Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(+\left(\frac{9}{-2}\right) +\left(\frac{-2}{-4}\right) -\left(\frac{7}{9}\right)\)
2. \(-\left(\frac{4}{5}\right) -\left(\frac{8}{-7}\right) -\left(\frac{-4}{-10}\right)\)
3. \(+\left(\frac{-5}{-3}\right) -\left(\frac{-10}{10}\right) -\left(\frac{3}{2}\right)\)
4. \(+\left(\frac{-4}{-9}\right) -\left(\frac{-8}{8}\right) -\left(\frac{-7}{-10}\right)\)
5. \(+\left(\frac{6}{-5}\right) -\left(\frac{-9}{8}\right) +\left(\frac{11}{9}\right)\)
6. \(-\left(\frac{5}{4}\right) +\left(\frac{9}{9}\right) -\left(\frac{10}{-5}\right)\)
7. \(+\left(\frac{-8}{-9}\right) -\left(\frac{4}{-9}\right) -\left(\frac{-11}{8}\right)\)
8. \(+\left(\frac{8}{-3}\right) -\left(\frac{-7}{-10}\right) +\left(\frac{-9}{-4}\right)\)
9. \(-\left(\frac{-4}{-7}\right) -\left(\frac{-6}{7}\right) -\left(\frac{-2}{-11}\right)\)
10. \(+\left(\frac{-7}{-2}\right) -\left(\frac{-10}{6}\right) +\left(\frac{2}{-10}\right)\)
11. \(+\left(\frac{-7}{5}\right) +\left(\frac{5}{10}\right) -\left(\frac{7}{-6}\right)\)
12. \(-\left(\frac{6}{7}\right) -\left(\frac{-9}{9}\right) -\left(\frac{-8}{3}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{-2}\right) +\left(\frac{-2}{-4}\right) -\left(\frac{7}{9}\right)\\= \frac{-9}{2}+ \frac{2}{4}-\frac{7}{9}\\=\frac{-9}{2}+\frac{1}{2}-\frac{7}{9}\\=\frac{-81}{18}+\frac{9}{18}-\frac{14}{18}\\=\frac{-81+9-14}{18}\\=\frac{-86}{18}\\=\frac{-43}{9}\)
2. \(-\left(\frac{4}{5}\right) -\left(\frac{8}{-7}\right) -\left(\frac{-4}{-10}\right)\\= \frac{-4}{5}+ \frac{8}{7}-\frac{4}{10}\\=\frac{-4}{5}+\frac{8}{7}-\frac{2}{5}\\=\frac{-28}{35}+\frac{40}{35}-\frac{14}{35}\\=\frac{-28+40-14}{35}\\=\frac{-2}{35}\)
3. \(+\left(\frac{-5}{-3}\right) -\left(\frac{-10}{10}\right) -\left(\frac{3}{2}\right)\\= \frac{5}{3}+ \frac{10}{10}-\frac{3}{2}\\=\frac{5}{3}+\frac{1}{1}-\frac{3}{2}\\=\frac{10}{6}+\frac{6}{6}-\frac{9}{6}\\=\frac{10+6-9}{6}\\=\frac{7}{6}\)
4. \(+\left(\frac{-4}{-9}\right) -\left(\frac{-8}{8}\right) -\left(\frac{-7}{-10}\right)\\= \frac{4}{9}+ \frac{8}{8}-\frac{7}{10}\\=\frac{4}{9}+\frac{1}{1}-\frac{7}{10}\\=\frac{40}{90}+\frac{90}{90}-\frac{63}{90}\\=\frac{40+90-63}{90}\\=\frac{67}{90}\)
5. \(+\left(\frac{6}{-5}\right) -\left(\frac{-9}{8}\right) +\left(\frac{11}{9}\right)\\= \frac{-6}{5}+ \frac{9}{8}+\frac{11}{9}\\=\frac{-432}{360}+\frac{405}{360}+\frac{440}{360}\\=\frac{-432+405+440}{360}\\=\frac{413}{360}\)
6. \(-\left(\frac{5}{4}\right) +\left(\frac{9}{9}\right) -\left(\frac{10}{-5}\right)\\= \frac{-5}{4}+ \frac{9}{9}+\frac{10}{5}\\=\frac{-5}{4}+\frac{1}{1}+\frac{2}{1}\\=\frac{-5+1+2}{4}\\=\frac{-2}{4}\\=\frac{-1}{2}\)
7. \(+\left(\frac{-8}{-9}\right) -\left(\frac{4}{-9}\right) -\left(\frac{-11}{8}\right)\\= \frac{8}{9}+ \frac{4}{9}+\frac{11}{8}\\=\frac{64}{72}+\frac{32}{72}+\frac{99}{72}\\=\frac{64+32+99}{72}\\=\frac{195}{72}\\=\frac{65}{24}\)
8. \(+\left(\frac{8}{-3}\right) -\left(\frac{-7}{-10}\right) +\left(\frac{-9}{-4}\right)\\= \frac{-8}{3}- \frac{7}{10}+\frac{9}{4}\\=\frac{-160}{60}-\frac{42}{60}+\frac{135}{60}\\=\frac{-160-42+135}{60}\\=\frac{-67}{60}\)
9. \(-\left(\frac{-4}{-7}\right) -\left(\frac{-6}{7}\right) -\left(\frac{-2}{-11}\right)\\= \frac{-4}{7}+ \frac{6}{7}-\frac{2}{11}\\=\frac{-44}{77}+\frac{66}{77}-\frac{14}{77}\\=\frac{-44+66-14}{77}\\=\frac{8}{77}\)
10. \(+\left(\frac{-7}{-2}\right) -\left(\frac{-10}{6}\right) +\left(\frac{2}{-10}\right)\\= \frac{7}{2}+ \frac{10}{6}-\frac{2}{10}\\=\frac{7}{2}+\frac{5}{3}-\frac{1}{5}\\=\frac{105}{30}+\frac{50}{30}-\frac{6}{30}\\=\frac{105+50-6}{30}\\=\frac{149}{30}\)
11. \(+\left(\frac{-7}{5}\right) +\left(\frac{5}{10}\right) -\left(\frac{7}{-6}\right)\\= \frac{-7}{5}+ \frac{5}{10}+\frac{7}{6}\\=\frac{-7}{5}+\frac{1}{2}+\frac{7}{6}\\=\frac{-42}{30}+\frac{15}{30}+\frac{35}{30}\\=\frac{-42+15+35}{30}\\=\frac{8}{30}\\=\frac{4}{15}\)
12. \(-\left(\frac{6}{7}\right) -\left(\frac{-9}{9}\right) -\left(\frac{-8}{3}\right)\\= \frac{-6}{7}+ \frac{9}{9}+\frac{8}{3}\\=\frac{-6}{7}+\frac{1}{1}+\frac{8}{3}\\=\frac{-18}{21}+\frac{21}{21}+\frac{56}{21}\\=\frac{-18+21+56}{21}\\=\frac{59}{21}\)