Find the product and write it in lowest terms as needed. \( 5 \cdot 1 \frac{3}{20} \) \( 5 \cdot 1 \frac{3}{20}=\square \) (Simplify your answer. Type a whole number, fraction, or mixed number.)

To find the product of \( 5 \) and \( 1 \frac{3}{20} \), first convert the mixed number into an improper fraction. \( 1 \frac{3}{20} = \frac{20 \cdot 1 + 3}{20} = \frac{23}{20} \). Now, multiply: \( 5 \cdot \frac{23}{20} = \frac{5 \cdot 23}{20} = \frac{115}{20} \). Next, simplify \( \frac{115}{20} \). Both can be divided by 5: \( \frac{115 \div 5}{20 \div 5} = \frac{23}{4} \). Now convert this back to a mixed number: \( \frac{23}{4} = 5 \frac{3}{4} \). So, \( 5 \cdot 1 \frac{3}{20} = 5 \frac{3}{4} \).