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Which is the most accurate way to estimate 34%34\% of 5353?\newlineChoices:\newline(A) 13×54\frac{1}{3} \times 54\newline(B) 23×54\frac{2}{3} \times 54\newline(C) 12×52\frac{1}{2} \times 52\newline(D) 34×52\frac{3}{4} \times 52

Full solution

Q. Which is the most accurate way to estimate 34%34\% of 5353?\newlineChoices:\newline(A) 13×54\frac{1}{3} \times 54\newline(B) 23×54\frac{2}{3} \times 54\newline(C) 12×52\frac{1}{2} \times 52\newline(D) 34×52\frac{3}{4} \times 52
  1. Convert to fraction: Step 11: Convert 34%34\% to a fraction for easier comparison with the choices.\newline34%=34100=175034\% = \frac{34}{100} = \frac{17}{50},
  2. Compare fractions: Step 22: Compare the fraction 1750\frac{17}{50} with the fractions in each choice to see which is closest.\newline(A) 13\frac{1}{3} of 54=543=1854 = \frac{54}{3} = 18\newline(B) 23\frac{2}{3} of 54=(2×54)/3=3654 = \left(2 \times 54\right)/3 = 36\newline(C) 12\frac{1}{2} of 52=522=2652 = \frac{52}{2} = 26\newline(D) 34\frac{3}{4} of $\(52\) = \left(\(3\) \times \(52\)\right)/\(4\) = \(39\),
  3. Calculate percentage: Step \(3\): Calculate \(34\%\) of \(53\) to find the exact value.\(\newline\)\(34\%\) of \(53\) = \((\frac{34}{100}) \times 53 = 18.02,\)
  4. Determine closest value: Step \(4\): Determine which choice is closest to \(18.02\). Comparing \(18\) (Choice A), \(36\) (Choice B), \(26\) (Choice C), and \(39\) (Choice D) with \(18.02\) shows that \(18\) is the closest value,

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