To subtract these two mixed numbers, we first need to convert them to improper fractions.
5 4/17 = (5 * 17 + 4)/17 = 89/17 1/3 = 1 * 3 = 3/3
Now, we can subtract 89/17 - 3/3:
89/17 - 3/3 = (893 - 317) / (17*3) = (267 - 51) / 51 = 216/51
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
216/51 = 72/17
Therefore, 5 4/17 - 1/3 = 72/17.