Bài 3 : Tính
a) A = \(\frac{3}{4}\) .\(\frac{8}{9}\) . \(\frac{15}{16}\) . ... . \(\frac{9999}{10000}\)
b) B = \(\frac{8}{9}\) . \(\frac{15}{16}\) . \(\frac{24}{25}\) . ... . \(\frac{3599}{3600}\)
Bài 4 :
Cho : A = \(\frac{1}{2}\).\(\frac{3}{4}\) . \(\frac{5}{6}\) . ... . \(\frac{9999}{10000}\)
B = \(\frac{1}{100}\)
So sánh A và B
tích mình đi
làm ơn
rùi mình
tích lại
thanks
a)\(\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.....\frac{9999}{10000}=\)\(\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.....\frac{99.101}{100.100}=\frac{101}{2.100}=\frac{101}{200}\)
b)\(\frac{8}{9}.\frac{15}{16}.\frac{24}{25}.....\frac{3599}{3600}=\frac{2.4}{3.3}.\frac{3.5}{4.4}.\frac{4.6}{5.6}.....\frac{59.61}{60.60}=\frac{2.61}{60}=\frac{61}{30}\)