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a) 12/37 < 19/54
b) 18/53 > 26/78
c) 13/79 < 34/204
d) 25/103 < 74/295
e) 58/63 < 36/55
g) 456/461 > 123/128
1. So sánh bằng cách nhanh nhất:
a. \(\frac{28}{31}>\frac{28}{33}\)
b.\(\frac{28}{81}>\frac{11}{34}\)
c. \(\frac{13}{11}>\frac{31}{32}\)
d. \(\frac{1994}{1995}>\frac{36}{37}\)
Giúp mình với!!!
a. \(\dfrac{10}{21}>1\)
\(\dfrac{9}{23}< 1\)
\(\Rightarrow\dfrac{10}{21}>\dfrac{9}{23}\)
b. \(\dfrac{32}{33}>\dfrac{31}{33}>\dfrac{31}{34}\Rightarrow\dfrac{32}{33}>\dfrac{31}{34}\)
c. \(\dfrac{44}{47}< \dfrac{45}{47}< \dfrac{45}{46}\Rightarrow\dfrac{44}{47}< \dfrac{45}{46}\)
\(d.\dfrac{70}{117}< \dfrac{70}{115}=\dfrac{14}{23}\Rightarrow\dfrac{70}{117}< \dfrac{14}{23}< \dfrac{15}{23}\)
\(\Rightarrow\dfrac{70}{117}< \dfrac{15}{23}\)
a: \(\dfrac{1}{4003}>0;0>-\dfrac{75}{106}\)
Do đó: \(\dfrac{1}{4003}>-\dfrac{75}{106}\)
b: \(-19< -17\)
=>\(-\dfrac{19}{31}< -\dfrac{17}{31}\)
c: \(\dfrac{-33}{37}>\dfrac{-34}{37}\)
mà \(-\dfrac{34}{37}>-\dfrac{34}{35}\)
nên \(\dfrac{-33}{37}>-\dfrac{34}{35}\)
d: \(\dfrac{-13}{77}=\dfrac{-13\cdot205}{77\cdot205}=\dfrac{-2665}{77\cdot205}\)
\(\dfrac{-34}{205}=\dfrac{-34\cdot77}{205\cdot77}=\dfrac{-2618}{205\cdot77}\)
mà -2665<-2618
nên \(\dfrac{-13}{77}< \dfrac{-34}{205}\)
e: \(\dfrac{-456}{461}=-1+\dfrac{5}{461};\dfrac{-123}{128}=-1+\dfrac{5}{128}\)
461>128
=>\(\dfrac{5}{461}< \dfrac{5}{128}\)
=>\(\dfrac{5}{461}-1< \dfrac{5}{128}-1\)
=>\(\dfrac{-456}{461}< \dfrac{-123}{128}\)