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Divide. Write your answer in simplest form. (a) \( 5 \div \frac{1}{12}=\square \) (b) \( \frac{1}{12} \div 5=\square \)

Ask by Ross Mills. in the United States
Mar 21,2025

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**(a)** \( 5 \div \frac{1}{12} = 60 \) **(b)** \( \frac{1}{12} \div 5 = \frac{1}{60} \)

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To tackle (a), when you divide by a fraction, you can multiply by its reciprocal. So, \( 5 \div \frac{1}{12} \) becomes \( 5 \times 12 \), which equals 60. Thus, \( 5 \div \frac{1}{12} = 60 \). For (b), using the same principle, \( \frac{1}{12} \div 5 \) can be rewritten as \( \frac{1}{12} \times \frac{1}{5} \). This results in \( \frac{1}{60} \). Hence, \( \frac{1}{12} \div 5 = \frac{1}{60} \).

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