Answer :

Final answer:

The most accurate approximation for 25% of 74 among the given options is '1/4 of 78'. The accurate way to calculate 25% of any number is by multiplying that number by 0.25. Hence, 25% of 74 is 18.5, making '1/4 of 78' (19.5) the closest option.

Explanation:

The most accurate way to estimate 25% of 74 is by directly calculating 25% of 74. However, in the question you provided, the closest approximation given in the options would be through the calculation '1/4 of 78', which is equivalent to getting 25% of 78. The other choices involve different fractions or different entire value, making them less accurate as approximations of 25% of 74.

Here's the step by step :

  1. Convert the percentage to a decimal by dividing by 100. So, 25% becomes 0.25.
  2. Multiply this decimal by the number to find the percentage of that number. In this case, 0.25 * 74 approximately equals to 18.5

So, if we analyze the choices, '1/4 of 78' (which is 19.5) will be the closest to 18.5 hence the most accurate approximation among the choices.

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