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1/Cho các số hữu tỉ a,b,c thoả mãn điều kiện a > b và b, c > 0 Chứng minh \(\dfrac{a}{b}\) > \(\dfrac{a+c}{b+c}\)
2/ So sánh 2 số hữu tỉ A=\(\dfrac{5^{2013}+17}{5^{2011}+17}\) và B=\(\dfrac{5^{2011}+1}{5^{2009}+1}\)
1/\(4.\left(\dfrac{-1}{2}\right)^{^{ }3}+\dfrac{1}{2}:5\)
2/\(17\dfrac{1}{5}:\left(\dfrac{-5}{7}\right)-2\dfrac{1}{5}.\left(\dfrac{-7}{5}\right)\)
Help me
Cho \(A=1+\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{4026}\)và \(B=1+\dfrac{1}{3}+\dfrac{1}{5}+\dfrac{1}{7}+...+\dfrac{1}{4025}\)So sánh với \(1\dfrac{2013}{2014}\)
Bài 1: Tính
A=\(\left(\dfrac{3}{7}-\dfrac{3}{17}+\dfrac{3}{37}\right):\left(\dfrac{5}{7}-\dfrac{5}{17}+\dfrac{5}{37}\right)+\dfrac{2}{5}\)
Bài 2: So sánh B với \(\dfrac{1}{2}\) biết:
B= \(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{100}}\)
Tính :
1, \(2016-1-\dfrac{1}{3}-\dfrac{1}{6}-\dfrac{1}{10}-\dfrac{1}{15}-...-\dfrac{1}{1225}\)
2, \(\dfrac{3}{2}+\dfrac{5}{4}+\dfrac{9}{8}+\dfrac{17}{16}+\dfrac{33}{32}+\dfrac{65}{64}-7\)
3, A= \(\dfrac{1}{3\cdot4}-\dfrac{1}{4\cdot5}-\dfrac{1}{5\cdot6}-...-\dfrac{1}{9\cdot10}\)
help me ~ mai mik phải nộp rồi
Đề bài: So sánh các số hữu tỉ sau:
a)\(\dfrac{-13}{40}và\dfrac{12}{-40}\)
b)\(\dfrac{-5}{6}và\dfrac{-91}{104}\)
c)\(\dfrac{-15}{21}và\dfrac{-36}{44}\)
d)\(\dfrac{-16}{30}và\dfrac{-35}{84}\)
e)\(\dfrac{-5}{91}và\dfrac{-501}{9191}\)
f)\(\dfrac{-11}{3^7.7^3}và\dfrac{-78}{3^7.7^4}\)
giúp mik nha!!!
\(\dfrac{-3}{5}+\dfrac{7}{21}+\dfrac{-4}{5}+\dfrac{7}{5}\)
\(\dfrac{-3}{17}+(\dfrac{2}{3}+\dfrac{3}{17})\)
1. Thực hiện phép tính bằng cách hợp lí:
a. \(\dfrac{11}{125}-\dfrac{17}{18}-\dfrac{5}{7}+\dfrac{4}{9}+\dfrac{17}{14}\)
b. \(1-\dfrac{1}{2}+2-\dfrac{2}{3}+3-\dfrac{3}{4}+4-\dfrac{1}{4}-3-\dfrac{1}{3}-2-\dfrac{1}{2}-1\)
\(\dfrac{-1}{3};\dfrac{7}{9};\dfrac{5}{6}\)So sánh các số hữu tỉ