a: \(\frac{23}{35}<\frac{23,1}{35}=0,66\)

\(0,66=\frac{20,46}{31}<\frac{21}{31}\)

Do đó: \(\frac{23}{35}<\frac{21}{31}\)

b: \(\frac{-17}{24}<\frac{-16}{24}=\frac{-2}{3}\)

\(\frac{-2}{3}=\frac{-13}{19,5}<\frac{-13}{28}\)

Do đó: \(-\frac{17}{24}<-\frac{13}{28}\)

c: \(\frac{9}{16}>\frac{8}{16}=\frac12;\frac12=\frac{12}{24}>\frac{11}{24}\)

Do đó: \(\frac{9}{16}>\frac{11}{24}\)

12/35 lớn hơn

\(\frac{13}{40}\)->   40 - 13=37

\(\frac{12}{35}\)->  35-12=23

Vậy \(\frac{13}{14}\)>    \(\frac{12}{35}\)

\(\frac{13}{40}< \frac{13}{39}=\frac{1}{3}=\frac{12}{36}< \frac{12}{35}\)

\(\Rightarrow\frac{13}{40}< \frac{12}{35}\)

\(\frac{13}{40}< \frac{12}{35}\)( Vì 0,325 < 0,343) 

23 / 36 < 28/35

vì 35 > 36 và 28 > 23 => 23/36 < 28/35
 

28/35 lon hon 23/36

ta thay : 19/18 - 1 = 1/18            ; 18/17 - 1 = 1 /17

ta co : 1/17 >1/18 nen 19/18 > 18/17

day la phuong phap phan hon, ban co the su dung phuong phap phan so trung gian de giai

Ta thấy : 19/18 - 1 = 1/18 

18/17 - 1 = 1/17 

Ta có : 1/18 < 1/17 nên 19/18 > 18/17

\(\frac{46}{45}=1+\frac{1}{45},\frac{2012}{2011}=1+\frac{1}{2011}\)

Có \(2011>45>0\Rightarrow\frac{1}{45}>\frac{1}{2011}\)

Do đó \(\frac{46}{45}>\frac{2012}{2011}\).

\(\frac{2011}{2010}>1>\frac{16}{17}\).

a) \(1-\frac{13}{17}=\frac{4}{17}\) và \(1-\frac{15}{19}=\frac{4}{19}\)

Vì \(\frac{4}{17}>\frac{4}{19}\)nên \(\frac{13}{17}>\frac{15}{19}\)

b) \(\frac{12}{48}=\frac{1}{4}\) và \(\frac{9}{36}=\frac{1}{4}\)

Vì \(\frac{1}{4}=\frac{1}{4}\)nên \(\frac{12}{48}=\frac{9}{36}\)

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