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Which is the most accurate way to estimate 23%23\% of 6262?\newlineChoices:\newline(A) 23×60\frac{2}{3} \times 60\newline(B) 23×65\frac{2}{3} \times 65\newline(C) 14×60\frac{1}{4} \times 60\newline(D) 14×65\frac{1}{4} \times 65

Full solution

Q. Which is the most accurate way to estimate 23%23\% of 6262?\newlineChoices:\newline(A) 23×60\frac{2}{3} \times 60\newline(B) 23×65\frac{2}{3} \times 65\newline(C) 14×60\frac{1}{4} \times 60\newline(D) 14×65\frac{1}{4} \times 65
  1. Calculate Percentage: Calculate 23%23\% of 6262 directly to compare with the choices.\newlineCalculation: 0.23×62=14.260.23 \times 62 = 14.26
  2. Evaluate Choices: Evaluate each choice to see which is closest to 14.2614.26.
    (A) 23×60=40\frac{2}{3} \times 60 = 40
    (B) 23×65=43.33\frac{2}{3} \times 65 = 43.33
    (C) 14×60=15\frac{1}{4} \times 60 = 15
    (D) 14×65=16.25\frac{1}{4} \times 65 = 16.25
  3. Compare Results: Compare the results from Step 22 with the direct calculation.\newlineChoice (C) 1515 is closest to 14.2614.26.

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