To find out how many pints of strawberries Ricardo used to make jam, we need to calculate \( \frac{4}{5} \) of \( 3 \frac{1}{2} \) pints.
First, convert \( 3 \frac{1}{2} \) into an improper fraction:
\[ 3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2} \]
Now, we need to multiply \( \frac{4}{5} \) by \( \frac{7}{2} \):
\[ \frac{4}{5} \times \frac{7}{2} = \frac{4 \times 7}{5 \times 2} = \frac{28}{10} \]
Next, simplify \( \frac{28}{10} \):
\[ \frac{28}{10} = \frac{14}{5} \]
Now convert \( \frac{14}{5} \) back into a mixed number:
\[ 14 \div 5 = 2 \quad \text{(with a remainder of 4)} \]
This gives us:
\[ \frac{14}{5} = 2 \frac{4}{5} \]
So, Ricardo used \( 2 \frac{4}{5} \) pints of strawberries to make jam.
Final answer: \( 2 \frac{4}{5} \) pints