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Among the provided fractions, determine which one accurately represents the scenario of 56 shares evenly distributed among 12 people.

a. 56/12
b. 56/24
c. 44/56
d. 12/56
select the fraction that correctly represents the even distribution of 56 shares among 12 people.

User Dynalon
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2 Answers

2 votes

Final answer:

The fraction that accurately represents the distribution of 56 shares among 12 people is 56/12. This is calculated by dividing the total number of shares by the number of people, before performing the actual division.

Step-by-step explanation:

To determine which fraction accurately represents the scenario of 56 shares evenly distributed among 12 people, we can consider each option. The correct representation is given by dividing the total number of shares by the number of people, which is 56 divided by 12. Therefore, the fraction we're looking for will have 56 as the numerator, since that's the total number of shares, and 12 as the denominator, since that's the number of people.

Examining the options given, the fraction that represents this is 56/12 as in option a. To find out how many shares each person gets, we can simply perform the division:

56 shares ÷ 12 people = 4.6666...

Since we are looking for the fraction before performing the division, our correct answer stands as 56/12.

User Raysa
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7.5k points
4 votes

Final answer:

The correct fraction that represents the distribution of 56 shares among 12 people is 56/12, which simplifies to 4 and 2/3, indicating each person receives about 4.67 shares.

Step-by-step explanation:

To determine which fraction accurately represents the scenario of distributing 56 shares evenly among 12 people, we perform a division. The number of shares (56) serves as our numerator, and the number of people (12) becomes our denominator. Therefore, the correct fraction is 56/12. This fraction can be further simplified to 4 and 2/3 or approximately 4.67 when expressed as a decimal, indicating that each person would receive about 4.67 shares.

User Dbernard
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8.3k points