Question

After an earthquake, $$ 3 7​ of all claims were paid within a month. Of the remaining claims that had not yet been paid, $$ 2 5​ of them were paid within the second month. What fraction of all claims were paid in the second month?

Answer 1

6/35

Explanation:

After an earthquake, $$ 3 /7​ of all claims were paid within a month.

Let the total number of claims be represented by 1

Therefore, the amount of claims that were not paid within the month is calculated as:

1 - 3/7 = 4/7

Hence, 4/7 claims were not yet paid.

Of the remaining claims that had not yet been paid, $$ 2/5​ of them were paid within the second month. What fraction of all claims were paid in the second month?

This is calculated as:

2/5 of the claims that were not yet paid

= 2/5 of 4/7

= 2/5 × 4/7

= 6/35