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1)\(\frac{1}{7}\).(\(\frac{1}{3}\)+\(\frac{1}{2}\)-1)
=\(\frac{1}{7}\).\(\frac{-1}{6}\)
=\(\frac{-1}{42}\)
2)\(\frac{3}{5}\).(\(\frac{7}{9}\)+\(\frac{2}{9}\)+1)
=\(\frac{3}{5}\).2=\(\frac{6}{5}\)
3)=21.\(\frac{1}{7}\)-21.\(\frac{1}{5}\)+21.\(\frac{19}{21}\)
=3-\(\frac{21}{5}\)+19
=\(\frac{89}{5}\)
Bài 1 :
a) \(\frac{12}{21}-\frac{3}{7}+\left(-\frac{2}{3}\right)=\frac{4}{7}-\frac{3}{7}+\left(-\frac{2}{3}\right)=\frac{1}{7}-\frac{2}{3}=-\frac{11}{21}\)
b) \(\left(-\frac{25}{13}\right)+\left(-\frac{9}{17}\right)+\frac{12}{13}+\left(-\frac{25}{17}\right)\)
\(=\left[\left(-\frac{25}{13}\right)+\frac{12}{13}\right]+\left[\left(-\frac{9}{17}\right)+\left(-\frac{25}{17}\right)\right]\)
\(=-1+\left(-2\right)=-1-2=-3\)
c) \(\frac{5}{9}\cdot\frac{7}{13}+\frac{5}{9}\cdot\frac{9}{13}-\frac{5}{9}\cdot\frac{3}{13}=\frac{5}{9}\left(\frac{7}{13}+\frac{9}{13}-\frac{3}{13}\right)=\frac{5}{9}\cdot1=\frac{5}{9}\)
Bài 2 :
a) \(\frac{2}{3}x+\frac{5}{7}=\frac{3}{10}\)
=> \(\frac{2}{3}x=\frac{3}{10}-\frac{5}{7}=-\frac{29}{70}\)
=> \(x=\left(-\frac{29}{70}\right):\frac{2}{3}=\left(-\frac{29}{70}\right)\cdot\frac{3}{2}=-\frac{87}{140}\)
b) \(x:\frac{5}{2}-\frac{1}{2}=-\frac{2}{3}\)
=> \(x:\frac{5}{2}=-\frac{2}{3}+\frac{1}{2}=-\frac{1}{6}\)
=> \(x=\left(-\frac{1}{16}\right)\cdot\frac{5}{2}=-\frac{5}{32}\)
c) Bạn chỉ cần xét hai trường hợp âm và dương thôi :>
b) \(\frac{\frac{2}{3}+\frac{5}{7}+\frac{4}{21}}{\frac{5}{6}+\frac{11}{7}-\frac{7}{21}}\)
\(=\frac{\frac{29}{21}+\frac{4}{21}}{\frac{101}{42}-\frac{7}{21}}\)
\(=\frac{\frac{11}{7}}{\frac{29}{14}}\)
\(=\frac{22}{29}.\)
Chúc bạn học tốt!
=(7/14- 13/14):5/7-(-2/21+3/21):5/7
=-6/14* 7/5 -1/21*7/5
=(-6/14-1/21)*7/5
=-10/21*7/5
=-2/3
MÌNH CHẮC CHẮN VỚI BẠN LUÔN!!!!
\(\left(\frac{1}{2}-\frac{13}{14}\right):\frac{5}{7}-\left(-\frac{2}{21}+\frac{1}{7}:\frac{5}{7}\right)\)
\(=\left(\frac{7}{14}-\frac{13}{14}\right):\frac{5}{7}-\left(-\frac{2}{21}+\frac{3}{21}\right):\frac{5}{7}\)
\(=-\frac{6}{14}\times\frac{7}{5}-\frac{1}{21}\times\frac{7}{5}\)
\(=\left(-\frac{6}{14}-\frac{1}{21}\right)\times\frac{7}{5}\)
\(=-\frac{10}{21}\times\frac{7}{5}\)
\(=-\frac{2}{3}\)
\("k\)\(nha"\)
\(\left(2-\frac{5}{3}\right):\left(\frac{2}{7}+\frac{5}{21}-1\right)\)
\(=\left(\frac{6}{3}-\frac{5}{3}\right):\left(\frac{6}{21}+\frac{5}{21}-\frac{21}{21}\right)\)
\(=\left(\frac{6-5}{3}\right):\left(\frac{6+5-21}{21}\right)\)
\(=\frac{1}{3}:\left(\frac{-10}{21}\right)\)
\(=\frac{1}{3}.\left(\frac{-21}{10}\right)\)
\(=\frac{1.\left(-21\right)}{3.10}\)
\(=\frac{-21}{30}.\)
\(=\frac{-7}{10}.\)