\(\frac{2012}{2014}\)+\(\frac{2014}{2016}\)
Những câu hỏi liên quan
\frac{x-10}{2010}+\frac{x-8}{2012}+\frac{x-6}{2014}+\frac{x-4}{2016}+\frac{x-2}{2018}=\frac{x-2018}{2}+\frac{x-2016}{4}+\frac{x-2014}{6}+\frac{x-2012}{8}+\frac{x-2010}{10}
Cho A : \(\frac{2011}{2012}+\frac{2012}{2013}+\frac{2013}{2014}\)
B :\(\frac{2014}{2015}+\frac{2015}{2016}+\frac{2016}{2017}\)
So sánh A và B
\(\frac{4}{2 . 4} + \frac{4}{4 . 6} + \frac{4}{6 . 8} + ... + \frac{4}{2012 . 2014} + \frac{4}{2014 . 2016}\) = ?
\(\frac{4}{2.4}+\frac{4}{4.6}+\frac{4}{6.8}+...+\frac{4}{2012.2014}+\frac{4}{2014.2016}\)
\(=2\left(\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+...+\frac{2}{2012.2014}+\frac{2}{2014.2016}\right)\)
\(=2\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{2012}-\frac{1}{2014}+\frac{1}{2014}-\frac{1}{2016}\right)\)
\(=2\left(\frac{1}{2}-\frac{1}{2016}\right)\)
\(=2.\frac{1007}{2016}\)
\(=\frac{1007}{1008}\)
Study well ! >_<
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\(\frac{4}{2.4}+\frac{4}{4.6}+\frac{4}{6.8}+...+\frac{4}{2012.2014}+\frac{4}{2014.2016}\)
= \(2.\left(\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{2012.2014}+\frac{2}{2014.2016}\right)\)
= \(2.\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{2012}-\frac{1}{2014}+\frac{1}{2014}-\frac{1}{2016}\right)\)
= \(2.\left(\frac{1}{2}-\frac{1}{2016}\right)\)
= 2 . 1007/2016 = 1007/1008
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\(\frac{2012+2013+2014}{2014\times2015+2016}\)
\(\frac{2012+2013+2014}{2014\cdot2015+2016}=1\)
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a) Tìm GTLN của biểu thức: A = -2x2 - 2xy - y2 + 2x - 2y + 20
b) Tính: \(\frac{2014.(2015^2+2016)-2016.(2015^2-2014)}{2014.(2013^2-2012)-2012.(2013^2+2014)}\)
b: \(=\dfrac{2014\cdot2015^2+2014\cdot2016-2016\cdot2015^2+2016\cdot2014}{2014\cdot2013^2-2014\cdot2012-2012\cdot2013^2-2012\cdot2014}\)
\(=\dfrac{2015^2\cdot\left(-2\right)+2\cdot\left(2015^2-1\right)}{2013^2\cdot\left(-2\right)-2\cdot\left(2013^2-1\right)}\)
\(=\dfrac{\left(-2\right)\cdot\left(2015^2-2015^2+1\right)}{\left(-2\right)\cdot\left(2013^2+2013^2-1\right)}=\dfrac{1}{2\cdot2013^2}\)
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Không tính cụ thể , hãy sắp xếp các biểu thức sau theo thứ tự giảm dần :frac{frac{2010}{2011}}{frac{2012}{2013}}+frac{frac{2011}{2012}}{frac{2013}{2014}}+frac{frac{2012}{2013}}{frac{2014}{2015}}frac{frac{2010}{2011}+frac{2011}{2012}+frac{2012}{2013}}{frac{2012}{2013}+frac{2013}{2014}+frac{2014}{2015}}frac{frac{2010+2011+2012}{2011+2012+2013}}{frac{2012+2013+2014}{2013+2014+2015}}frac{frac{2010}{2011}+frac{2011}{2012}+frac{2012}{2013}}{frac{2012+2013+2014}{2013+2014+2015}}frac{frac{2010+2011+2012...
Đọc tiếp
Không tính cụ thể , hãy sắp xếp các biểu thức sau theo thứ tự giảm dần :
\(\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}\)
\(\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}\)
\(\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012+2013+2014}{2013+2014+2015}}\)
\(\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012+2013+2014}{2013+2014+2015}}\)
\(\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}\)
$\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}$
$\frac{\frac{2010}{2011}}{\frac{2012}{2013}}+\frac{\frac{2011}{2012}}{\frac{2013}{2014}}+\frac{\frac{2012}{2013}}{\frac{2014}{2015}}$
$\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012+2013+2014}{2013+2014+2015}}$
$\frac{\frac{2010}{2011}+\frac{2011}{2012}+\frac{2012}{2013}}{\frac{2012+2013+2014}{2013+2014+2015}}$
$\frac{\frac{2010+2011+2012}{2011+2012+2013}}{\frac{2012}{2013}+\frac{2013}{2014}+\frac{2014}{2015}}$
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Xem thêm câu trả lời
a.1+2+3+4+5+......+99+100
b.\(\frac{2012}{2014}\)+\(\frac{2014}{2016}\)
\(\left(1+\frac{1}{2}+....+\frac{1}{5}\right)\cdot x+\frac{2014}{1}+\frac{2016}{2}+....+\frac{4025}{2012}+\frac{4027}{2014}\)
\(\cdot\)Là Dấu Nhân
\(\frac{2012+2013\cdot2014}{2014\cdot2015+2016}\)
\(\frac{2012+2013.2015}{2014.2015+2016}=\frac{4056194}{4060226}\)
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