Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{10}{11}\right)+\left(\frac{8}{-9}\right)\\= \frac{-10}{11}-\frac{8}{9}\\=\frac{-90}{99}-\frac{88}{99}\\=\frac{-90-88}{99}\\=\frac{-178}{99}\)
2. \(-\left(\frac{-10}{-13}\right)+\left(\frac{7}{13}\right)\\= \frac{-10}{13}+\frac{7}{13}\\=\frac{-10+7}{13}\\=\frac{-3}{13}\)
3. \(-\left(\frac{-14}{-9}\right)-\left(\frac{11}{12}\right)\\= \frac{-14}{9}-\frac{11}{12}\\=\frac{-56}{36}-\frac{33}{36}\\=\frac{-56-33}{36}\\=\frac{-89}{36}\)
4. \(+\left(\frac{5}{-2}\right)+\left(\frac{12}{-5}\right)\\= \frac{-5}{2}-\frac{12}{5}\\=\frac{-25}{10}-\frac{24}{10}\\=\frac{-25-24}{10}\\=\frac{-49}{10}\)
5. \(-\left(\frac{15}{7}\right)-\left(\frac{-7}{-11}\right)\\= \frac{-15}{7}-\frac{7}{11}\\=\frac{-165}{77}-\frac{49}{77}\\=\frac{-165-49}{77}\\=\frac{-214}{77}\)
6. \(+\left(\frac{-11}{10}\right)+\left(\frac{9}{4}\right)\\= \frac{-11}{10}+\frac{9}{4}\\=\frac{-22}{20}+\frac{45}{20}\\=\frac{-22+45}{20}\\=\frac{23}{20}\)
7. \(+\left(\frac{-12}{-11}\right)+\left(\frac{3}{10}\right)\\= \frac{12}{11}+\frac{3}{10}\\=\frac{120}{110}+\frac{33}{110}\\=\frac{120+33}{110}\\=\frac{153}{110}\)
8. \(+\left(\frac{13}{-3}\right)+\left(\frac{2}{-3}\right)\\= \frac{-13}{3}-\frac{2}{3}\\=\frac{-13-2}{3}\\=\frac{-15}{3}\\=\frac{-5}{1}\)
9. \(+\left(\frac{-14}{-11}\right)+\left(\frac{9}{-14}\right)\\= \frac{14}{11}-\frac{9}{14}\\=\frac{196}{154}-\frac{99}{154}\\=\frac{196-99}{154}\\=\frac{97}{154}\)
10. \(+\left(\frac{-3}{4}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-3}{4}+\frac{8}{7}\\=\frac{-21}{28}+\frac{32}{28}\\=\frac{-21+32}{28}\\=\frac{11}{28}\)
11. \(+\left(\frac{-11}{-6}\right)-\left(\frac{10}{11}\right)\\= \frac{11}{6}-\frac{10}{11}\\=\frac{121}{66}-\frac{60}{66}\\=\frac{121-60}{66}\\=\frac{61}{66}\)
12. \(-\left(\frac{-9}{2}\right)+\left(\frac{-2}{-11}\right)\\= \frac{9}{2}+\frac{2}{11}\\=\frac{99}{22}+\frac{4}{22}\\=\frac{99+4}{22}\\=\frac{103}{22}\)