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Which is the most accurate way to estimate 76%76\% of 6262?\newlineChoices:\newline(A)13×64\frac{1}{3} \times 64\newline(B)14×64\frac{1}{4} \times 64\newline(C)34×64\frac{3}{4} \times 64\newline(D)12×64\frac{1}{2} \times 64

Full solution

Q. Which is the most accurate way to estimate 76%76\% of 6262?\newlineChoices:\newline(A)13×64\frac{1}{3} \times 64\newline(B)14×64\frac{1}{4} \times 64\newline(C)34×64\frac{3}{4} \times 64\newline(D)12×64\frac{1}{2} \times 64
  1. Convert to decimal: Convert 76%76\% to a decimal for easier calculation.\newlineCalculation: 76%=0.7676\% = 0.76
  2. Calculate 76%76\% of 6262: Calculate 76%76\% of 6262 to find the exact value.\newlineCalculation: 0.76×62=47.120.76 \times 62 = 47.12
  3. Evaluate choices: Evaluate each choice to see which is closest to 47.1247.12.\newlineCalculation for (A): (13)×64=21.33(\frac{1}{3}) \times 64 = 21.33\newlineCalculation for (B): (14)×64=16(\frac{1}{4}) \times 64 = 16\newlineCalculation for (C): (34)×64=48(\frac{3}{4}) \times 64 = 48\newlineCalculation for (D): (12)×64=32(\frac{1}{2}) \times 64 = 32
  4. Compare results: Compare the results from Step 33 to 47.1247.12.\newlineObservation: 4848 (from choice C) is closest to 47.1247.12.

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