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Ta có : \(\frac{45}{65}=\frac{9}{13};\frac{48}{52}=\frac{12}{13};\frac{1010}{1313}=\frac{10}{13}\)
\(=>\frac{9}{13}< \frac{10}{13}< \frac{12}{13}\)
Từ bé đến lớn : 13/14;14/15;15/16;16/17;17/18;18/19;19/20
Chúc bạn học tốt nhé!!!
Ta có :
\(\frac{1313}{9191}\)= \(\frac{1}{7}\)= \(\frac{11}{77}\)
\(\frac{1111}{7373}\)= \(\frac{11}{73}\)
Vì \(\frac{11}{77}\)< \(\frac{11}{73}\)( 77>73)
=> \(\frac{1313}{9191}\)> \(\frac{1111}{7373}\)
\(\frac{1313}{9191}=\frac{1}{7}=\frac{1.11}{7.11}=\frac{11}{77}\)
\(\frac{1111}{7373}=\frac{11}{73}\)
\(\Rightarrow\frac{11}{77}< \frac{11}{73}\Rightarrow\frac{1313}{9191}>\frac{1111}{7373}\)
21/70=3/10
60/75=80/100
14/35=40/100
107/125=856/1000
75/300=25/100
46/500=92/1000
8/9 = 8x3/9x3=24/27
12/13 = 12x2/13x2=24/26
Vậy 24/26 > 24/27
12/36 = 12x5/35x5 = 60/175
15/60=15x4/60x4 = 60/240
60/175 > 60/240 nên 12/36 > 15/60
\(a.\frac{8}{9}và\frac{12}{13}\)
\(\frac{8}{9}=\frac{8\times3}{9\times3}=\frac{24}{27}vả\frac{12}{13}=\frac{12\times2}{13\times2}=\frac{24}{26}\)
\(Vì\frac{24}{27}< \frac{24}{26}nên\frac{8}{9}< \frac{12}{13}\)
\(b.\frac{12}{36}và\frac{15}{60}\)
\(\frac{12}{36}=\frac{12\div4}{36\div4}=\frac{3}{9}và\frac{15}{60}=\frac{15\div5}{60\div5}=\frac{3}{12}\)
\(Vì\frac{3}{9}>\frac{3}{12}nên\frac{12}{36}>\frac{15}{60}\)
Ta thấy \(\frac{2}{3\times3},\frac{2}{5\times5},\frac{2}{7\times7},\frac{2}{9\times9}>0\)
\(\frac{2}{3\times3}=\frac{2}{9}=\frac{10}{45}>\frac{1}{45}\)
\(\Rightarrow M=\frac{2}{3\times3}+\frac{2}{5\times5}+\frac{2}{7\times7}+\frac{2}{9\times9}>\frac{1}{45}\)
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 \(\frac{45}{65}< \frac{48}{52}>\frac{1010}{1313}\)