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Divide. \newline45÷49=\frac{4}{5}\div\frac{4}{9}=_____

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Q. Divide. \newline45÷49=\frac{4}{5}\div\frac{4}{9}=_____
  1. Divide and Multiply: What is the multiplication form of 45÷49\frac{4}{5} \div \frac{4}{9}?\newlineDividing by a number is the same as multiplying by its reciprocal.\newline45÷49=45×94\frac{4}{5} \div \frac{4}{9} = \frac{4}{5} \times \frac{9}{4}
  2. Calculate Multiplication: Multiply 45×94\frac{4}{5} \times \frac{9}{4}.\newline45×94=(4×95×4)=3620\frac{4}{5} \times \frac{9}{4} = \left(\frac{4 \times 9}{5 \times 4}\right) = \frac{36}{20}
  3. Simplify Fraction: Simplify the fraction 3620\frac{36}{20}. \newline3620\frac{36}{20} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 44. \newline3620=(36÷4)(20÷4)=95\frac{36}{20} = \frac{(36 \div 4)}{(20 \div 4)} = \frac{9}{5}

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