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19 tháng 7 2019

a)\(\frac{-9}{34}.\frac{17}{4}=\frac{-3^2.17}{17.2^3}=-1\)

b)\(\frac{-20}{41}.\frac{-4}{5}=\frac{5.16}{41.5}=\frac{16}{41}\)

Hok tốt

19 tháng 7 2019

\(a.\frac{-9}{34}.\frac{17}{4}=\frac{-9.17}{34.4}=\frac{-9.1}{2.4}=-\frac{9}{8}\)

\(b.-\frac{20}{41}.\frac{-4}{5}=\frac{-20.\left(-4\right)}{41.5}=\frac{-4.\left(-4\right)}{41.1}=\frac{16}{41}\)

hok tốt

study well 

21 tháng 6 2015

a,\(=\frac{-5}{9}+\frac{8}{15}+\frac{-2}{11}+\frac{-4}{9}+\frac{7}{15}\)

\(\left(\frac{-5}{9}+\frac{-4}{9}\right)+\left(\frac{8}{15}+\frac{7}{15}\right)+\frac{-2}{11}\)

=-1+1+-2/11

=0+-2/11

=-2/11

b,\(=\left(\frac{5}{13}+\frac{8}{13}\right)+\left(\frac{-20}{41}+\frac{-21}{40}\right)+\frac{-5}{17}\)

=1+-1+-5/17

=0+-5/17

=-5/17

c,\(=\left(\frac{1}{5}+\frac{4}{5}\right)+\left(\frac{-2}{9}+-\frac{7}{9}\right)+\frac{16}{17}\)

=1+-1+16/17

=0+16/17

=16/17

d,\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{99}-\frac{1}{101}\)

\(=\frac{1}{3}-\frac{1}{101}=\frac{98}{303}\)

 

a.\(\frac{-5}{9}\)+\(\frac{8}{15}\)+\(\frac{-2}{11}\)+\(\frac{4}{-9}\)+\(\frac{7}{15}\)

=\(\frac{-5}{9}\)+\(\frac{4}{-9}\)+\(\frac{8}{15}\)+\(\frac{7}{15}\)+\(\frac{-2}{11}\)

=(\(\frac{-5}{9}\)+\(\frac{-4}{9}\))+(\(\frac{8}{15}\)+\(\frac{7}{15}\))+\(\frac{-2}{11}\)

=(-1)+1+\(\frac{-2}{11}\)

=0+\(\frac{-2}{11}\)

=\(\frac{-2}{11}\).

 

26 tháng 7 2016

p) \(\frac{-5}{9}+\frac{8}{15}+\frac{-2}{11}+\frac{4}{-9}+\frac{7}{15}\)

\(=\left(\frac{-5}{9}+\frac{-4}{9}\right)+\left(\frac{8}{15}+\frac{7}{15}\right)+\frac{-2}{11}\)

\(=-1+1+\frac{-2}{11}\)

\(=-\frac{2}{11}\)

q) \(\frac{5}{13}+\frac{-5}{17}+\frac{-20}{41}+\frac{8}{13}+\frac{-21}{41}\)

\(=\left(\frac{5}{13}+\frac{8}{13}\right)+\left(\frac{-20}{41}+\frac{-21}{41}\right)+\frac{-5}{17}\)


\(=1+\left(-1\right)+\frac{-5}{17}=\frac{-5}{17}\)

r) \(\frac{1}{5}+\frac{-2}{9}+\frac{-7}{9}+\frac{4}{5}+\frac{16}{17}\)

\(=\left(\frac{1}{5}+\frac{4}{5}\right)+\left(\frac{-2}{9}+\frac{-7}{9}\right)+\frac{16}{17}\)

\(=1+\left(-1\right)+\frac{16}{17}=\frac{16}{17}\)

6 tháng 8 2017

Biết rồi mà đi đố người khác . Chịu chị luôn em lạy 2 tay

16 tháng 5 2020

tìm n  \in  N để \(\frac{n}{n+1}\) + \(\frac{n}{n+2}\) là số tự nhiên

giúp mik với sắp thi r

4 tháng 4 2017

Bạn đi hỏi các anh chị

Rồi anh chị chỉ cho

~~~ Chúc bạn học giỏi ~~~

16 tháng 7 2016

                            \(A=\frac{636363.37-373737.63}{1+2+3+...+2006}\)

                           \(A=\frac{63.10101.37-37.10101.63}{1+2+3+...+2006}\)

                         \(A=0\)

                    \(B=1\frac{6}{41}.\left(\frac{12+\frac{12}{19}-\frac{12}{37}-\frac{12}{53}}{3+\frac{3}{19}-\frac{3}{37}-\frac{3}{53}}:\frac{4+\frac{4}{17}+\frac{4}{19}+\frac{4}{2006}}{5+\frac{5}{17}+\frac{5}{19}+\frac{5}{2006}}\right).\frac{124242423}{237373735}\)

                 \(B=\frac{47}{41}.\left[\frac{4.\left(3+\frac{3}{19}-\frac{3}{37}-\frac{3}{53}\right)}{1.\left(3+\frac{3}{19}-\frac{3}{37}-\frac{3}{53}\right)}:\frac{4.\left(1+\frac{1}{17}+\frac{1}{19}+\frac{1}{2006}\right)}{5.\left(1+\frac{1}{17}+\frac{1}{19}+\frac{1}{2006}\right)}\right].\frac{124242423}{237373735}\)

                 \(B=\frac{47}{41}.\left(4:\frac{4}{5}\right).\frac{124242423}{237373735}\)

                 \(B=\frac{47}{41}.5.\frac{124242423}{237373735}\)

              \(B=\frac{47.5.124242423}{41.237373735}\)

              \(B=\frac{29196969405}{9732323135}\)

            Ủng hộ mk nha !!! ^_^

16 tháng 7 2016

a) \(A=\frac{636363.37-373737.63}{1+2+3+...+2006}\)

\(A=\frac{10101.63.37-10101.37.63}{1+2+3+...+2006}\)

\(A=\frac{0}{1+2+3+...+2006}\)

\(A=0\)

b) \(B=1\frac{6}{41}\left(\frac{12+\frac{12}{19}-\frac{12}{37}-\frac{12}{53}}{3+\frac{3}{19}-\frac{3}{37}-\frac{3}{53}}.\frac{4+\frac{4}{17}+\frac{4}{19}+\frac{4}{2006}}{5+\frac{5}{17}+\frac{5}{19}+\frac{5}{2006}}\right).\frac{124242423}{237373735}\)

\(B=\frac{47}{41}.\frac{12}{3}.\left(\frac{1+\frac{1}{19}-\frac{1}{37}-\frac{1}{53}}{1+\frac{1}{19}-\frac{1}{37}-\frac{1}{53}}\right).\frac{4}{5}.\left(\frac{1+\frac{1}{17}+\frac{1}{19}+\frac{1}{2006}}{1+\frac{1}{17}+\frac{1}{19}+\frac{1}{2006}}\right).\frac{123}{235}\)

\(B=\frac{47.4.4.123}{41.5.235}\)

\(B=\frac{47.4.4.41.3}{41.5.47.5}\)

\(B=\frac{4.4.3}{5.5}\)

\(B=\frac{48}{25}\)

28 tháng 3 2019

\(B=\frac{3+\frac{8}{12}+\frac{9}{13}-\frac{12}{17}}{4+\frac{8}{12}+\frac{12}{13}-\frac{16}{17}}+\frac{4+\frac{16}{60}-\frac{24}{213}-\frac{32}{11}}{5+\frac{20}{61}-\frac{36}{213}-\frac{40}{11}}\)

\(\Leftrightarrow B=\frac{3\left(1+\frac{8}{12}+\frac{3}{13}-\frac{4}{17}\right)}{4\left(1+\frac{8}{12}+\frac{3}{13}-\frac{4}{17}\right)}+\frac{4\left(1+\frac{4}{60}-\frac{6}{213}-\frac{8}{11}\right)}{5\left(1+\frac{4}{60}+\frac{6}{213}-\frac{8}{11}\right)}\)

\(\Leftrightarrow B=\frac{3}{4}+\frac{4}{5}\)

\(\Leftrightarrow B=\frac{15}{20}+\frac{16}{20}\)

\(\Leftrightarrow B=\frac{31}{20}\)

28 tháng 3 2019

Ai tui sai là người ngu nhất thế giới.22

31 tháng 3 2019

a, \(\left(31\frac{6}{13}+5\frac{9}{41}\right)-36\frac{6}{13}=31\frac{6}{16}+5\frac{9}{41}-36\frac{6}{13}\)

\(=\left(31\frac{6}{16}-31\frac{6}{16}\right)+5\frac{9}{41}\)

\(=0+5\frac{9}{41}=5\frac{9}{41}\)

b, \(\left(17\frac{29}{31}-3\frac{7}{8}\right)-\left(2\frac{28}{31}-4\right)=17\frac{9}{31}-3\frac{7}{8}-2\frac{28}{31}+4\)