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#)Giải :
\(1\frac{1}{3}\times1\frac{1}{8}\times1\frac{1}{15}\times...\times1\frac{1}{9800}\)
\(=\frac{4}{3}\times\frac{9}{8}\times\frac{16}{15}\times...\times\frac{9801}{9800}\)
\(=\frac{2.2}{1.3}\times\frac{3.3}{2.4}\times\frac{4.4}{3.5}\times...\times\frac{99.99}{98.100}\)
\(=\frac{2.3.4.....99}{1.2.3.....98}\times\frac{2.3.4.....99}{3.4.5.....100}\)
\(=99\times\frac{2}{100}=\frac{198}{100}=\frac{99}{50}\)
\(=\frac{4}{3}\times\frac{9}{8}\times\frac{16}{15}\times...\times\frac{9801}{9800}\)
\(=\frac{2.2}{1.3}\times\frac{3.3}{2.4}\times\frac{4.4}{3.5}\times...\times\frac{99.99}{98.100}\)
\(=\frac{2.3.4.5.....99}{1.2.3.4....98}\times\frac{2.3.4.5.....99}{3.4.5.6.....100}\)
\(=\frac{99}{1}\times\frac{2}{100}\)
\(=\frac{99}{50}\)
a) \(5+\dfrac{2}{3}=\dfrac{15}{3}+\dfrac{2}{3}=\dfrac{17}{3}\)
b) \(\dfrac{12}{5}\cdot\dfrac{1}{4}=\dfrac{3}{5}\)
c) \(\dfrac{3}{8}-\dfrac{1}{3}=\dfrac{9}{24}-\dfrac{8}{24}=\dfrac{1}{24}\)
d) \(\dfrac{6}{15}-\dfrac{1}{3}:\dfrac{5}{3}=\dfrac{6}{15}-\dfrac{1}{3}\cdot\dfrac{3}{5}=\dfrac{6}{15}-\dfrac{1}{5}=\dfrac{6}{15}-\dfrac{3}{15}=\dfrac{3}{15}=\dfrac{1}{5}\)
\(5+\dfrac{2}{3}=\dfrac{5}{1}+\dfrac{2}{3}=\dfrac{15}{3}+\dfrac{2}{3}=\dfrac{17}{9};\dfrac{12}{5}x\dfrac{1}{4}=\dfrac{12}{40};\dfrac{3}{8}-\dfrac{1}{3}=\dfrac{9}{24}-\dfrac{8}{24}=\dfrac{1}{24}\)