[tex] \dfrac{1}{4} \div \dfrac{2}{4} [/tex]
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Change the divide fraction to multiplication fraction :
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[tex] \dfrac{1}{4} \times \dfrac{4}{2} [/tex]
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Combine into single fraction :
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[tex] \dfrac{4}{8} [/tex]
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Reduce to simplest form :
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[tex] \dfrac{4 \div 4}{8 \div 4} = \dfrac{1}{2} [/tex]