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After an earthquake, 1/4 of all claims were paid within a month. Of the remaining claims not paid 4/5 of them were paid within the second month. What fraction of claims were paid in the second month?

User Seph
by
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2 Answers

4 votes

Final answer:

The fraction of claims paid in the second month is 3/5.

Step-by-step explanation:

To find the fraction of claims paid in the second month, we need to consider the fraction of claims that were not paid in the first month. Since 1/4 of all claims were paid in the first month, 3/4 of the claims were not paid in the first month. Of these remaining claims, 4/5 were paid in the second month. Multiplying the fractions, we get:

3/4 x 4/5 = 12/20 = 3/5

User Lenny Markus
by
8.0k points
5 votes

Answer:

3/5

Step-by-step explanation:

Fraction not paid within first month = 1- 1/4 =3/4

That means, the 3/4 were carried forward to second month and,

4/5 of the 3/4 were paid on second month.;

Fraction paid in second month = 4/5 *3/4

To solve this multiply the numerators separately(4*3) and the denominators separately (5*4) to give

= 12/20

Then find a common factor that can divide 12/20 to its simplest form; that factor is 4.

Therefore The fraction of claims paid in second month is 3/5

User Jake Braun
by
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