Question

Rút gọn biểu thức A = \(\frac{3}{4}\times\frac{8}{9}\times\frac{15}{16}\times\frac{24}{25}\times...\times\frac{899}{900}\) ta được A =?

Answer 1

\(A=\frac{3x8x15x24x.....x899}{4x9x16x25x.....x900}\)

Answer 2

A=3/4x8/9x15/16x24/25x...x899/900

A=1.3/2² x 2.4/3³ x 3.5/4² x 4.6/5⁵ x ... x 29.31/30²

A=1.2.3.4...29/2.3.4.5...30 x 3.4.5.6...31/2.3.4.5...30

A=1/30 x 31/2

A=31/60

Answer 3

A=3/4x8/9x15/16x24/25x...x899/900

A=1.3/2² x 2.4/3³ x 3.5/4² x 4.6/5⁵ x ... x 29.31/30²

A=1.2.3.4...29/2.3.4.5...30 x 3.4.5.6...31/2.3.4.5...30

A=1/30 x 31/2

A=31/60