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Which is the most accurate way to estimate 52%52\% of 5959?\newlineChoices:\newline(A) 34×60\frac{3}{4} \times 60\newline(B) 14×60\frac{1}{4} \times 60\newline(C) 13×60\frac{1}{3} \times 60\newline(D) 12×60\frac{1}{2} \times 60

Full solution

Q. Which is the most accurate way to estimate 52%52\% of 5959?\newlineChoices:\newline(A) 34×60\frac{3}{4} \times 60\newline(B) 14×60\frac{1}{4} \times 60\newline(C) 13×60\frac{1}{3} \times 60\newline(D) 12×60\frac{1}{2} \times 60
  1. Understand the problem: Step 11: Understand the problem and identify the goal. We need to estimate 52%52\% of 5959 using the closest choice provided.
  2. Calculate 52%52\% of 5959: Step 22: Calculate 52%52\% of 5959 directly for comparison. \newline52%52\% of 59=0.52×59=30.6859 = 0.52 \times 59 = 30.68.
  3. Evaluate choices: Step 33: Evaluate each choice to see which is closest to 30.6830.68.A) \frac{\(3\)}{\(4\)} \times \(60 = 00.7575 \times 6060 = 4545B) \frac{\(1\)}{\(4\)} \times \(60 = 00.2525 \times 6060 = 1515C) \frac{\(1\)}{\(3\)} \times \(60 = 00.3333 \times 6060 = 1919.88D) \frac{\(1\)}{\(2\)} \times \(60 = 00.55 \times 6060 = 3030
  4. Compare results: Step 44: Compare the results from Step 33 with the direct calculation from Step 22. Choice (D) 3030 is the closest to 30.6830.68.

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