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\(B=\frac{7}{10.11}+\frac{7}{11.12}+...+\frac{7}{69.70}\)
\(B=7.\left(\frac{1}{10.11}+\frac{1}{11.12}+...+\frac{1}{69.70}\right)\)
\(B=7.\left(\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}+...+\frac{1}{69}-\frac{1}{70}\right)\)
\(B=7.\left(\frac{1}{10}-\frac{1}{70}\right)\)
\(B=7.\left(\frac{7}{70}-\frac{1}{70}\right)\)
\(B=7.\frac{6}{70}\)
\(B=\frac{3}{5}\)
Chúc bạn học tốt !!!
A=4/1.31+6/7.41+9/9.41+ 7/10.57
=20/35.31+30/35.41+45/45.41+35/50.57
=5(4/35.31+6/35.41+9/45.41+7/50.57)
=5(1/31-1/35+1/35-1/41+1/41-1/45+1/45-1/50+1/50-1/57)
=5(1/31-1/57)
B thì làm tương tự nhưng nhân với 2=> B=2(1/31-1/57)
=> A/B=5/2
a)\(\frac{6}{7}\)và\(\frac{11}{10}\)
Vì \(\frac{6}{7}< 1;\frac{11}{10}>1\Rightarrow\frac{6}{7}< \frac{11}{10}\)
b)\(\frac{-5}{7}\)và\(\frac{2}{7}\)
Vì 2 phân số này cùng mẫu; -5<2 \(\Rightarrow\frac{-5}{7}< \frac{2}{7}\)
c)\(\frac{419}{-723}\)và\(\frac{-697}{-313}\)
Vì \(\frac{419}{-723}< 0;\frac{-697}{-313}>0\Rightarrow\frac{419}{-723}< \frac{-697}{-313}\)
\(a)15\frac{3}{13}-\left(3\frac{4}{7}+8\frac{3}{13}\right)\)
\(=15\frac{3}{13}-3\frac{4}{7}-8\frac{3}{13}\)
\(=15\frac{3}{13}-8\frac{3}{13}-3\frac{4}{7}\)
\(=7-3\frac{4}{7}\)
\(=6\frac{7}{7}-3\frac{4}{7}=3\frac{3}{7}\)
\(b)\left(7\frac{4}{9}+4\frac{7}{11}\right)-3\frac{4}{9}\)
\(=7\frac{4}{9}-4\frac{7}{11}-3\frac{4}{9}\)
\(=7\frac{4}{9}-3\frac{4}{9}-4\frac{7}{11}\)
\(=4-4\frac{7}{11}=\frac{7}{11}\)
\(A=\frac{7}{10.11}+\frac{7}{11.12}+\frac{7}{12.13}+...+\frac{7}{69.70}\)
\(=7.\frac{1}{10.11}+7.\frac{1}{11.12}+7.\frac{1}{12.13}+...+7.\frac{1}{69.70}\)
\(=7.\left(\frac{1}{10.11}+\frac{1}{11.12}+\frac{1}{12.13}+...+\frac{1}{69.70}\right)\)
\(=7.\left(\frac{1}{10}-\frac{1}{11}+\frac{1}{11}-\frac{1}{12}+\frac{1}{12}-\frac{1}{13}+...+\frac{1}{69}-\frac{1}{70}\right)\)
\(=7.\left(\frac{1}{10}-\frac{1}{70}\right)=7.\frac{3}{35}=\frac{3}{5}\)
\(A=7.\left(\frac{1}{10}-\frac{1}{70}\right)\)
\(=\frac{6}{70}\)
\(=\frac{3}{35}\)
a)(5\(\frac{2}{7}\). \(\frac{8}{11}\)+ \(\frac{2}{11}\).5\(\frac{2}{7}\)): 3\(\frac{4}{11}\)- 1\(\frac{3}{7}\)
= 5\(\frac{2}{7}\). (\(\frac{8}{11}\)+\(\frac{2}{11}\)):\(\frac{37}{11}\)-\(\frac{10}{7}\)
= \(\frac{37}{7}\).\(\frac{8}{11}\).\(\frac{11}{37}\)-\(\frac{10}{7}\)
= \(\frac{37.8.11}{7.11.37}\)- \(\frac{10}{7}\)
= \(\frac{8}{7}\)-\(\frac{10}{7}\)
= \(\frac{-2}{7}\)
a)\(=\frac{-3}{7}+\frac{15}{26}-\frac{2}{13}+\frac{3}{7}\)
\(=\left(\frac{-3}{7}+\frac{3}{7}\right)-\left(\frac{15}{26}+\frac{2}{13}\right)\)
\(=0-\frac{19}{26}\)
\(=-\frac{19}{26}\)
c)\(=\frac{-11}{23}.\left(\frac{6}{7}+\frac{8}{7}\right)-\frac{1}{23}\)
\(=\frac{-11}{23}.2-\frac{1}{23}\)
\(=\frac{-22}{23}-\frac{1}{23}\)
\(=-1\)