Tính nhanh.\(\frac{5}{1.4}+\frac{5}{4.7}+...+\frac{5}{57.40}\)
\(=5.\frac{1}{3}\left(\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{4}{37.40}\right)\)
\(=\frac{5}{3}\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{37}-\frac{1}{40}\right)\)
\(=\frac{5}{3}\left(\frac{1}{1}-\frac{1}{40}\right)\)
\(=\frac{5}{3}.\frac{39}{40}\)
\(=\frac{13}{8}\)
Rút gobj p/s
\(\frac{2019.2020+4038}{2022.2011-4044}\)
\(=\frac{2019.\left(2020+2\right)}{2020.\left(2011-2\right)}\)
\(=\frac{2019.2022}{2022.2019}\)
\(=\frac{1}{1}=1\)
Study well
Cho mk sorry nha dong thứ 2 từ trên cuống dưới phải là
\(5.\frac{1}{3}\left(\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{37.40}\right)\) nha
Sorry nhiều
Study well