Final answer:
The difference in height between Destiny and Jared is 11/18 ft.
Step-by-step explanation:
To find the difference in height between Destiny and Jared, we subtract their heights. Destiny is 5 5/6 ft tall and Jared is 6 4/9 ft tall. First, we need to convert the mixed numbers to improper fractions. Destiny's height is 35/6 ft and Jared's height is 58/9 ft. Next, we subtract the heights: 58/9 - 35/6. To do this, we need to find a common denominator. The least common multiple of 6 and 9 is 18. Multiplying the fractions to have a common denominator, we get 58/9 - 35/6 = 116/18 - 105/18 = 11/18. Therefore, the difference in height between Destiny and Jared is 11/18 ft.