14 5/24 - 3 7/12 - 5 9/16

To subtract these mixed numbers, we first need to convert them to improper fractions:

14 5/24 = (2414 + 5)/24 = 365/24
3 7/12 = (123 + 7)/12 = 43/12
5 9/16 = (16*5 + 9)/16 = 89/16

Now, we subtract the fractions:

365/24 - 43/12 - 89/16

To subtract fractions, we need to have a common denominator. The common denominator for 24, 12, and 16 is 48. So, we rewrite the fractions with a common denominator of 48:

(365/24)(2/2) = 730/48
(43/12)(4/4) = 172/48
(89/16)*(3/3) = 267/48

Now we can subtract:

730/48 - 172/48 - 267/48 = (730 - 172 - 267)/48 = 291/48

Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 3:

291/48 ÷ 3/3 = 97/16

So, the result of 14 5/24 - 3 7/12 - 5 9/16 is 97/16 or 6 1/8.