Question

3/2 x 4/3 x 5/4 x ...... x 10/9

Answer 1

\(\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times...\times\dfrac{10}{9}\)

\(=\dfrac{3\times4\times5\times...\times10}{2\times3\times4\times...\times9}\)

\(=\dfrac{10}{2}=5\)

Answer 2

\(\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times...\times\dfrac{10}{9}\)

\(=\dfrac{10}{2}=5\)

Answer 3

\(\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\cdot\cdot\cdot\times\dfrac{10}{9}\)

\(=\dfrac{3\times4\times5\times\cdot\cdot\cdot\times9\times10}{2\times3\times4\times\cdot\cdot\cdot\times9}\)

\(=\dfrac{10}{2}\)

\(=5\)