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Which is the most accurate way to estimate 51%51\% of 9393?\newlineChoices:\newline(A) 23×94\frac{2}{3} \times 94\newline(B) 12×94\frac{1}{2} \times 94\newline(C) 14×94\frac{1}{4} \times 94\newline(D) 13×94\frac{1}{3} \times 94

Full solution

Q. Which is the most accurate way to estimate 51%51\% of 9393?\newlineChoices:\newline(A) 23×94\frac{2}{3} \times 94\newline(B) 12×94\frac{1}{2} \times 94\newline(C) 14×94\frac{1}{4} \times 94\newline(D) 13×94\frac{1}{3} \times 94
  1. Calculate 5151% of 9393: Calculate 5151% of 9393 directly to compare with the choices.\newlineCalculation: 0.51×93=47.430.51 \times 93 = 47.43
  2. Evaluate choices: Evaluate each choice to see which is closest to 4747.4343.\newline(A) 23×94=62.67 \frac{2}{3} \times 94 = 62.67 \newline(B) 12×94=47 \frac{1}{2} \times 94 = 47 \newline(C) 14×94=23.5 \frac{1}{4} \times 94 = 23.5 \newline(D) 13×94=31.33 \frac{1}{3} \times 94 = 31.33
  3. Compare results: Compare the results from Step 22 with the direct calculation.\newline- Choice (A) 62.6762.67 is too high.\newline- Choice (B) 4747 is the closest.\newline- Choice (C) 23.523.5 is too low.\newline- Choice (D) 31.3331.33 is also too low.

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