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(1) Which multiplication equation can you use to find \( 5 \div \frac{1}{3} \) ? \begin{tabular}{|l|l|l|}\hline \( 1 \times 3=3 \) & \( 3 \times \frac{1}{5}=\frac{3}{5} \) & \( 5 \times 3=15 \) \\ \( 5 \times \frac{1}{3}=\frac{5}{3} \) \\ \hline\end{tabular}

Ask by Phillips Edwards. in the United States
Mar 17,2025

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Answer

To find \( 5 \div \frac{1}{3} \), multiply 5 by 3, which equals 15.

Solution

To solve \( 5 \div \frac{1}{3} \), we use the rule of dividing by a fraction which is equivalent to multiplying by its reciprocal. The reciprocal of \(\frac{1}{3}\) is \(3\), so: \[ 5 \div \frac{1}{3} = 5 \times 3. \] Thus, the correct multiplication equation from the options is: \[ 5 \times 3 = 15. \]

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To solve \( 5 \div \frac{1}{3} \), you can use the equation \( 5 \times 3 = 15 \). This is because dividing by a fraction is the same as multiplying by its reciprocal. In this case, the reciprocal of \( \frac{1}{3} \) is \( 3 \), so you multiply \( 5 \) by \( 3 \) to get \( 15 \). A common mistake is to simply multiply \( 5 \) and \( \frac{1}{3} \) together, which would actually give you \( \frac{5}{3} \) instead. Remember, to divide by a fraction, always change it to multiplication by its reciprocal! This little twist can save you heaps of frustration in math!

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