1 13 phan 15 nhan 0 phay 75 tru (11 phan 20 cong 25 phan tram ) chia 7 phan3
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
cho a bang 8 phan 11 nhan 13 cong 8 phan 13 nhan 15 cong ... cong 8 phan 19 nhan 21 va b bang 36 phan 231
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\frac{9}{14}\cdot y=\left[\frac{5}{7}-\frac{3}{14}\right]\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\left[\frac{10}{14}-\frac{3}{14}\right]\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\frac{1}{2}\cdot\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}\cdot y=\frac{2}{7}\)
\(\Rightarrow y=\frac{2}{7}:\frac{9}{14}=\frac{2}{7}\cdot\frac{14}{9}=\frac{2}{1}\cdot\frac{2}{9}=\frac{4}{9}\)
\(\Leftrightarrow y=\frac{4}{9}\)
b, tương tự
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{x.\left(x+3\right)}=\frac{101}{1540}\)
\(\frac{3}{5.8}+\frac{3}{8.11}+...+\frac{3}{x.\left(x+3\right)}=\frac{303}{1540}\)
\(\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{x}-\frac{1}{x+3}=\frac{303}{1540}\)
\(\frac{1}{5}-\frac{1}{x+3}=\frac{303}{1540}\)
\(\frac{1}{x+3}=\frac{1}{308}\)
\(\Rightarrow x+3=308\)
\(x=305\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{5.8}+\frac{1}{8.11}+\frac{1}{11.14}+...+\frac{1}{x.\left(x+30+\frac{101}{1540}\right)}\)
Phải gì không .
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