Final answer:
To subtract 1 1/2 from the sum of 4 2/3 and 5 2/5, we first find the sum of the second and third fraction, and then subtract 1 1/2 from that sum. The answer is 6 2/5.
Step-by-step explanation:
To subtract 1 1/2 from the sum of 4 2/3 and 5 2/5, we first find the sum of the second and third fraction. To add 4 2/3 and 5 2/5, we need to find a common denominator. The common denominator of 3 and 5 is 15, so we can rewrite the fractions with this denominator: 4 10/15 and 5 6/15. Now we can add: 4 10/15 + 5 6/15 = 9 16/15. Finally, we can subtract 1 1/2 from this sum: 9 16/15 - 1 1/2 = 8 16/15 - 1 1/2 = 7 14/15 - 1/2 = 7 14/15 - 8/15 = 6 6/15 = 6 2/5.