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What fraction of the total earthquake claims were paid in the second month, considering that 4/7 of all claims were paid in the first month and then 4/7 of the remaining claims were paid within the second month?

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Final answer:

To find the fraction of earthquake claims paid in the second month, we can use the given information and calculate the fraction step by step using basic multiplication and subtraction.

Step-by-step explanation:

To find the fraction of earthquake claims paid in the second month, we need to understand the given information. First, we know that 4/7 of all claims were paid in the first month. Let's assume there were 100 claims in total. So, 4/7 * 100 = 57.14 claims were paid in the first month.



Now, we need to find 4/7 of the remaining claims. Since 57.14 claims were paid in the first month, there are 100 - 57.14 = 42.86 claims remaining.



Finally, we calculate 4/7 * 42.86 = 24.49 claims that were paid in the second month. Therefore, the fraction of the total earthquake claims paid in the second month is 24.49/100, which is approximately 0.245 or 24.5%.

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