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Which is the most accurate way to estimate 33%33\% of 6868?\newlineChoices:\newline(A) 34×69\frac{3}{4} \times 69\newline(B) 23×69\frac{2}{3} \times 69\newline(C) 13×69\frac{1}{3} \times 69\newline(D) 12×69\frac{1}{2} \times 69

Full solution

Q. Which is the most accurate way to estimate 33%33\% of 6868?\newlineChoices:\newline(A) 34×69\frac{3}{4} \times 69\newline(B) 23×69\frac{2}{3} \times 69\newline(C) 13×69\frac{1}{3} \times 69\newline(D) 12×69\frac{1}{2} \times 69
  1. Understand the problem: Understand the problem.\newlineWe need to find which choice closely estimates 33%33\% of 6868.
  2. Calculate 33%33\% of 6868: Calculate 33%33\% of 6868.\newline33%33\% of 68=0.33×68=22.4468 = 0.33 \times 68 = 22.44
  3. Evaluate each choice: Evaluate each choice to see which is closest to 22.4422.44.
    (A) 34×69=0.75×69=51.75\frac{3}{4} \times 69 = 0.75 \times 69 = 51.75
    (B) 23×69=0.67×69=46.23\frac{2}{3} \times 69 = 0.67 \times 69 = 46.23
    (C) 13×69=0.33×69=22.77\frac{1}{3} \times 69 = 0.33 \times 69 = 22.77
    (D) 12×69=0.5×69=34.5\frac{1}{2} \times 69 = 0.5 \times 69 = 34.5
  4. Compare the results: Compare the results.\newlineChoice (C) 13×69=22.77\frac{1}{3} \times 69 = 22.77 is the closest to 22.4422.44.

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