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a: \(\dfrac{-5}{6}=\dfrac{-20}{24};\dfrac{7}{8}=\dfrac{21}{24};\dfrac{7}{24}=\dfrac{7}{24};\dfrac{-3}{4}=-\dfrac{18}{24};\dfrac{2}{3}=\dfrac{16}{24}\)

Do đó: \(\dfrac{-5}{6}< -\dfrac{3}{4}< \dfrac{7}{24}< \dfrac{2}{3}< \dfrac{7}{8}\)

\(\dfrac{7}{8}=\dfrac{119}{136};\dfrac{16}{17}=\dfrac{128}{136}\)

mà 119<128

nên 7/8<16/17

DO đó: -5/6<-3/4<7/24<2/3<7/8<16/17

b: \(\dfrac{-5}{8}=\dfrac{-95}{8\cdot19};\dfrac{-16}{19}=\dfrac{-128}{19\cdot8}\)

Do đó: -5/8>-16/19

\(\dfrac{7}{10}=0.7;\dfrac{20}{23}\simeq0.87;\dfrac{214}{315}\simeq0.68;\dfrac{205}{107}>1\)

Do đó: \(\dfrac{205}{107}>\dfrac{20}{23}>\dfrac{7}{10}>\dfrac{214}{315}>-\dfrac{5}{8}>-\dfrac{16}{19}\)

a) \(\dfrac{-5}{6}=\dfrac{-340}{408}\);\(\dfrac{7}{8}=\dfrac{357}{408}\);\(\dfrac{7}{24}=\dfrac{119}{408}\)

\(\dfrac{16}{17}=\dfrac{384}{408}\)\(\dfrac{-3}{4}=\dfrac{-306}{408}\)\(\dfrac{2}{3}=\dfrac{272}{408}\)

Do đó: \(\dfrac{-5}{6}< \dfrac{-3}{4}< \dfrac{7}{24}< \dfrac{2}{3}< \dfrac{7}{8}< \dfrac{16}{17}\)

 

12 tháng 2 2018

\(\dfrac{205}{107}\),\(\dfrac{20}{23}\),\(\dfrac{7}{10}\),\(\dfrac{214}{315}\),\(\dfrac{-5}{8}\),\(\dfrac{-16}{19}\)

a: \(\dfrac{-7}{12}=\dfrac{-7\cdot5}{12\cdot5}=\dfrac{-35}{60};\dfrac{-1}{-15}=\dfrac{1}{15}=\dfrac{4}{60};\dfrac{-5}{4}=\dfrac{-5\cdot15}{4\cdot15}=-\dfrac{75}{60}\)

\(\dfrac{3}{-5}=\dfrac{-3}{5}=\dfrac{-3\cdot12}{5\cdot12}=-\dfrac{36}{60}\)

mà -75<-36<-35<4

nên \(-\dfrac{75}{60}< -\dfrac{36}{60}< -\dfrac{35}{60}< \dfrac{4}{60}\)

=>\(\dfrac{-5}{4}< \dfrac{3}{-5}< \dfrac{-7}{12}< \dfrac{-1}{-15}\)

b: \(\dfrac{-8}{25}+\dfrac{22}{23}+\dfrac{-17}{25}\)

\(=\left(-\dfrac{8}{25}-\dfrac{17}{25}\right)+\dfrac{22}{23}\)

\(=-1+\dfrac{22}{23}=-\dfrac{1}{23}\)

21 tháng 2 2023

MSC : `840`

`-5/8=-5.105/8.105=-525/840`

`7/10=7.84/10.84=588/840`

`-16/14=-16.60/14.60=-960/840`

`23/24=23.35/24.35=805/840`

`-1=-840/840`

Sắp xếp các phân số sau theo thứ tự giảm dần:

`805/840;588/840;-525/840;-840;-960/840`

18 tháng 3 2023

-2/3; 1/-3; 3/5; 4/5; -8/-7

21 tháng 2 2023

MSC : `24`

`-5/6=-5.4/6.4=-20/24`

`7/8=7.3/8.3=21/24`

`7/24=7/24`

`-3/4=-3.6/4.6=-18/24`

`2/3=2.8/3.8=16/24`

`1=24/24`

Sắp xếp các phân số sau theo thứ tự tăng dần : 

`-20/24;-18/24;7/24;16/24;21/24;24/24`

29 tháng 1 2022

a)\(\dfrac{-5}{6};\dfrac{-3}{4};\dfrac{7}{24};\dfrac{2}{3};\dfrac{7}{8};\dfrac{16}{17}\)

b)\(\dfrac{20}{23};\dfrac{205}{107};\dfrac{214}{315};\dfrac{7}{10};\dfrac{-5}{8};\dfrac{-16}{19}\)

9 tháng 2 2019

a) Tăng dần : 16/17; 7/8; 2/3; 7/24; -3/4; -5/6

\(\dfrac{-1}{2}=\dfrac{-9}{18};\dfrac{-5}{9}=\dfrac{-10}{18};\dfrac{-1}{3}=\dfrac{-6}{18}\)

mà -10<-9<-6<0

nên \(-\dfrac{5}{9}< -\dfrac{1}{2}< -\dfrac{1}{3}< 0\)(1)

Ta có: \(\dfrac{5}{12}=\dfrac{15}{36};\dfrac{7}{18}=\dfrac{14}{36};\dfrac{1}{3}=\dfrac{12}{36}\)

mà \(0< \dfrac{12}{36}< \dfrac{14}{36}< \dfrac{15}{36}\)

nên \(0< \dfrac{1}{3}< \dfrac{7}{18}< \dfrac{5}{12}\left(2\right)\)

Từ (1),(2) suy ra \(-\dfrac{5}{9}< -\dfrac{1}{2}< -\dfrac{1}{3}< \dfrac{1}{3}< \dfrac{7}{18}< \dfrac{5}{12}\)