Question

Calculează 1 1/2 * 1 1/3 *11/4 ..... 1/2021​

Answer 1

$1 \frac{1}{2} \cdot1 \frac{1}{3} \cdot1 \frac{1}{4} \cdot... \cdot1 \frac{1}{2021} \\ \\ = \frac{\sout3}{2} \cdot \frac{\sout4}{\sout3} \cdot \frac{\sout5}{\sout4} \cdot \frac{\sout6}{\sout5} \cdot .. . \cdot \frac{2022}{\sout{2021}} \\ \\ = \frac{2022}{2} \\ \\ = 1011$