-2019<0<1/2018

-19/18<-1<-2018/2019

\(\dfrac{97}{100}\)  và \(\dfrac{98}{99}\)

\(\dfrac{97}{100}=\dfrac{97\times99}{100\times99}=\dfrac{9603}{9900}\)

\(\dfrac{98}{99}=\dfrac{98\times100}{99\times100}=\dfrac{9800}{9900}\)

Vì: \(9603< 9800\)  nên => \(\dfrac{97}{100}< \dfrac{98}{99}\)

\(\dfrac{13}{17}\)  và \(\dfrac{131}{171}\)

\(\dfrac{13}{17}=\dfrac{13\times171}{17\times171}=\dfrac{2223}{2907}\)

\(\dfrac{131}{171}=\dfrac{131\times17}{171\times17}=\dfrac{2227}{2907}\)

Vì: \(2227>2223\)  nên: => \(\dfrac{13}{17}< \dfrac{131}{171}\)

\(\dfrac{51}{61}\)  và \(\dfrac{515}{616}\)

\(\dfrac{51}{61}=\dfrac{51\times616}{61\times616}=\dfrac{31416}{37576}\)

\(\dfrac{515}{616}=\dfrac{515\times61}{616\times61}=\dfrac{31415}{37576}\)

Vì: \(31416>31415\)  Nên => \(\dfrac{51}{61}>\dfrac{515}{616}\)

a/

$\frac{97}{100}< \frac{98}{100}< \frac{98}{99}$

c/

$\frac{131}{171}=1-\frac{40}{171}> 1-\frac{40}{170}=1-\frac{4}{17}=\frac{13}{17}$
d/

$\frac{51}{61}=1-\frac{10}{61}=1-\frac{100}{610}$

$\frac{515}{616}=1-\frac{101}{616}$

Xét hiệu:

$\frac{100}{610}-\frac{101}{616}=\frac{100.616-101.610}{610.616}$

$=\frac{100(610+6)-101.610}{610.616}$

$=\frac{600-610}{610.616}<0$

$\Rightarrow \frac{100}{610}< \frac{101}{616}$

$\Rightarrow 1-\frac{100}{610}> 1-\frac{101}{616}$

$\Rightarrow \frac{51}{61}> \frac{515}{616}$ 

1. \(G=2016.2016=\left(2014+2\right)\left(2018-2\right)=2014.2018-4028+4036-4=2014.2018+4\)

vì 2014.2018+4 >2014.2018

=> G>H

\(\frac{2016.2016}{2013.2019}=\frac{\left(2013+3\right)\left(2019-3\right)}{2013.2019}=\frac{2013.2019-6039+6057-9}{2013.2019}=\frac{2013.2019+9}{2013.2019}=1+\frac{9}{2013.2019}\)

vì \(1+\frac{9}{2013.2019}>1\)

\(\frac{2016.2016}{2013.2019}>1\)

Bài 1 : 

1) Ta có : \(\frac{19}{18}=1+\frac{1}{18}\)

               \(\frac{2019}{2018}=1+\frac{1}{2018}\)

Vì \(\frac{1}{18}>\frac{1}{2018}\)

Nên : \(\frac{19}{18}>\frac{2019}{2018}\)

a: 7/8>210/243

b: 11/15<13/14

c: 31/41<313/413

d: 18/53<26/78

a) 56 /55 và 2018/2019

Ta có 56/55 > 1 ; 2018/2019 < 1

Do đó nên 56/55 > 2018/2019

b) 15/17 và 9/11

Ta có 15/17 = 0,88...

          9/11   = 0,81...

Vì 0,88...> 0,81....

nên 15/17 > 9/11

c) 11/31 và 111 / 311

Ta có : 11/31 : 111/311 = 3421/3441

Vì 3421/3441 < 1

nên 11/31 < 111/311

d) 18/109 và 5/30

Ta có : 18/109 = 0,165....

            5/30     = 0,166...

Vì 0,165...< 0,166...

nên 18/109 < 5/30

mọi người ơiii ! giải giúp em với ạ :(((

1.

a) \(-\frac{15}{17}>-\frac{19}{21}\)

b)\(-\frac{13}{19}>-\frac{19}{23}\)

c)\(-\frac{23}{49}>-\frac{25}{47}\)

d)\(\frac{317}{633}>\frac{371}{743}\)

e)\(-\frac{24}{35}< -\frac{19}{30}\)

f)\(\frac{12}{17}< \frac{13}{18}\)

g) \(-\frac{17}{26}< -\frac{16}{27}\)

h) \(\frac{84}{-83}< -\frac{337}{331}\)

i) \(-\frac{1941}{1931}< -\frac{2011}{2001}\)

j) \(-\frac{1930}{1945}>-\frac{1996}{2001}\)

k) \(\frac{37}{59}< \frac{47}{59}\)

I) \(-\frac{25}{124}>-\frac{27}{100}\)

m) \(-\frac{97}{201}>-\frac{194}{309}\)

n) \(-\frac{189}{398}< -\frac{187}{394}\)

o) \(-\frac{289}{403}>-\frac{298}{401}\)