(45/13+-32/7)+(18/7+-58/13)
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\(\dfrac{1}{7}-\left(-\dfrac{3}{5}\right)+\dfrac{6}{7}-\left|-\dfrac{1}{5}\right|=1+\dfrac{3}{5}+\dfrac{1}{5}=\dfrac{9}{5}\\ \dfrac{8}{13}\cdot\dfrac{11}{18}+\dfrac{7}{18}\cdot\dfrac{8}{13}-1\dfrac{8}{13}=\dfrac{8}{13}\left(\dfrac{11}{18}+\dfrac{7}{18}+1\right)=\dfrac{8}{13}\cdot2=\dfrac{16}{13}\)
\(\dfrac{1}{7}-\left(-\dfrac{3}{5}\right)+\dfrac{6}{7}-\left|-\dfrac{1}{5}\right|\)
\(=\dfrac{1}{7}+\dfrac{3}{5}+\dfrac{6}{7}-\dfrac{1}{5}\)
\(=1+\dfrac{2}{5}=\dfrac{7}{5}\)
a)=20.(-6)+42.(-20)
=-120+(-840)=-960
b)=-15.26-26.(-24)
=-390+624=234
c)=-54.9+35.(-119)
=-486-4165=-4651
d)=25.(-72+21-49)
=25.(-100)=-2500
\(\frac{-5}{16}-\frac{21}{40}\)= \(\frac{-25}{80}-\frac{42}{80}=\frac{\left(-25\right)-42}{80}=\frac{-67}{80}\)
\(\frac{7}{45}-\frac{7}{18}=\frac{14}{90}-\frac{35}{90}=\frac{14-35}{90}=\frac{-21}{90}=\frac{-7}{30}\)
\(\left|\frac{-27}{32}\right|-\left|\frac{-13}{28}\right|=\frac{27}{32}-\frac{13}{28}=\frac{189}{224}-\frac{104}{224}=\frac{85}{224}\)
\(1.\) \(\dfrac{7}{36}-\dfrac{8}{-9}+\dfrac{-2}{3}=\dfrac{7}{36}+\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{7+32-24}{36}=\dfrac{5}{12}.\)
\(2.\) \(\dfrac{-1}{2}+\dfrac{3}{7}-\dfrac{1}{9}+\dfrac{-7}{18}+\dfrac{4}{7}=\dfrac{-9-2-7}{18}+\dfrac{4+3}{7}=\dfrac{-18}{18}+\dfrac{7}{7}=-1+1=0.\)
\(3.\) \(-\dfrac{10}{3}+\dfrac{13}{10}-\dfrac{1}{6}+\dfrac{1}{10}=\dfrac{13+1}{10}+\dfrac{-20-1}{6}=\dfrac{14}{10}+\dfrac{-21}{6}=\dfrac{7}{5}-\dfrac{7}{2}=-\dfrac{21}{10}.\)
\(4.\) \(\dfrac{10}{17}-\dfrac{5}{13}-\left(-\dfrac{7}{17}\right)-\dfrac{8}{13}+\dfrac{11}{25}=\dfrac{10+7}{17}+\dfrac{-5-8}{13}+\dfrac{11}{25}=\dfrac{17}{17}-\dfrac{13}{13}+\dfrac{11}{25}=\dfrac{11}{25}.\)
1: \(=\dfrac{7}{36}+\dfrac{32}{36}+\dfrac{-24}{36}=\dfrac{15}{36}=\dfrac{5}{12}\)
2: \(=\left(-\dfrac{1}{2}-\dfrac{1}{9}-\dfrac{7}{18}\right)+\dfrac{3}{7}+\dfrac{4}{7}\)
\(=\dfrac{-9-2-7}{18}+1=-1+1=0\)
3: \(=\left(-\dfrac{10}{3}-\dfrac{1}{6}\right)+\dfrac{14}{10}\)
\(=-\dfrac{21}{6}+\dfrac{14}{10}=\dfrac{-7}{2}+\dfrac{14}{10}=\dfrac{-35+14}{10}=-\dfrac{21}{10}\)
4: \(=\left(\dfrac{10}{17}+\dfrac{7}{17}\right)-\left(\dfrac{5}{13}+\dfrac{8}{13}\right)+\dfrac{11}{25}=\dfrac{11}{25}\)
;
= -101/91 + -172/91
= -3