Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-7}\right)+\left(\frac{2}{-7}\right)\\= \frac{4}{7}-\frac{2}{7}\\=\frac{4-2}{7}\\=\frac{2}{7}\)
2. \(-\left(\frac{-14}{-3}\right)-\left(\frac{-2}{9}\right)\\= \frac{-14}{3}+\frac{2}{9}\\=\frac{-42}{9}+\frac{2}{9}\\=\frac{-42+2}{9}\\=\frac{-40}{9}\)
3. \(-\left(\frac{14}{-13}\right)+\left(\frac{-7}{9}\right)\\= \frac{14}{13}-\frac{7}{9}\\=\frac{126}{117}-\frac{91}{117}\\=\frac{126-91}{117}\\=\frac{35}{117}\)
4. \(+\left(\frac{-3}{-4}\right)-\left(\frac{-7}{2}\right)\\= \frac{3}{4}+\frac{7}{2}\\=\frac{3+7}{4}\\=\frac{10}{4}\\=\frac{5}{2}\)
5. \(+\left(\frac{-9}{10}\right)+\left(\frac{12}{-5}\right)\\= \frac{-9}{10}-\frac{12}{5}\\=\frac{-9-12}{10}\\=\frac{-21}{10}\)
6. \(+\left(\frac{5}{2}\right)-\left(\frac{-9}{7}\right)\\= \frac{5}{2}+\frac{9}{7}\\=\frac{35}{14}+\frac{18}{14}\\=\frac{35+18}{14}\\=\frac{53}{14}\)
7. \(-\left(\frac{-12}{-11}\right)+\left(\frac{-11}{-13}\right)\\= \frac{-12}{11}+\frac{11}{13}\\=\frac{-156}{143}+\frac{121}{143}\\=\frac{-156+121}{143}\\=\frac{-35}{143}\)
8. \(+\left(\frac{-3}{-13}\right)+\left(\frac{15}{-11}\right)\\= \frac{3}{13}-\frac{15}{11}\\=\frac{33}{143}-\frac{195}{143}\\=\frac{33-195}{143}\\=\frac{-162}{143}\)
9. \(+\left(\frac{15}{-11}\right)+\left(\frac{-10}{13}\right)\\= \frac{-15}{11}-\frac{10}{13}\\=\frac{-195}{143}-\frac{110}{143}\\=\frac{-195-110}{143}\\=\frac{-305}{143}\)
10. \(+\left(\frac{10}{13}\right)-\left(\frac{-12}{-5}\right)\\= \frac{10}{13}-\frac{12}{5}\\=\frac{50}{65}-\frac{156}{65}\\=\frac{50-156}{65}\\=\frac{-106}{65}\)
11. \(-\left(\frac{-2}{-3}\right)-\left(\frac{-7}{3}\right)\\= \frac{-2}{3}+\frac{7}{3}\\=\frac{-2+7}{3}\\=\frac{5}{3}\)
12. \(-\left(\frac{-13}{9}\right)+\left(\frac{15}{-11}\right)\\= \frac{13}{9}-\frac{15}{11}\\=\frac{143}{99}-\frac{135}{99}\\=\frac{143-135}{99}\\=\frac{8}{99}\)