Question

Bài 1: So sánh bằng cách nhanh nhất :

a) \(\frac{419}{-723}\) và \(\frac{-697}{-313}\)

b) \(\frac{190}{191}\) và \(\frac{2019}{2018}\)

c) \(\frac{19}{27}\) và \(\frac{193}{273}\)

d) \(\frac{53}{47}\) và \(\frac{57}{43}\)

Answer 1

a) Ta có: \(\frac{-697}{-313}=\frac{697}{313}>0\)

\(\frac{419}{-723}< 0\)

\(\Rightarrow\frac{419}{-713}< \frac{-697}{-313}\)

b) Ta có: \(\frac{190}{191}< 1\)

\(\frac{2019}{2018}>1\)

\(\Rightarrow\frac{190}{191}< \frac{2019}{2018}\)

c) Ta có: \(\frac{19}{27}< 1\)

\(\Rightarrow\frac{19}{27}< \frac{19.10+3}{27.10+3}\)

\(\Rightarrow\frac{19}{27}< \frac{193}{273}\)

d) Ta có: \(\frac{53}{47}< \frac{57}{47}\)

\(\frac{57}{43}>\frac{57}{47}\)

\(\Rightarrow\frac{53}{47}< \frac{57}{43}\)

Answer 2

a) 419/-723 < 0 < -697/-313

=> 419/-723 < -697/-313

b) 190/191 < 1 < 2019/2018

=> 190/191 < 2019/2018

d) 53/47 < 57/47 < 57/43

=> 53/47 < 57/43