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Divide. Write your answer in simplest form. (9)/(2)÷(1)/(4)=?

Divide.\newlineWrite your answer in simplest form.\newline92÷14=? \frac{9}{2} \div \frac{1}{4}=?

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Full solution

Q. Divide.\newlineWrite your answer in simplest form.\newline92÷14=? \frac{9}{2} \div \frac{1}{4}=?
  1. Divide Fractions: First, we need to divide the fractions (92)(\frac{9}{2}) by (14)(\frac{1}{4}). To do this, we multiply by the reciprocal of the second fraction.\newlineCalculation: (92)×(41)(\frac{9}{2}) \times (\frac{4}{1})
  2. Multiply Numerators and Denominators: Now, multiply the numerators and denominators.\newlineCalculation: 9×4=369 \times 4 = 36 and 2×1=22 \times 1 = 2
  3. Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newlineCalculation: 362=18\frac{36}{2} = 18

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