\(\frac{4}{10}+\frac{6}{10}=\frac{4+6}{10}=?\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\frac{1+2+3+4+5+6+7+8+9}{10}\)
\(=\frac{45}{10}=\frac{9}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có :
\(S=\frac{3}{2}+\frac{4}{3}+\frac{5}{4}+\frac{6}{5}+\frac{7}{6}+\frac{8}{7}+\frac{9}{8}+\frac{10}{9}+\frac{11}{10}+\frac{12}{11}\)
\(S=\frac{2+1}{2}+\frac{3+1}{3}+\frac{4+1}{4}+...+\frac{11+1}{11}\)
\(S=\left(1+\frac{1}{2}\right)+\left(1+\frac{1}{3}\right)+\left(1+\frac{1}{4}\right)+...+\left(1+\frac{1}{11}\right)\)
\(S=\left(1+1+1+...+1\right)+\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{11}\right)\)
\(S=10+\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{11}\right)>10\)
\(\Rightarrow\)\(S>10\)
Vậy \(S>10\)
Chúc bạn học tốt ~
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\(\frac{4}{10}:\left|x\right|=\left(\frac{6}{10}:\frac{3}{10}\right)^4\)
\(\frac{2}{5}:\left|x\right|=2^4\)
\(\left|x\right|=0,025\)
\(\Rightarrow\hept{\begin{cases}x=0,025\\x=-0,025\end{cases}}\)
\(\frac{4}{10}:\left|x\right|=\left(\frac{6}{10}\right)^4:\left(\frac{3}{10}\right)^4\)
\(\frac{4}{10}:\left|x\right|=2\)
\(\left|x\right|=\frac{4}{10}:2\)
\(\left|x\right|=\frac{1}{5}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{5}\\x=-\frac{1}{5}\end{cases}}\)
Vậy \(x\in\left\{\frac{1}{5};-\frac{1}{5}\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a,
\(=\frac{1+2+3+4+5+6+7+8+9}{10}=\frac{45}{10}=\frac{9}{2}\)
b,\(=9\times\left(\frac{26\times10101}{27\times10101}+\frac{8\times11111}{9\times11111}\right)=9\times\left(\frac{26}{27}+\frac{8}{9}\right)=9\times\frac{50}{27}=\frac{50}{3}\)
k cho mk nha!!!!!!!!!!!!!
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![](https://rs.olm.vn/images/avt/0.png?1311)
S = 1/5 = 2/10
Vì 2/10 < 3/10 => S < 3/10 (đpcm)
Ai k mk mk k lại cho !!
\(S=\frac{\frac{1}{4}+\frac{1}{6}+\frac{1}{10}}{5\cdot\left(\frac{1}{4}+\frac{1}{6}+\frac{1}{10}\right)}\)
\(S=\frac{1}{5}\)
\(\frac{1}{5}<\frac{3}{10}\)
\(S<\frac{3}{10}\)
\(\frac{4}{10}+\frac{6}{10}=\frac{4+6}{10}=\frac{10}{10}=1\)
mình nha