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Which is the most accurate way to estimate 33%33\% of 5353?\newlineChoices:\newline(A) 14×52\frac{1}{4} \times 52\newline(B) 34×52\frac{3}{4} \times 52\newline(C) 23×54\frac{2}{3} \times 54\newline(D) 13×54\frac{1}{3} \times 54

Full solution

Q. Which is the most accurate way to estimate 33%33\% of 5353?\newlineChoices:\newline(A) 14×52\frac{1}{4} \times 52\newline(B) 34×52\frac{3}{4} \times 52\newline(C) 23×54\frac{2}{3} \times 54\newline(D) 13×54\frac{1}{3} \times 54
  1. Convert to Fraction: Understand the problem and convert 33%33\% to a fraction for easier calculation.\newline33%33\% as a fraction is approximately 13\frac{1}{3}.
  2. Evaluate Choices: Evaluate each choice to see which one closely estimates 13×53\frac{1}{3} \times 53.
    (A) 14×52=13\frac{1}{4} \times 52 = 13 (rounded)
    (B) 34×52=39\frac{3}{4} \times 52 = 39 (rounded)
    (C) 23×54=36\frac{2}{3} \times 54 = 36 (rounded)
    (D) 13×54=18\frac{1}{3} \times 54 = 18 (rounded)
  3. Compare Results: Compare the results from Step 22 with the actual calculation of 13×53\frac{1}{3} \times 53. 13×53=17.67\frac{1}{3} \times 53 = 17.67, rounded to 1818.
  4. Identify Closest Choice: Identify which choice matches the calculation from Step 33. Choice (D) 13×54=18\frac{1}{3} \times 54 = 18 is the closest estimate to 13×53\frac{1}{3} \times 53.

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