Final answer:
The monkey must climb an additional 26/15 feet, or approximately 1 11/15 feet, to reach the top of the 10 feet tall coconut tree after having already climbed a total of 8 4/15 feet.
Step-by-step explanation:
The student's question is about calculating the remaining distance a monkey needs to climb in order to reach the top of a 10 feet tall coconut tree, after the monkey has already climbed a certain distance. The monkey initially climbs 3 3/5 feet and then climbs an additional 4 2/3 feet. To find out how many more feet the monkey must climb to reach the top, we add these two distances together and subtract them from the total height of the tree.
First, convert mixed numbers to improper fractions:
3 3/5 = (3 * 5 + 3)/5 = 18/5 feet
4 2/3 = (4 * 3 + 2)/3 = 14/3 feet
Adding these two distances together:
18/5 + 14/3 = (18 * 3 + 14 * 5)/(5 * 3) = (54 + 70)/15 = 124/15 feet
Now, convert this sum back to a mixed number:
124/15 = 8 4/15 feet (8 whole feet and 4/15 of a foot)
Finally, subtract the distance climbed from the total height of the tree:
10 feet - 8 4/15 feet = (150/15 - 124/15) feet = 26/15 feet
So, the monkey must climb 26/15 feet, or approximately 1 11/15 feet, to reach the top of the tree.