So sánh 49/45 và 1890/2010
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có
\(A=\frac{2010.2010-1945}{2010.2010+65}<1\)
\(B=\frac{2001.2001+111}{2001.2002-1890}=\frac{2001.2001+111}{2001.2001+111}=1\)
Vậy A < B
![](https://rs.olm.vn/images/avt/0.png?1311)
A = 2010 × 2011 - 1945 / 2010 × 2010 + 65
A = 2010 × 2010 + ( 2010 - 1945) / 2010 × 2010 + 65
A = 2010 × 2010 + 65 / 2010 × 2010 + 65
A = 1
B = 2001 × 2001 + 111 / 2001 × 2002 - 1890
B = 2001 × 2001 + 111 / 2001 × 2001 + ( 2001 - 1890)
B = 2001 × 2001 + 111 / 2001 × 2001 + 111
B = 1
=> A = B
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Vì : ,2010 < 20102
20103 < 20104
201049 < 201050
Nên => a<b
Tớ làm trước ****
![](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 \(\frac{46}{45}>\frac{2012}{2011}\).
\(\frac{2011}{2010}>1>\frac{16}{17}\).
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{49}{45}=\frac{45+4}{45}=\frac{45}{45}+\frac{4}{45}=1+\frac{4}{45}\)
\(\frac{61}{57}=\frac{57+4}{57}=\frac{57}{57}+\frac{4}{57}=1+\frac{4}{57}\)
Vì \(\frac{4}{45}>\frac{4}{57}\)
Nên \(1+\frac{4}{45}>1+\frac{4}{57}\)
Vậy \(\frac{49}{45}>\frac{61}{57}\)
\(\frac{49}{45}=1+\frac{4}{45}\)
\(\frac{61}{57}=1+\frac{4}{57}\)
\(\Rightarrow\frac{49}{45}>\frac{61}{57}\)
49/45 lớn hơn nha
vì 49/45 >1
1890/2010<1