Which of the following fractions is closest to 55.5%?
{5/9} is closest to 55.5%.
To determine which fraction is closest to 55.5%, we can convert each fraction to a decimal and then to a percentage. Upon calculation, {5/9} converts to approximately 55.56%, making it the closest match to the target percentage.
Calculating {5/9} gives approximately 0.5556, which converts to 55.56%. This percentage is very close to 55.5%, making it the best choice among the options given.
The fraction {6/10} simplifies to {3/5}, which equals 0.6 or 60%. This percentage is above 55.5%, making it less suitable as the closest fraction.
Calculating {4/9} results in approximately 0.4444, which converts to 44.44%. This value is significantly lower than 55.5%, indicating it is not a close match.
The fraction {5/6} equals approximately 0.8333, which converts to 83.33%. This percentage is far greater than 55.5%, thus making it an unsuitable choice as well.
Among the choices presented, {5/9} stands out as the closest fraction to 55.5%, with its calculated percentage of 55.56%. The other options either exceed or fall short of the target percentage, confirming {5/9} as the optimal answer. Accurate fraction analysis is essential for precise comparisons in mathematical contexts.
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