 = 51/96 and 5/12 = 40/96.

Therefore, 17/32 - 5/12 = 51/96 - 40/96 = 11/96.

For 35/36 - 41/45:

The common denominator is 180.

So, 35/36 = 175/180 and 41/45 = 164/180.

Therefore, 35/36 - 41/45 = 175/180 - 164/180 = 11/180.

Thus, the final answers are:

17/32 - 5/12 = 11/96

35/36 - 41/45 = 11/180