To find out how many pints of strawberries Ricardo used to make jam, we first need to calculate \( \frac{4}{5} \) of the \( 3 \frac{1}{2} \) pints of strawberries he picked.
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Convert \( 3 \frac{1}{2} \) to an improper fraction: \[ 3 \frac{1}{2} = 3 \times 2 + 1 = 6 + 1 = 7 \text{ (so, it becomes } \frac{7}{2}\text{)} \]
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Now, we will find \( \frac{4}{5} \) of \( \frac{7}{2} \): \[ \frac{4}{5} \times \frac{7}{2} = \frac{4 \times 7}{5 \times 2} = \frac{28}{10} \]
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Next, simplify \( \frac{28}{10} \): \[ \frac{28 \div 2}{10 \div 2} = \frac{14}{5} \]
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Now convert \( \frac{14}{5} \) back to a mixed number: \[ 14 \div 5 = 2 \quad \text{(with a remainder of 4)} \] This means \( \frac{14}{5} = 2 \frac{4}{5} \).
Thus, Ricardo used \( 2 \frac{4}{5} \) pints of strawberries to make jam.
So the final answer is \( 2 \frac{4}{5} \) pints.