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a) Giả sử phân số \(\frac{6n-7}{n-1}\) chưa tối tối giản
=> 6n -7 và n - 1 có ước chung là số nguyên tố
Gọi d = ƯC(6n - 7; n - 1)
\(\Leftrightarrow\hept{\begin{cases}6n-7⋮d\\n-1⋮d\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}6n-7⋮d\\6n-6⋮d\end{cases}}\)
\(\Leftrightarrow1⋮d\)
Vì \(d\in N;1⋮d\Leftrightarrow d=1\)
\(\LeftrightarrowƯCLN\left(6n-7;n-1\right)=1\)
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a 20/48=10/24=15/36=25/60=30/72=35/84=40/96
b thì mình ko bt
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Bài Làm
20/48 = 10/24 = 30/72 = 40/96 = 15/36 = 25/60 = 35/84
Chỉ có vậy thui nha !
tkkk nha :)
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a: Gọi d=UCLN(6n-7;n-1)
\(\Leftrightarrow6n-7-6n+6⋮d\)
\(\Leftrightarrow-1⋮d\)
=>d=1
Do đó: \(\dfrac{6n-7}{n-1}\) là phân số tối giản
b: \(\dfrac{20}{48}=\dfrac{5}{12}=\dfrac{10}{24}=\dfrac{15}{36}=\dfrac{25}{60}=\dfrac{30}{72}=\dfrac{35}{84}=\dfrac{40}{96}\)