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.