Question

4/3*9/8*16/15*25/24*36/35*49/48*64/63*81/80

Answer 1

\(\frac{4}{3}\times\frac{9}{8}\times...\times\frac{81}{80}=\frac{2^2}{1\times3}\times\frac{3^2}{2\times4}\times...\times\frac{9^2}{8\times10}\)

\(=\frac{2\times3\times4\times...\times9}{1\times2\times3\times...\times8}\times\frac{2\times3\times4\times...\times9}{3\times4\times5\times...\times10}\\ =\frac{9}{1}\times\frac{2}{10}=\frac{9}{5}\)

Answer 2

4/3.9/8.16/15.25/24.36/35.49/48.64/63.81/80

=3/2.16/15.25/24.36/35.49/48.64/63.81/80

=5/3.36/35.49/48.64/63.81/80

=7/4.64/63.81/80

=9/5

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