Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{-11}\right)-\left(\frac{-6}{5}\right)\\= \frac{15}{11}+\frac{6}{5}\\=\frac{75}{55}+\frac{66}{55}\\=\frac{75+66}{55}\\=\frac{141}{55}\)
2. \(-\left(\frac{5}{11}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-5}{11}+\frac{12}{11}\\=\frac{-5+12}{11}\\=\frac{7}{11}\)
3. \(+\left(\frac{9}{-4}\right)+\left(\frac{14}{-9}\right)\\= \frac{-9}{4}-\frac{14}{9}\\=\frac{-81}{36}-\frac{56}{36}\\=\frac{-81-56}{36}\\=\frac{-137}{36}\)
4. \(+\left(\frac{5}{-2}\right)+\left(\frac{-3}{-2}\right)\\= \frac{-5}{2}+\frac{3}{2}\\=\frac{-5+3}{2}\\=\frac{-2}{2}\\=\frac{-1}{1}\)
5. \(+\left(\frac{4}{11}\right)-\left(\frac{-7}{3}\right)\\= \frac{4}{11}+\frac{7}{3}\\=\frac{12}{33}+\frac{77}{33}\\=\frac{12+77}{33}\\=\frac{89}{33}\)
6. \(+\left(\frac{11}{-4}\right)+\left(\frac{2}{9}\right)\\= \frac{-11}{4}+\frac{2}{9}\\=\frac{-99}{36}+\frac{8}{36}\\=\frac{-99+8}{36}\\=\frac{-91}{36}\)
7. \(-\left(\frac{-15}{-4}\right)+\left(\frac{15}{13}\right)\\= \frac{-15}{4}+\frac{15}{13}\\=\frac{-195}{52}+\frac{60}{52}\\=\frac{-195+60}{52}\\=\frac{-135}{52}\)
8. \(-\left(\frac{-13}{7}\right)-\left(\frac{-4}{-11}\right)\\= \frac{13}{7}-\frac{4}{11}\\=\frac{143}{77}-\frac{28}{77}\\=\frac{143-28}{77}\\=\frac{115}{77}\)
9. \(+\left(\frac{-10}{-7}\right)-\left(\frac{-3}{2}\right)\\= \frac{10}{7}+\frac{3}{2}\\=\frac{20}{14}+\frac{21}{14}\\=\frac{20+21}{14}\\=\frac{41}{14}\)
10. \(+\left(\frac{14}{9}\right)-\left(\frac{14}{-13}\right)\\= \frac{14}{9}+\frac{14}{13}\\=\frac{182}{117}+\frac{126}{117}\\=\frac{182+126}{117}\\=\frac{308}{117}\)
11. \(+\left(\frac{8}{-9}\right)-\left(\frac{-12}{-13}\right)\\= \frac{-8}{9}-\frac{12}{13}\\=\frac{-104}{117}-\frac{108}{117}\\=\frac{-104-108}{117}\\=\frac{-212}{117}\)
12. \(-\left(\frac{-2}{-9}\right)-\left(\frac{-3}{7}\right)\\= \frac{-2}{9}+\frac{3}{7}\\=\frac{-14}{63}+\frac{27}{63}\\=\frac{-14+27}{63}\\=\frac{13}{63}\)