Question

Tính P= \(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}..........\frac{9999}{10000}\)

Answer 1

P=1.3/2.2 . 2.4/3.3 . 3.5/4.4 ... . 99.101/100.100

P=1.2.3....99/2.3.4...100 . 3.4.5...101/2.3.4...100

P=1/100 . 101/2

P=101/200

Answer 2

p=101/200

Answer 3

P = \(\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{99.101}{100.100}\)

P = \(\frac{1.2.3...99}{2.3.4...100}.\frac{3.4.5...101}{2.3.4...100}\)

P = \(\frac{1}{100}.\frac{101}{2}\)

P = \(\frac{101}{200}\)

Answer 4

P=1.3/2.2 . 2.4/3.3 . 3.5/4.4... . 99.101/100.100

P=1.2.3....99/2.3.4...100 . 3.4.5...101/2.3.4...100

P=1/100 . 101/2

P=101/200