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Estimate. Which sign makes the statement true?\newline448÷616448 \div \frac{61}{6} ?? 3434\newlineChoices:\newline(A) >\newline(B) <

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Full solution

Q. Estimate. Which sign makes the statement true?\newline448÷616448 \div \frac{61}{6} ?? 3434\newlineChoices:\newline(A) >>\newline(B) <<
  1. Convert to multiplication: Convert the division by a fraction to multiplication by its reciprocal. 448÷(616)=448×(661)448 \div \left(\frac{61}{6}\right) = 448 \times \left(\frac{6}{61}\right)
  2. Perform multiplication: Perform the multiplication to simplify. 448×(661)=268861≈44.07448 \times \left(\frac{6}{61}\right) = \frac{2688}{61} \approx 44.07
  3. Compare with 3434: Compare the result with 3434.\newline44.07 > 34\newlineSince 44.0744.07 is greater than 3434, the correct sign is '>'.

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