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Ta có : \(\frac{45}{65}=\frac{9}{13};\frac{48}{52}=\frac{12}{13};\frac{1010}{1313}=\frac{10}{13}\)
\(=>\frac{9}{13}< \frac{10}{13}< \frac{12}{13}\)

21/70=3/10
60/75=80/100
14/35=40/100
107/125=856/1000
75/300=25/100
46/500=92/1000

a) \(\frac{5}{6}\)= \(\frac{15}{18}\); b) \(\frac{99}{100}\)< \(\frac{100}{99}\); c ) \(\frac{15}{17}\)> \(\frac{13}{18}\)vì \(\frac{15}{17}\)> \(\frac{15}{18}\)> \(\frac{13}{18}\);
d) \(\frac{222}{333}\)= \(\frac{2}{3}\)\(=1-\frac{1}{3}\); \(\frac{3333}{4444}\)= \(\frac{3}{4}\)= \(1-\frac{1}{4}\); vì \(\frac{1}{3}\)> \(\frac{1}{4}\)nên \(\frac{222}{333}\)< \(\frac{3333}{4444}\)
e) \(\frac{292929}{272727}\)= \(\frac{29}{27}\)= \(1+\frac{2}{17}\); \(\frac{347347}{345345}\)= \(\frac{347}{345}\)= \(1+\frac{2}{345}\)nên \(\frac{292929}{272727}\)> \(\frac{347347}{345345}\)

\(\frac{22}{7}\)> \(\frac{11}{5}\)vì 22 : 7 = 3,14 ; 11: 5 = 2,2
\(\frac{15}{59}\)< \(\frac{24}{97}\)vì 15 : 59 = 0,21 ; 24 : 97 = 0,24
\(\frac{11}{19}\)< \(\frac{13}{18}\)vì 11 : 19 = 0,57 ; 13 : 18 = 0,72
\(\frac{7}{10}\)> \(\frac{4}{9}\)vì 7 : 10 = 0,7 ; 4 : 9 = 0,44

\(B=\frac{2}{8}+\frac{2}{24}+\frac{2}{48}+...+\frac{2}{18\cdot20}\)
\(B=\frac{2}{2\cdot4}+\frac{2}{4\cdot6}+\frac{2}{6\cdot8}+...+\frac{2}{18\cdot20}\)
\(B=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{18}-\frac{1}{20}\)
\(B=\frac{1}{2}-\frac{1}{20}\)
\(B=\frac{9}{20}\)
=))
\(A=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\)
\(A=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\)
\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(A=\frac{1}{2}+\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{1}{4}-\frac{1}{4}\right)+...+\left(\frac{1}{9}-\frac{1}{9}\right)-\frac{1}{10}\)
\(A=\frac{1}{2}-\frac{1}{10}=\frac{2}{5}\)

a) 6/7 = 120/ 140
Vì 120/140 < 120/137 nên 6/7 < 120/137
b)18/75 = 6/25 ; 28/112 = 1/4
Vì 6/25 : 1/4 = 24/25 nên 18/75 < 28/112
c)Ta có: 1 - 17/20 = 3/20 ; 1 - 22/25 = 3/25
Vì 3/20 > 3/25 nên 17/20 < 22/25
mik nha
a) Rút gọn phân số: \(\frac{14}{35}=\frac{14:7}{35:7}=\frac{2}{5};\frac{18}{45}=\frac{18:9}{45:9}=\frac{2}{5};\frac{24}{60}=\frac{24:12}{60:12}=\frac{2}{5}\)
Vậy, \(\frac{14}{35}=\frac{18}{45}=\frac{24}{60}\)
b) Rút gọn phân số: \(\frac{45}{65}=\frac{45:5}{65:5}=\frac{9}{13};\frac{48}{52}=\frac{48:4}{52:4}=\frac{12}{13};\frac{1010}{1313}=\frac{1010:101}{1313:101}=\frac{10}{13}\)
Vậy, \(\frac{45}{65}< \frac{1010}{1313}< \frac{48}{52}\)
\(\frac{14}{35}=\frac{2}{5}\);\(\frac{18}{45}=\frac{2}{5}\);\(\frac{24}{60}=\frac{2}{5}\)
\(\Leftrightarrow\frac{2}{5}=\frac{2}{5}=\frac{2}{5}\)
vậy\(\frac{14}{35}=\frac{18}{45}=\frac{24}{60}\)
b)\(\frac{45}{65}=\frac{9}{13};\frac{48}{52}=\frac{12}{13};\frac{1010}{1313}=\frac{10}{13}\)
\(\Leftrightarrow\frac{9}{13}< \frac{12}{13}>\frac{10}{13}\)
vậy \(\frac{45}{65}< \frac{48}{52}>\frac{1010}{1313}\)