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\(\frac{3}{5x7}+\frac{3}{7x9}+...+\frac{3}{59x61}\)
\(=\frac{3}{2}\left(\frac{2}{5x7}+\frac{2}{7x9}+...+\frac{2}{59x61}\right)\)
\(=\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}++...+\frac{1}{59}-\frac{1}{61}\right)\)
\(=\frac{3}{2}\left(\frac{1}{5}-\frac{1}{61}\right)\)
\(=\frac{3}{2}.\frac{56}{305}=\frac{84}{305}\)
\(x+3\frac{1}{2}=24\frac{1}{4}-x\)
\(\Leftrightarrow x+x=24\frac{1}{4}-3\frac{1}{2}\)
\(\Leftrightarrow2x=\frac{94}{4}-\frac{14}{4}\)
\(\Leftrightarrow2x=\frac{90}{4}=\frac{45}{2}\)
\(\Leftrightarrow x=\frac{45}{2}:2\)
\(\Leftrightarrow x=\frac{45}{4}\)
\(1+\frac{2}{1+\frac{2}{1+\frac{2}{3}}}\)
\(=1+\frac{2}{1+\frac{2}{\frac{5}{3}}}\)
\(=1+\frac{2}{1+\frac{6}{5}}\)
\(=1+\frac{2}{\frac{11}{5}}\)
\(=1+\frac{10}{11}\)
\(=\frac{21}{11}\)
1/2+1/3+1/4=5/6+1/4
=13/12
13/12
Tick cho mik nha!!!