322:14 375:15
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a ) − 1 > − 2 ; b ) − 9 11 < − 8 11 ; c ) 1 6 > − 7 10 ; d ) 29 20 < 2
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\(375:\left\{32-\left[4+\left(5.32-42\right)\right]\right\}-14\)
\(=375:\left\{32-\left[4+\left(160-42\right)\right]\right\}-14\)
\(=375:\left\{32-\left[4+118\right]\right\}-14\)
\(=375:\left\{32-122\right\}-14\)
\(=375:\left(-90\right)-14\)
\(=\dfrac{-25}{6}-14\)
\(=\dfrac{-109}{6}\)
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= \(\frac{1.3-1}{1.3}+\frac{3.5-1}{3.5}+...+\frac{17.19-1}{17.19}=1-\frac{1}{1.3}+1-\frac{1}{3.5}+...+1-\frac{1}{17.19}\)
= \(\left(1+1+...+1\right)-\left(\frac{1}{1.3}+\frac{1}{3.5}+...+\frac{1}{17.19}\right)\)
= \(9-\frac{1}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{17.19}\right)=9-\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{17}-\frac{1}{19}\right)\)
= \(9-\frac{1}{2}.\left(1-\frac{1}{19}\right)=9-\frac{1}{2}.\frac{18}{19}=9-\frac{9}{19}=\frac{162}{19}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa mẫu số cuối là 374 nhé!
\(=1-\left(\frac{7-2}{2.7}+\frac{12-7}{7.12}+\frac{17-12}{12.17}+\frac{22-17}{17.22}\right)\)
\(=1-\left(\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{12}+\frac{1}{12}-\frac{1}{17}+\frac{1}{17}-\frac{1}{22}\right)=1-\left(\frac{1}{2}-\frac{1}{22}\right)=1-\frac{5}{11}=\frac{6}{11}\)
23 25
322 : 14 = 23
375 : 15 = 25
Tick tớ nhé bạn !