Tính 1919/1212 +515151/363636
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Ta có: \(A=\frac{432143214321}{999999999999}=\frac{4321\times100010001}{9999\times100010001}=\frac{4321}{9999}< \frac{1}{2}\)
\(B=\frac{1212+1212+1212+1212}{1919+1919+1919+1919}=\frac{1212\times4}{1919\times4}=\frac{1212}{1919}=\frac{12\times101}{19\times101}=\frac{12}{19}>\frac{1}{2}\)
Do:\(A< \frac{1}{2}< B\Rightarrow A< B\)
\(\frac{121212+12121212-1212}{363636-36363636-3636}=\frac{12\left(111111+11111111-1111\right)}{36\left(111111+11111111-1111\right)}=\frac{12}{36}=\frac{1}{3}\)
\(\frac{1919}{1212}+\frac{51515151}{36363636}\)
\(=\)\(\frac{19}{12}+\frac{17}{12}\)
\(=\frac{36}{12}\)
\(=3\)
= \(\frac{19}{12}\)+ \(\frac{17}{12}\)
= \(\frac{36}{12}\)
= \(3\)
\(\frac{121212+12121212-1212}{363636+36363636-3636}\)
\(=\frac{12.10101+12.1010101-12.101}{36.10101+36.1010101-36.101}\)
\(=\frac{12\left(10101+1010101-101\right)}{36\left(10101+1010101-101\right)}\)
\(=\frac{12}{12.3}\)
\(=\frac{1}{3}\)
Ta có: \(\frac{121212+12121212-1212}{363636+36363636-3636}\)
=\(\frac{12\times\left(10101+1010101-101\right)}{36\times\left(10101+1010101-101\right)}\)
=\(\frac{12}{36}\)
=\(\frac{1}{3}\)
\(A=\frac{121212}{363636}+\frac{1212}{3636}\)
\(=\frac{1}{3}+\frac{1}{3}=\frac{2}{3}\)
\(\frac{1919}{1212}+\frac{515151}{363636}=3\)
HOK TỐT
\(\frac{1919}{1212}+\frac{515151}{363636}\)
\(=\frac{19}{12}+\frac{17}{12}\)
\(=\frac{36}{12}\)
\(=3\)