Tính
\(\frac{\frac{15}{6\cdot16}+\frac{15}{16\cdot26}+\frac{15}{26\cdot36}}{\frac{33}{6\cdot16}-\frac{63}{16\cdot26}+\frac{93}{26\cdot36}}\)
Tính:
a)\(\frac{5\cdot18-10\cdot27+15\cdot36}{10\cdot36-20\cdot54+30\cdot27}\)
b)\(\frac{\frac{-6}{7}+\frac{6}{19}-\frac{6}{31}}{\frac{9}{7}-\frac{9}{19}+\frac{9}{31}}\)
\(B=\frac{1}{16}+\frac{6}{16.26}+\frac{6}{26.36}+\frac{6}{36.46}+.....+\frac{6}{2006.2016}\)
\(B=\frac{1}{16}+\frac{6}{16.26}+\frac{6}{26.36}+\frac{6}{36.46}+...+\frac{6}{2006.2016}\)Tính giá trị biểu thức
Tính giá trị biểu thức B=\(\frac{1}{16}+\frac{6}{16.26}+\frac{6}{26.36}+....+\frac{6}{2006.2016}\)
Cho \(A=\frac{\frac{1}{1.101}+\frac{1}{2.102}+\frac{1}{3.103}+...+\frac{1}{25.125}}{\frac{1}{1.26}+\frac{1}{2.27}+\frac{1}{3.28}+...+\frac{1}{100.125}}.\) .
\(B=\frac{\frac{16}{9}-\frac{16}{127}+\frac{16}{2017}}{\frac{5}{2017}+\frac{5}{9}-\frac{5}{127}}-\frac{\frac{6000}{43}-\frac{6000}{257}-\frac{125}{42}}{\frac{2000}{43}-\frac{250}{252}-\frac{2000}{257}}.\)
Chứng minh rằng \(A>\frac{1}{2007^2}+\frac{1}{2006^2}+\frac{1}{2005^2}+...+\frac{1}{7^2}+\frac{1}{6^2}+\frac{1}{5^2}>B.\)
Thực hiện phép tính
\(\frac{\frac{3}{7}-\frac{3}{28}-\frac{3}{56}}{\frac{-3}{2}+\frac{3}{8} +\frac{3}{16}}-\frac{\frac{3}{6}-\left(-\frac{3}{36}\right)+\frac{3}{72}}{\frac{-9}{8}-\frac{9}{48}-\frac{9}{96}}+1\frac{59}{60}+0,01\left(6\right)\)
Tìm x,y,z biết \(\frac{3}{7}x=\frac{16}{26}y=\frac{6}{19}z\) ; 2x-y-z=-6
\(\frac{3}{4}\cdot26\frac{1}{5}-\frac{3}{4}\cdot44\frac{1}{6}\)