Question

Answer 1

`\(=\left(\dfrac{2}{2}+\dfrac{1}{2}\right)\left(\dfrac{3}{3}+\dfrac{1}{3}\right)\left(\dfrac{4}{4}+\dfrac{1}{4}\right)\left(\dfrac{5}{5}+\dfrac{1}{5}\right)\left(\dfrac{6}{6}+\dfrac{1}{6}\right)\left(\dfrac{7}{7}+\dfrac{1}{7}\right)\left(\dfrac{8}{8}+\dfrac{1}{8}\right)\left(\dfrac{9}{9}+\dfrac{1}{9}\right)\left(\dfrac{10}{10}+\dfrac{1}{10}\right)\)

\(=\dfrac{3}{2}.\dfrac{4}{3}.\dfrac{5}{4}.\dfrac{6}{5}.\dfrac{7}{6}.\dfrac{8}{7}.\dfrac{9}{8}.\dfrac{10}{9}.\dfrac{11}{10}\)

\(=\dfrac{3.4.5.6.7.8.9.10.11}{2.3.4.5.6.7.8.9.10}\)

\(=\dfrac{11}{2}\)