Question

After an earthquake 4/7 of all claims were paid within a month. Of all remaining claims I have not been paid yet 2/3 of them were paid within the second month. What fraction of all claims were paid in the second month? can someone tell me what operation that is?

Answer 1

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Answer:

  multiplication

Step-by-step explanation:

In math, "X of Y" means that X is multiplied by Y*. Here, you need to figure out what values are being multiplied.

The fraction of claims remaining unpaid after the first month is ...

  1 - 4/7 = 7/7 -4/7 = 3/7 . . . . fraction of claims unpaid after month 1

The problem statement tells you 2/3 of these are paid in the second month. That is ...

  (2/3) × (3/7) = 2/7 . . . . of the total of all claims

2/7 of all claims were paid in the second month.

_____

* The interpretation of the word "of" will depend on the context. Here, we're referring to X being a percentage or fraction, as in "2/3 of 3/7".

In some uses, the word "of" may signify that X is multiplied by a fraction with Y as the denominator, as in "5 of 8" (meaning 5/8), for example. If Y is an object, the X is still a multiplier, as in "3 of the bags of cement".