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Which is the most accurate way to estimate 73%73\% of 5757?\newlineChoices:\newline(A) 14×56\frac{1}{4} \times 56\newline(B) 12×56\frac{1}{2} \times 56\newline(C) 34×56\frac{3}{4} \times 56\newline(D) 13×56\frac{1}{3} \times 56

Full solution

Q. Which is the most accurate way to estimate 73%73\% of 5757?\newlineChoices:\newline(A) 14×56\frac{1}{4} \times 56\newline(B) 12×56\frac{1}{2} \times 56\newline(C) 34×56\frac{3}{4} \times 56\newline(D) 13×56\frac{1}{3} \times 56
  1. Convert to decimal: Convert 73%73\% to a decimal for easier calculation.\newlineCalculation: 73%=0.7373\% = 0.73
  2. Multiply by 5757: Multiply 0.730.73 by 5757 to find the exact value.\newlineCalculation: 0.73×57=41.610.73 \times 57 = 41.61
  3. Compare with choices: Compare the exact value with the choices provided.\newlineCalculation: \newline(A) 14×56=14\frac{1}{4} \times 56 = 14\newline(B) 12×56=28\frac{1}{2} \times 56 = 28\newline(C) 34×56=42\frac{3}{4} \times 56 = 42\newline(D) 13×56=18.67\frac{1}{3} \times 56 = 18.67
  4. Identify closest estimate: Identify the closest estimate to 41.6141.61. Calculation: Choice (C) 34×56=42\frac{3}{4} \times 56 = 42 is closest to 41.6141.61.

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