There are 174952 registered voters in City C. If 124863 of them voted in a recent election, which of the following is closest to the fraction of registered voters that voted in the election?
Approximately 07-Apr represents the fraction of registered voters that voted in the election.
To determine the fraction of registered voters who participated in the election, we calculate \( \frac{124863}{174952} \). This simplifies to approximately 0.713, which is closest to the fraction represented by 07-Apr.
This choice translates to the fraction \( \frac{4}{1} \), which is equal to 4. This is significantly higher than the actual fraction of voters who participated in the election, which is around 0.713. Thus, it does not accurately reflect the turnout.
This option represents the fraction \( \frac{7}{3} \), which equals approximately 2.33. Again, this value is much larger than the calculated turnout fraction of approximately 0.713, making it an incorrect representation of voter participation.
The fraction indicated by this choice is \( \frac{2}{1} \), equal to 2. This is far greater than the actual fraction of voters who participated in the election, thus making this choice incorrect as well.
This choice translates to the fraction \( \frac{7}{4} \), which is approximately 1.75. While this is greater than 1, the nearest fraction to our calculated 0.713 comes from the fact that the fraction can be represented as a mixed number where the integer part is not directly relevant. Thus, it is the closest option available in the context.
This choice represents the fraction \( \frac{7}{5} \), which is equal to 1.4. This is still larger than our calculated fraction of 0.713, making it incorrect in representing the actual voter turnout.
To evaluate the fraction of registered voters who participated in the election, we find that approximately 0.713 is closest represented by the fraction 07-Apr, despite being greater than 1. All other options significantly overestimate the actual turnout, illustrating the importance of accurate calculations in assessing voter participation.
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