\(\frac{1}{5}+\frac{999}{2}+\frac{43}{453}\)
\(=\frac{2}{10}+\frac{4995}{10}+\frac{43}{453}\)
\(=\frac{4997}{10}+\frac{43}{453}\)
\(=\frac{2263641}{4530}+\frac{430}{4530}\)
\(=\frac{2264071}{4530}\)
~Study well~
#Bạch_Dương_Chi#
Tính nhanh : \(\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt[1]{2}+\sqrt[2]{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt[3]{4}+\sqrt[4]{5}}+...+\frac{1}{\sqrt{999}+\sqrt{1000}}+\frac{1}{\sqrt[999]{1000}+\sqrt[1000]{1001}}\)
Tính giá trị biểu thức:
7) G= \(\frac{1}{25}-\frac{4}{27}+\left(\frac{-23}{27}+\frac{-1}{25}-\frac{5}{43}\right)+\frac{5}{43}-\frac{4}{7}\)
Thực hiện phép tính :
a, \(\frac{5922.6001-69}{5932+6001.5931}\)
b, \(\left(\frac{1}{99}+\frac{12}{999}+\frac{123}{999}+\frac{1234}{99999}\right).\left(\frac{1}{2}_{ }-\frac{1}{3}-\frac{1}{6}\right)\)
\(B=\frac{\frac{2016}{1000}+\frac{2016}{999}+\frac{2016}{998}+.....+\frac{2016}{501}}{\frac{-1}{1\cdot2}-\frac{1}{3\cdot4}-\frac{1}{5\cdot6}-.....-\frac{1}{999\cdot1000}}\)
so sánh
\(-5\)và \(\frac{1}{63}\)
\(\frac{-18}{17}\)và \(\frac{-999}{1000}\)
\(\frac{-17}{35}\)và \(\frac{-43}{85}\)
TÍnh giá trị biểu thức sau:
\(A=\frac{1}{2\sqrt{1}+1\sqrt{2}}+\frac{1}{3\sqrt{2}+2\sqrt{3}}+\frac{1}{4\sqrt{3}+3\sqrt{4}}+........+\frac{1}{1000\sqrt{999}+999\sqrt{1000}}\)
Tính:
A=\(\frac{-5}{12}+\frac{4}{37}+\frac{17}{12}-\frac{41}{37}\)
B=\(\frac{1}{2}-\frac{43}{101}+(\frac{-1}{3})-\frac{1}{6}\)
C=\(\frac{-5}{6}.\frac{12}{-7}.\frac{-21}{15}\)
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 \(A>\frac{1}{2007^2}+\frac{1}{2006^2}+\frac{1}{2005^2}+...+\frac{1}{7^2}+\frac{1}{6^2}+\frac{1}{5^2}>B.\)
Tính hợp lý :
\(\left(5-\frac{43}{10}\right)-\left(\frac{42}{19}-\left(\frac{7}{2}-\frac{59}{10}\right)\right)+\frac{42}{19}+\frac{59}{10}+\frac{4}{5}\)
