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Which is the most accurate way to estimate 67%67\% of 4141?\newlineChoices:\newline(A) 23×43\frac{2}{3} \times 43\newline(B) 13×42\frac{1}{3} \times 42\newline(C) 13×43\frac{1}{3} \times 43\newline(D) 23×42\frac{2}{3} \times 42

Full solution

Q. Which is the most accurate way to estimate 67%67\% of 4141?\newlineChoices:\newline(A) 23×43\frac{2}{3} \times 43\newline(B) 13×42\frac{1}{3} \times 42\newline(C) 13×43\frac{1}{3} \times 43\newline(D) 23×42\frac{2}{3} \times 42
  1. Convert to Fraction: Step 11: Convert 67%67\% to a fraction for easier calculation.\newline67%67\% is approximately equal to 23\frac{2}{3}.
  2. Multiply by 4141: Step 22: Multiply the fraction by 4141 to estimate 6767% of 4141.\newline23×41=27.33\frac{2}{3} \times 41 = 27.33
  3. Compare with Choices: Step 33: Compare the result with the choices provided.\newline(A) 23×43=28.67\frac{2}{3} \times 43 = 28.67\newline(B) 13×42=14\frac{1}{3} \times 42 = 14\newline(C) 13×43=14.33\frac{1}{3} \times 43 = 14.33\newline(D) 23×42=28\frac{2}{3} \times 42 = 28
  4. Identify Closest Choice: Step 44: Identify which choice is closest to our calculation of 27.3327.33. Choice (A) 23×43=28.67\frac{2}{3} \times 43 = 28.67 is closest to 27.3327.33.

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