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5)\(\left(\frac{11}{12}+\frac{11}{12.23}+...+\frac{11}{89.100}\right)+x=\)\(1\frac{2}{3}\)
\(\left(\frac{1}{1.12}+\frac{11}{12.23}+....+\frac{11}{89.100}\right)+x=\frac{5}{3}\)
\(\left(1-\frac{1}{12}+\frac{1}{12}-\frac{1}{23}+...+\frac{1}{89}-\frac{1}{100}\right)+x=\frac{5}{3}\)
\(\left(1-\frac{1}{100}\right)+x=\frac{5}{3}\)
\(\frac{99}{100}+x=\frac{5}{3}\)
\(x=\frac{5}{3}-\frac{99}{100}=\frac{203}{300}\)
câu 6
\(\left(\frac{3}{2}+\frac{7}{6}+\frac{13}{12}+....+\frac{421}{420}\right)-x=\frac{20}{21}\)
\(\left(1+\frac{1}{2}+1+\frac{1}{6}+1+\frac{1}{12}+..+1+\frac{1}{420}\right)-x=\frac{20}{21}\)
\(\left(1+1..+1\right)+\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{420}\right)\)\(-x=\frac{20}{21}\)
(1+1+...+1)+\(\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{20.21}\right)-x=\frac{20}{21}\)
1.20 +\(\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{20}-\frac{1}{21}\right)\)\(-x=\frac{20}{21}\)
\(20+\left(1-\frac{1}{21}\right)-x=\frac{20}{21}\)
\(20+\frac{20}{21}-x=\frac{20}{21}\)
20 - x =0
x=20
Ta có: 9688807264564840322416
bé nhất: 24440322416
lớn nhất: 98888432416