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Divide. (1)/(6)÷(2)/(9)= ◻ Submit

Divide.\newline16÷29= \frac{1}{6} \div \frac{2}{9}= \newline

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Full solution

Q. Divide.\newline16÷29= \frac{1}{6} \div \frac{2}{9}= \newline
  1. Convert to multiplication: Convert the division of fractions into a multiplication problem by multiplying by the reciprocal of the divisor.\newlineCalculation: (16)÷(29)=(16)×(92)(\frac{1}{6}) \div (\frac{2}{9}) = (\frac{1}{6}) \times (\frac{9}{2})
  2. Multiply numerators and denominators: Multiply the numerators and the denominators.\newlineCalculation: (1×9)/(6×2)=9/12(1 \times 9) / (6 \times 2) = 9 / 12
  3. Simplify the fraction: Simplify the fraction by finding the greatest common divisor (GCD) of 99 and 1212, which is 33.\newlineCalculation: 912=(9÷312÷3)=34\frac{9}{12} = \left(\frac{9 \div 3}{12 \div 3}\right) = \frac{3}{4}

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