Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(+\left(\frac{9}{-2}\right)+\left(\frac{-11}{-9}\right)\)
2. \(-\left(\frac{-13}{-3}\right)+\left(\frac{10}{3}\right)\)
3. \(+\left(\frac{14}{-9}\right)-\left(\frac{-5}{6}\right)\)
4. \(-\left(\frac{-2}{9}\right)+\left(\frac{-7}{-10}\right)\)
5. \(-\left(\frac{-3}{-8}\right)+\left(\frac{5}{-8}\right)\)
6. \(-\left(\frac{5}{-9}\right)+\left(\frac{15}{-2}\right)\)
7. \(-\left(\frac{-13}{-14}\right)-\left(\frac{-12}{-5}\right)\)
8. \(-\left(\frac{12}{-5}\right)-\left(\frac{7}{-2}\right)\)
9. \(+\left(\frac{-6}{11}\right)+\left(\frac{-2}{3}\right)\)
10. \(+\left(\frac{11}{-4}\right)-\left(\frac{-15}{-11}\right)\)
11. \(-\left(\frac{-11}{-14}\right)+\left(\frac{6}{-13}\right)\)
12. \(-\left(\frac{10}{-11}\right)+\left(\frac{-8}{11}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{9}{-2}\right)+\left(\frac{-11}{-9}\right)\\= \frac{-9}{2}+\frac{11}{9}\\=\frac{-81}{18}+\frac{22}{18}\\=\frac{-81+22}{18}\\=\frac{-59}{18}\)
2. \(-\left(\frac{-13}{-3}\right)+\left(\frac{10}{3}\right)\\= \frac{-13}{3}+\frac{10}{3}\\=\frac{-13+10}{3}\\=\frac{-3}{3}\\=\frac{-1}{1}\)
3. \(+\left(\frac{14}{-9}\right)-\left(\frac{-5}{6}\right)\\= \frac{-14}{9}+\frac{5}{6}\\=\frac{-28}{18}+\frac{15}{18}\\=\frac{-28+15}{18}\\=\frac{-13}{18}\)
4. \(-\left(\frac{-2}{9}\right)+\left(\frac{-7}{-10}\right)\\= \frac{2}{9}+\frac{7}{10}\\=\frac{20}{90}+\frac{63}{90}\\=\frac{20+63}{90}\\=\frac{83}{90}\)
5. \(-\left(\frac{-3}{-8}\right)+\left(\frac{5}{-8}\right)\\= \frac{-3}{8}-\frac{5}{8}\\=\frac{-3-5}{8}\\=\frac{-8}{8}\\=\frac{-1}{1}\)
6. \(-\left(\frac{5}{-9}\right)+\left(\frac{15}{-2}\right)\\= \frac{5}{9}-\frac{15}{2}\\=\frac{10}{18}-\frac{135}{18}\\=\frac{10-135}{18}\\=\frac{-125}{18}\)
7. \(-\left(\frac{-13}{-14}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-13}{14}-\frac{12}{5}\\=\frac{-65}{70}-\frac{168}{70}\\=\frac{-65-168}{70}\\=\frac{-233}{70}\)
8. \(-\left(\frac{12}{-5}\right)-\left(\frac{7}{-2}\right)\\= \frac{12}{5}+\frac{7}{2}\\=\frac{24}{10}+\frac{35}{10}\\=\frac{24+35}{10}\\=\frac{59}{10}\)
9. \(+\left(\frac{-6}{11}\right)+\left(\frac{-2}{3}\right)\\= \frac{-6}{11}-\frac{2}{3}\\=\frac{-18}{33}-\frac{22}{33}\\=\frac{-18-22}{33}\\=\frac{-40}{33}\)
10. \(+\left(\frac{11}{-4}\right)-\left(\frac{-15}{-11}\right)\\= \frac{-11}{4}-\frac{15}{11}\\=\frac{-121}{44}-\frac{60}{44}\\=\frac{-121-60}{44}\\=\frac{-181}{44}\)
11. \(-\left(\frac{-11}{-14}\right)+\left(\frac{6}{-13}\right)\\= \frac{-11}{14}-\frac{6}{13}\\=\frac{-143}{182}-\frac{84}{182}\\=\frac{-143-84}{182}\\=\frac{-227}{182}\)
12. \(-\left(\frac{10}{-11}\right)+\left(\frac{-8}{11}\right)\\= \frac{10}{11}-\frac{8}{11}\\=\frac{10-8}{11}\\=\frac{2}{11}\)