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\(=\frac{-5}{70}.\left(1+\frac{1}{10}+\frac{1}{10^2}+\frac{1}{10^3}+\frac{1}{10^4}\right)\)
\(=\frac{-1}{14.9}\left(10-1+\frac{10-1}{10}+\frac{10-1}{10^2}+\frac{10-1}{10^3}+\frac{10-1}{10^4}\right)\)
\(=\frac{-1}{14.9}\left(10-\frac{1}{10^4}\right)\)=\(\frac{-11111}{14.10^4}\)
\(A=\frac{7\times9+14\times27+21\times36}{21\times27+42\times81+63\times108}=\frac{7\times9+7\times2\times9\times3+7\times3\times9\times4}{21\times27+21\times2\times27\times3+21\times3\times27\times4}=\frac{7\times9\times\left(1+2\times3+3\times4\right)}{21\times27\times\left(1+2\times3\times3\times4\right)}=\frac{7\times3\times3}{7\times3\times3\times9}=\frac{1}{9}\)
\(B=\frac{1}{5}-\frac{3}{7}+\frac{5}{9}-\frac{2}{11}+\frac{7}{13}-\frac{9}{16}-\frac{7}{13}+\frac{2}{12}-\frac{5}{9}+\frac{3}{7}-\frac{1}{5}-\frac{1}{5}\)
\(B=\left(\frac{1}{5}-\frac{1}{5}\right)-\left(\frac{3}{7}-\frac{3}{7}\right)+\left(\frac{5}{9}-\frac{5}{9}\right)+\left(\frac{7}{13}-\frac{7}{13}\right)-\frac{2}{11}+\frac{2}{12}-\frac{9}{16}-\frac{1}{5}\)
\(B=0-0+0+0-\frac{2}{11}+\frac{2}{12}-\frac{9}{16}-\frac{1}{5}\)
\(B=\frac{-2}{11}+\frac{2}{12}-\frac{9}{16}-\frac{1}{5}\)
Đến đây chỉ còn cách quy đồng thôi
\(\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{4}-\frac{5}{6}+\frac{5}{8}}\)
\(=\frac{\frac{1}{2}.\left(\frac{1}{4}-\frac{1}{6}+\frac{1}{8}\right)}{5\left(\frac{1}{4}-\frac{1}{6}+\frac{1}{8}\right)}\)
\(=\frac{\frac{1}{2}}{5}=\frac{1}{10}\)
Study well
\(\frac{\frac{3}{8}-\frac{3}{10}+\frac{3}{11}+\frac{3}{12}}{\frac{5}{8}-\frac{5}{10}+\frac{5}{11}+\frac{5}{12}}+\frac{\frac{3}{2}+1+\frac{3}{4}}{\frac{5}{2}+\frac{5}{3}+\frac{5}{4}}\)
\(=\frac{3.\left(\frac{1}{8}-\frac{1}{10}+\frac{1}{11}+\frac{1}{12}\right)}{5.\left(\frac{1}{8}-\frac{1}{10}+\frac{1}{11}+\frac{1}{12}\right)}+\frac{3.\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)}{5.\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)}\)
\(=\frac{3}{5}+\frac{3}{5}\)
\(=\frac{6}{5}\)
\(\left(-\frac{2}{7}+\frac{1}{5}\right):\frac{9}{35}+\left(\frac{4}{5}-\frac{5}{7}\right):\frac{9}{35}\)
\(=\left(-\frac{2}{7}+\frac{1}{5}+\frac{4}{5}-\frac{5}{7}\right):\frac{9}{35}\)
\(=0:\frac{9}{35}\)
\(=0\)
\(=\frac{-3}{35}\div\frac{9}{35}+\frac{3}{35}\div\frac{9}{35}\)
\(=\left(-\frac{3}{35}+\frac{3}{35}\right)\div\frac{9}{35}\)
\(=0\div\frac{9}{35}\)
\(=0\)
Đề Này Không tính nhanh được đâu bạn
Minh tính Ra kết quả là :
\(\frac{2257}{378}\)