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a) Ta có: \(\frac{13}{21}=\frac{26}{42}\)
\(\frac{9}{14}=\frac{27}{42}\)
Vì \(\frac{26}{42}< \frac{27}{42}\) nên \(\frac{13}{21}< \frac{9}{14}\)
b) Ta có: \(\frac{7}{-12}=\frac{-21}{36}\)
\(\frac{11}{-18}=\frac{-22}{36}\)
Vì \(\frac{-21}{36}>\frac{-22}{36}\) nên \(\frac{7}{-12}>\frac{11}{-18}\)
c) Ta có: \(\frac{17}{58}=\frac{510}{1740}\)
\(\frac{13}{60}=\frac{377}{1740}\)
Vì \(\frac{510}{1740}>\frac{377}{1740}\) nên \(\frac{17}{58}>\frac{13}{60}\)
d) Ta có: \(\frac{-19}{33}=\frac{-703}{1221}\)
\(\frac{-17}{37}=\frac{-561}{1221}\)
Vì \(\frac{-703}{1221}< \frac{-561}{1221}\) nên \(\frac{-19}{33}< \frac{-17}{33}\)
e) Ta có: \(\frac{67}{77}=\frac{5561}{6391}\)
\(\frac{73}{83}=\frac{5621}{6391}\)
Vì \(\frac{5561}{6391}< \frac{5621}{6391}\) nên \(\frac{67}{77}< \frac{73}{83}\)
f) Ta có: \(\frac{-456}{461}=\frac{-58368}{59008}\)
\(\frac{-123}{128}=\frac{-56703}{59008}\)
Vì \(\frac{-58368}{59008}< \frac{-56703}{59008}\) nên \(\frac{-456}{461}< \frac{-123}{128}\)
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a) Ta có: \(\frac{179}{197}< 1\)và \(\frac{971}{917}>1\)
\(\Rightarrow\frac{179}{197}< 1< \frac{971}{917}\)
\(\Rightarrow\frac{179}{197}< \frac{971}{917}\)
b)Ta có: \(\frac{64}{85}< \frac{64}{81}\) mà \(\frac{73}{81}>\frac{64}{81}\)
\(\Rightarrow\frac{64}{85}< \frac{64}{81}< \frac{73}{81}\)
\(\Rightarrow\frac{64}{85}< \frac{73}{81}\)
Tự làm tiếp nha ~
a) Vì 179/197 < 1 ; 971/917 > 1
=> 179/197 < 971/917
b) Vì 64/85 < 64/81 < 73/81
=> 64/85 < 73/81
c) Ta có: 456/461 = 1 - 5/461 ; 123/128 = 1 - 5/128
Vì 5/461 < 5/128 => 1 - 5/461 > 1 - 5/128
=> 456/461 > 123/128
d) 53/57 = 530/570
Áp dụng a/b < 1 => a/b < a+m/b+m (a,b,m thuộc N*)
Do 530/570 < 1 => 530/570 < 530+1/570+1
=> 53/57 < 531/571
e) Ta có: 58/89 > 58/87 = 2/3
36/53 < 36/54 = 2/3
=> 58/89 > 36/53
g) Ta có: 11/32 > 11/33 = 1/3
16/49 < 16/48 = 1/3
=> 11/32 > 16/49