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Đặt \(A=\frac{3\cdot7\cdot13\cdot37\cdot39-10101}{505050-70707}\)
\(A=\frac{\left(3\cdot7\cdot13\cdot37\right)\cdot39-10101\cdot1}{50\cdot10101+7\cdot10101}\)
\(A=\frac{10101\cdot39-10101\cdot1}{10101\cdot\left(50+7\right)}\)
\(A=\frac{10101\cdot\left(39-1\right)}{10101\cdot57}\)
\(A=\frac{10101\cdot38}{10101\cdot57}\)
\(A=\frac{38}{57}=\frac{38:19}{57:19}=\frac{2}{3}\)
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3.7.13.37.39-10101/505050+70707
=393939-10101/505050+70707
=10101.39-10101/505050+70707
=10101(39-1)/10101.50 +70707
=10101.38/10101+70707
=38+70707=70745
![](https://rs.olm.vn/images/avt/0.png?1311)
Đề : \(\frac{3\cdot7\cdot13\cdot37\cdot39-10101}{505050-70707}\)
\(\Rightarrow\frac{\left(3\cdot7\cdot13\cdot37\right)\cdot39-10101}{505050-70707}\)
\(\Rightarrow\frac{10101\cdot39-10101}{505050-70707}\)
\(\Rightarrow\frac{10101\cdot\left(39-1\right)}{505050-70707}\)
\(\Rightarrow\frac{10101\cdot38}{50\cdot10101-7\cdot10101}\)
\(\Rightarrow\frac{10101\cdot38}{10101\cdot\left(50-7\right)}\)
\(\Rightarrow\frac{10101\cdot38}{10101\cdot43}\)
\(\Rightarrow\frac{38}{43}\)
rút gọn:3.7.13.37.35-10101/505050+20707