Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{-5}\right)+\left(\frac{-6}{-11}\right)\\= \frac{14}{5}+\frac{6}{11}\\=\frac{154}{55}+\frac{30}{55}\\=\frac{154+30}{55}\\=\frac{184}{55}\)
2. \(-\left(\frac{5}{4}\right)+\left(\frac{-9}{13}\right)\\= \frac{-5}{4}-\frac{9}{13}\\=\frac{-65}{52}-\frac{36}{52}\\=\frac{-65-36}{52}\\=\frac{-101}{52}\)
3. \(+\left(\frac{3}{-2}\right)+\left(\frac{7}{-2}\right)\\= \frac{-3}{2}-\frac{7}{2}\\=\frac{-3-7}{2}\\=\frac{-10}{2}\\=\frac{-5}{1}\)
4. \(+\left(\frac{-11}{6}\right)+\left(\frac{8}{9}\right)\\= \frac{-11}{6}+\frac{8}{9}\\=\frac{-33}{18}+\frac{16}{18}\\=\frac{-33+16}{18}\\=\frac{-17}{18}\)
5. \(+\left(\frac{-4}{9}\right)-\left(\frac{-10}{-9}\right)\\= \frac{-4}{9}-\frac{10}{9}\\=\frac{-4-10}{9}\\=\frac{-14}{9}\)
6. \(+\left(\frac{11}{2}\right)+\left(\frac{-13}{14}\right)\\= \frac{11}{2}-\frac{13}{14}\\=\frac{77}{14}-\frac{13}{14}\\=\frac{77-13}{14}\\=\frac{64}{14}\\=\frac{32}{7}\)
7. \(+\left(\frac{3}{-13}\right)+\left(\frac{-8}{5}\right)\\= \frac{-3}{13}-\frac{8}{5}\\=\frac{-15}{65}-\frac{104}{65}\\=\frac{-15-104}{65}\\=\frac{-119}{65}\)
8. \(+\left(\frac{-9}{4}\right)-\left(\frac{15}{-7}\right)\\= \frac{-9}{4}+\frac{15}{7}\\=\frac{-63}{28}+\frac{60}{28}\\=\frac{-63+60}{28}\\=\frac{-3}{28}\)
9. \(-\left(\frac{9}{4}\right)-\left(\frac{-2}{5}\right)\\= \frac{-9}{4}+\frac{2}{5}\\=\frac{-45}{20}+\frac{8}{20}\\=\frac{-45+8}{20}\\=\frac{-37}{20}\)
10. \(-\left(\frac{4}{7}\right)+\left(\frac{11}{7}\right)\\= \frac{-4}{7}+\frac{11}{7}\\=\frac{-4+11}{7}\\=\frac{7}{7}\\=\frac{1}{1}\)
11. \(-\left(\frac{-10}{11}\right)-\left(\frac{2}{13}\right)\\= \frac{10}{11}-\frac{2}{13}\\=\frac{130}{143}-\frac{22}{143}\\=\frac{130-22}{143}\\=\frac{108}{143}\)
12. \(+\left(\frac{-14}{9}\right)+\left(\frac{14}{-11}\right)\\= \frac{-14}{9}-\frac{14}{11}\\=\frac{-154}{99}-\frac{126}{99}\\=\frac{-154-126}{99}\\=\frac{-280}{99}\)