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Which is the most accurate way to estimate 26%26\% of 7070?\newlineChoices:\newline(A) 14×67\frac{1}{4} \times 67\newline(B) 14×72\frac{1}{4} \times 72\newline(C) 12×72\frac{1}{2} \times 72\newline(D) 12×67\frac{1}{2} \times 67

Full solution

Q. Which is the most accurate way to estimate 26%26\% of 7070?\newlineChoices:\newline(A) 14×67\frac{1}{4} \times 67\newline(B) 14×72\frac{1}{4} \times 72\newline(C) 12×72\frac{1}{2} \times 72\newline(D) 12×67\frac{1}{2} \times 67
  1. Convert to fraction: Convert 26%26\% to a fraction for easier calculation.\newline26%=26100=0.2626\% = \frac{26}{100} = 0.26
  2. Calculate percentage of 7070: Calculate 26%26\% of 7070 directly to compare with the choices.\newline0.26×70=18.20.26 \times 70 = 18.2
  3. Evaluate each choice: Evaluate each choice to see which is closest to 18.218.2.A) \frac{\(1\)}{\(4\)} \times \(67 = 00.2525 \times 6767 = 1616.7575B) \frac{\(1\)}{\(4\)} \times \(72 = 00.2525 \times 7272 = 1818C) \frac{\(1\)}{\(2\)} \times \(72 = 00.55 \times 7272 = 3636D) \frac{\(1\)}{\(2\)} \times \(67 = 00.55 \times 6767 = 3333.55

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