(1) Find the quotient. \( 3 \div \frac{2}{5}=\square \)
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Beyond the Answer
To find the quotient of \(3\) divided by \(\frac{2}{5}\), you need to multiply \(3\) by the reciprocal of \(\frac{2}{5}\). The reciprocal of \(\frac{2}{5}\) is \(\frac{5}{2}\). So, \(3 \times \frac{5}{2} = \frac{15}{2} = 7.5\). Now you know that \(3 \div \frac{2}{5} = 7.5\)! To visualize this, think of it as sharing 3 whole pizzas with friends, each friend coming to the table with a slice that represents \(\frac{2}{5}\) of a pizza. You’ll find that you could serve 7 full slices, plus half a slice left over, to your guests!
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