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Divide. \newline14÷12\frac{1}{4}\div\frac{1}{2}

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Q. Divide. \newline14÷12\frac{1}{4}\div\frac{1}{2}
  1. Multiply fractions by reciprocal: To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. 14÷12=14×21\frac{1}{4} \div \frac{1}{2} = \frac{1}{4} \times \frac{2}{1}
  2. Multiply numerators and denominators: Now, we multiply the numerators and the denominators separately.\newline14×21=(1×2)(4×1)=24\frac{1}{4} \times \frac{2}{1} = \frac{(1 \times 2)}{(4 \times 1)} = \frac{2}{4}
  3. Simplify the fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22. \newline24=(2÷2)(4÷2)=12\frac{2}{4} = \frac{(2 \div 2)}{(4 \div 2)} = \frac{1}{2}

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