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Estimate. Which sign makes the statement true?\newline1,54423÷3351,544\frac{2}{3} \div \frac{33}{5} ?\text{?} 893893\newlineChoices:\newline(A) >\newline(B) <

Full solution

Q. Estimate. Which sign makes the statement true?\newline1,54423÷3351,544\frac{2}{3} \div \frac{33}{5} ?\text{?} 893893\newlineChoices:\newline(A) >>\newline(B) <<
  1. Convert to Improper Fraction: Convert mixed number 1,544231,544\frac{2}{3} to an improper fraction. 1,54423=1,544+23=(1,544×3+2)/3=(4,632+2)/3=4,634/31,544\frac{2}{3} = 1,544 + \frac{2}{3} = (1,544 \times 3 + 2)/3 = (4,632 + 2)/3 = 4,634/3
  2. Convert to Improper Fraction: Convert 335\frac{33}{5} to an improper fraction, which is already in that form.
  3. Perform Division: Perform the division of the two improper fractions: (4,634/3)÷(33/5)=(4,634/3)×(5/33)=23,170/99(4,634/3) \div (33/5) = (4,634/3) \times (5/33) = 23,170/99
  4. Simplify Result: Simplify 23,170/9923,170/99 by dividing both numerator and denominator by their GCD, which is 11, so 23,170/99=23423,170/99 = 234

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