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a,
\(\frac{45}{46}>\frac{2011}{2012}\)
b,
\(\frac{2010}{2011}< \frac{17}{16}\)
Hok tốt!
\(a,\frac{45}{46}\)và \(\frac{2011}{2012}\)
Ta có: \(1-\frac{45}{46}=\frac{1}{46};1-\frac{2011}{2012}=\frac{1}{2012}\)
\(\frac{1}{46}>\frac{1}{2012}\Rightarrow\frac{45}{46}>\frac{2011}{2012}\)
\(b,\frac{2010}{2011}\)và \(\frac{17}{16}\)
Ta có: \(\frac{2010}{2011}< 1;\frac{17}{16}>1\Rightarrow\frac{2010}{2011}< \frac{17}{16}\)
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\(\dfrac{2010}{2011}\) và \(\dfrac{2011}{2012}\)
Ta có:
\(1-\dfrac{2010}{2011}=\dfrac{1}{2011}\)
\(1-\dfrac{2011}{2012}=\dfrac{1}{2012}\)
Vì \(\dfrac{1}{2011}>\dfrac{1}{2012}\) nên \(\dfrac{2010}{2011}< \dfrac{2011}{2012}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{46}{45}=1+\frac{1}{45},\frac{2012}{2011}=1+\frac{1}{2011}\)
Có \(2011>45>0\Rightarrow\frac{1}{45}>\frac{1}{2011}\)
Do đó \(\frac{46}{45}>\frac{2012}{2011}\).
\(\frac{2011}{2010}>1>\frac{16}{17}\).
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\(\dfrac{43}{46}>\dfrac{43}{48}>\dfrac{42}{48}=\dfrac{21}{24}\)
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Ta có: \(\frac{2012}{2011}=1-\frac{1}{2011}\)
\(\frac{2011}{2010}=1-\frac{1}{2010}\)
Vì \(\frac{1}{2011}>\frac{1}{2010}\)nên \(\frac{2012}{2011}>\frac{2011}{2010}\)
\(\Rightarrow\frac{2012}{2011}>\frac{2011}{2010}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Lấy 1 - trừ từng phân số nha
mk ko muốn viết lời giải nhưng mk nói luôn kết quả là 2 phép tính bằng nhau
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a) \(\frac{47}{32}>\frac{36}{46}\)Vì phân số \(\frac{47}{32}>1;\frac{36}{46}< 1\)nên \(\frac{47}{32}>\frac{36}{46}\)
b) \(\frac{199}{200}< \frac{200}{201}\)Vì \(\frac{199}{200}=\frac{199.201}{200.201};\frac{200}{201}=\frac{200.200}{201.200}\)
ta so sánh 199.201 và 200.200
199.201 = 199.(200+1) = 199.200+199
200.200 = 200.(199+1) = 200.199+200
Vì 199.200 + 199 < 200.199+200 nên \(\frac{199}{200}< \frac{200}{201}\)
c) \(\frac{2012.2010}{2011.2011}=\frac{\left(2011+1\right).2010}{2011.\left(2010+1\right)}=\frac{2011.2010+2010}{2011.2010+2011}\)
\(\frac{2013.2009}{2014.2008}=\frac{2013.\left(2008+1\right)}{\left(2013+1\right).2008}=\frac{2013.2008+2013}{2013.2008+2008}\)
ta so sánh : \(\frac{2010}{2011}< \frac{2013}{2008}\) vì \(\frac{2010}{2011}< 1;\frac{2013}{2008}>1\)
a) \(1=\frac{45}{46}+\frac{1}{46}\)
\(1=\frac{2011}{2012}+\frac{1}{2012}\)
Vì \(\frac{1}{46}>\frac{1}{2012}\)\(\Rightarrow\)\(\frac{45}{46}< \frac{2011}{2012}\)
b)Vì 2010/2011 < 1 và 17/16 > 1 => 2010/2011 < 17/16