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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(4)÷(1)/(2) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline14÷12 \frac{1}{4} \div \frac{1}{2} \newlineAnswer:

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Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline14÷12 \frac{1}{4} \div \frac{1}{2} \newlineAnswer:
  1. Understand Division of Fractions: Understand the division of fractions.\newlineTo divide one fraction by another, you multiply the first fraction by the reciprocal of the second fraction.
  2. Find Reciprocal of Divisor: Find the reciprocal of the divisor 12\frac{1}{2}. The reciprocal of a fraction is obtained by swapping its numerator and denominator. So, the reciprocal of 12\frac{1}{2} is 21\frac{2}{1}.
  3. Multiply Fractions: Multiply the first fraction 14\frac{1}{4} by the reciprocal of the second fraction 21\frac{2}{1}.14×21=1×24×1=24\frac{1}{4} \times \frac{2}{1} = \frac{1\times2}{4\times1} = \frac{2}{4}
  4. Simplify Resulting Fraction: Simplify the resulting fraction.\newlineThe fraction 24\frac{2}{4} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newline24÷22=(22)/(42)=12\frac{2}{4} \div \frac{2}{2} = \left(\frac{2}{2}\right)\big/\left(\frac{4}{2}\right) = \frac{1}{2}

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