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Bài làm:
Ta có: \(\left[0,\left(37\right)+0,\left(62\right)\right].x=10\)
\(\Leftrightarrow\left(\frac{37}{99}+\frac{62}{99}\right).x=10\)
\(\Leftrightarrow1.x=10\)
\(\Rightarrow x=10\)
\(\left[0,\left(37\right)+0,\left(62\right)\right]\cdot x=10\)
=> \(\left[\frac{37}{99}+\frac{62}{99}\right]\cdot x=10\)
=> \(1\cdot x=10\)
=> x = 10
![](https://rs.olm.vn/images/avt/0.png?1311)
0,(37)=37/99
0,(62)=62/99
=>0,(37)+0,(62)=37/99+62/99=99/99=1
=>1.x=10
=>x=10
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(\frac{37}{99}+\frac{62}{99}\right).x=10\)
\(\frac{99}{99}.x=10\Rightarrow x=10\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\Leftrightarrow x\cdot\left(\dfrac{37}{99}+\dfrac{62}{99}\right)=10\)
=>x=10
b: \(\Leftrightarrow x:\dfrac{4}{9}=\dfrac{4}{33}:\dfrac{5}{3}=\dfrac{4}{33}\cdot\dfrac{3}{5}=\dfrac{4}{55}\)
\(\Leftrightarrow x=\dfrac{16}{495}\)