P/s : Đúng nha
Ta có :
\(\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}\)
\(=\frac{2\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}:\frac{2\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}{7\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}\)
\(=\frac{2}{7}:\frac{2}{7}\)
\(=1\)
~ Ủng hộ nhé
\(\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}=\frac{2\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}\)
\(=\frac{2}{7}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}=\frac{2}{7}.\frac{7\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}\)
\(=\frac{2\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}=\frac{\frac{2}{6}-\frac{2}{8}+\frac{2}{10}}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}=\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}=1\)
Bài này cs trong đề thi hsg năm ngoái thi nè :>
\(\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}=\frac{2\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{7\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}\)
\(=\frac{2}{7}:\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{7\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}=\frac{2}{7}.\frac{7\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}\)
\(=2.\frac{\frac{1}{6}-\frac{1}{8}+\frac{1}{10}}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}=\frac{\frac{2}{6}-\frac{2}{8}+\frac{2}{10}}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}=\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}=1\)
bằng 1 nha bn eii