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a) 13/57=13+16/57+16=29/73 ( Ghi nhớ SKG Toán 6)
-=> 13/57 < 29/73
b) 17/42 = 17-4/42-4 = 13/38
=> 17/42 > 13/38
c)7/41 = 7+6/41+6= 13/47
=> 7/41<13/47
a.Vì \(\frac{17}{19}< 1\) và \(\frac{19}{17}>1\)
nên \(\frac{17}{19}< 1< \frac{19}{17}\)
hay \(\frac{17}{19}< \frac{19}{17}\)
b) \(\frac{15}{7}=2\frac{1}{7}\) và \(\frac{25}{12}=2\frac{1}{12}\)
Vì \(2\frac{1}{7}>2\frac{1}{12}\) nên \(\frac{15}{7}>\frac{25}{12}\)
\(A=\frac{54.107-53}{53.107+54}\)
\(\Leftrightarrow A=\frac{53.107+107-53}{53.107+54}\)
\(\Leftrightarrow A=\frac{53.107+54}{53.107+54}\)
\(\Leftrightarrow A=1\)
\(B=\frac{135.269-133}{134.269+135}\)
\(\Leftrightarrow B=\frac{134.269+269-133}{134.269+135}\)
\(\Leftrightarrow B=\frac{134.269+135}{134.269+135}\)
\(\Leftrightarrow B=1\)
Vì 1 = 1 nên A =B
13/21<9/11
6/17<9/25
7/12>11/-18
tk mk nha mk đang âm điểm
chúc các bn hok tốt ^-^
a)
\(\frac{64}{85}< \frac{64}{81}< \frac{73}{81}\)
=>\(\frac{64}{85}< \frac{73}{81}\)
b)
\(\frac{25}{26}=\frac{25.1010}{26.1010}=\frac{25250}{26260}\)
Ta có: \(1-\frac{25250}{26260}=\frac{1010}{26260}\)
\(1-\frac{25251}{26261}=\frac{1010}{26261}\)
Vì \(\frac{1010}{26260}>\frac{1010}{26261}\) nên \(\frac{25}{26}< \frac{25251}{26261}\)
a)\(\frac{64}{85}\)<\(\frac{64}{81}\)<\(\frac{73}{81}\)
b)\(\frac{25}{26}\)=\(\frac{25250}{26260}\)=\(1\)- \(\frac{1010}{26260}\)< \(1\)- \(\frac{1010}{26261}\)= \(\frac{25251}{26261}\)
a) \(\frac{8}{9}=1-\frac{1}{9}\)
\(\frac{108}{109}=1-\frac{1}{109}\)
Vì \(\frac{1}{9}>\frac{1}{109}\)
Nên \(1-\frac{1}{9}< 1-\frac{1}{109}\)
Vậy \(\frac{8}{9}< \frac{108}{109}\)
b)
\(\frac{97}{100}=\frac{97\cdot99}{100\cdot99}\)
\(\frac{98}{99}=\frac{98\cdot100}{99\cdot100}\)
\(\Rightarrow\frac{97}{100}< \frac{98}{99}\)
e) \(\frac{15}{16}=\frac{15.1010}{16.1010}=\frac{15150}{16160}=1-\frac{1010}{16160}\)
\(\frac{15151}{16161}=1-\frac{1010}{16161}\)
Vì \(16160< 16161\)\(\Rightarrow\frac{1}{16160}>\frac{1}{16161}\)
\(\Rightarrow\frac{1010}{16160}>\frac{1010}{16161}\)\(\Rightarrow1-\frac{1010}{16160}< 1-\frac{1010}{16161}\)
hay \(\frac{15}{16}< \frac{15151}{16161}\)
c)
\(\frac{19}{18}=1+\frac{1}{18}\)
\(\frac{2017}{2016}=1+\frac{1}{2016}\)
Vì \(\frac{1}{18}>\frac{1}{2016}\)
Vậy \(\frac{19}{18}>\frac{2017}{2016}\)
d)
\(\frac{133}{173}=\frac{130+3}{170+3}=\frac{13+0,3}{17+0,3}\)
Ta có :
\(\frac{a}{b}< \frac{a+x}{b+x}\forall a;b;x>0\)
Vậy \(\frac{13}{17}< \frac{133}{173}\)