Answer:
b. 2 22/27
Step-by-step explanation:
You want to know how much candy each person receives if a total of 4 2/3 pounds and 3 7/9 pounds is split 3 ways.
Total
The total amount of candy is ...
4 2/3 +3 7/9 = (4 +3) +(6/9 +7/9) = 7 +13/9 = 8 4/9 . . . . pounds
Split
When that is split 3 ways, each person gets ...
(1/3)×(8 4/9) = 8/3 +4/27 = 2 2/3 + 4/27 = 2 +(18/27 +4/27)
= 2 22/27 . . . . pounds
Each person would receive 2 22/27 pounds of candy.
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Additional comment
Already, when you know the sum, you can eliminate the wrong answer choices. You know the number will be more than 2 1/2, because (2 1/2)×3 = 7 1/2, and your sum is more than that.
A calculator or spreadsheet can help you figure this out.
