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Which is the most accurate way to estimate 26%26\% of 7979?\newlineChoices:\newline(A) 23×80\frac{2}{3} \times 80\newline(B) 14×77\frac{1}{4} \times 77\newline(C) 14×80\frac{1}{4} \times 80\newline(D) 23×77\frac{2}{3} \times 77

Full solution

Q. Which is the most accurate way to estimate 26%26\% of 7979?\newlineChoices:\newline(A) 23×80\frac{2}{3} \times 80\newline(B) 14×77\frac{1}{4} \times 77\newline(C) 14×80\frac{1}{4} \times 80\newline(D) 23×77\frac{2}{3} \times 77
  1. Convert to decimal: Convert the percentage to a decimal for easier calculation.\newline26%26\% as a decimal is 0.260.26.
  2. Calculate percentage of 7979: Calculate 26%26\% of 7979 using the decimal.\newline0.26×79=20.540.26 \times 79 = 20.54.
  3. Compare with choices: Compare the result with the given choices to find the closest estimate.\newline(A) 23×80=53.33\frac{2}{3} \times 80 = 53.33\newline(B) 14×77=19.25\frac{1}{4} \times 77 = 19.25\newline(C) 14×80=20\frac{1}{4} \times 80 = 20\newline(D) 23×77=51.33\frac{2}{3} \times 77 = 51.33
  4. Choose closest estimate: Determine which choice is closest to 20.5420.54. Choice (C) 14×80=20\frac{1}{4} \times 80 = 20 is the closest estimate.

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