Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{13}\right)+\left(\frac{-2}{-9}\right)\\= \frac{-2}{13}+\frac{2}{9}\\=\frac{-18}{117}+\frac{26}{117}\\=\frac{-18+26}{117}\\=\frac{8}{117}\)
2. \(+\left(\frac{-8}{-7}\right)+\left(\frac{-9}{13}\right)\\= \frac{8}{7}-\frac{9}{13}\\=\frac{104}{91}-\frac{63}{91}\\=\frac{104-63}{91}\\=\frac{41}{91}\)
3. \(+\left(\frac{-3}{-13}\right)-\left(\frac{13}{5}\right)\\= \frac{3}{13}-\frac{13}{5}\\=\frac{15}{65}-\frac{169}{65}\\=\frac{15-169}{65}\\=\frac{-154}{65}\)
4. \(+\left(\frac{-9}{-8}\right)-\left(\frac{15}{-8}\right)\\= \frac{9}{8}+\frac{15}{8}\\=\frac{9+15}{8}\\=\frac{24}{8}\\=\frac{3}{1}\)
5. \(+\left(\frac{-11}{12}\right)-\left(\frac{15}{11}\right)\\= \frac{-11}{12}-\frac{15}{11}\\=\frac{-121}{132}-\frac{180}{132}\\=\frac{-121-180}{132}\\=\frac{-301}{132}\)
6. \(+\left(\frac{-6}{-11}\right)-\left(\frac{3}{-11}\right)\\= \frac{6}{11}+\frac{3}{11}\\=\frac{6+3}{11}\\=\frac{9}{11}\)
7. \(-\left(\frac{14}{11}\right)+\left(\frac{-9}{4}\right)\\= \frac{-14}{11}-\frac{9}{4}\\=\frac{-56}{44}-\frac{99}{44}\\=\frac{-56-99}{44}\\=\frac{-155}{44}\)
8. \(+\left(\frac{-2}{13}\right)-\left(\frac{2}{-5}\right)\\= \frac{-2}{13}+\frac{2}{5}\\=\frac{-10}{65}+\frac{26}{65}\\=\frac{-10+26}{65}\\=\frac{16}{65}\)
9. \(-\left(\frac{15}{-14}\right)-\left(\frac{5}{-11}\right)\\= \frac{15}{14}+\frac{5}{11}\\=\frac{165}{154}+\frac{70}{154}\\=\frac{165+70}{154}\\=\frac{235}{154}\)
10. \(+\left(\frac{15}{4}\right)-\left(\frac{2}{9}\right)\\= \frac{15}{4}-\frac{2}{9}\\=\frac{135}{36}-\frac{8}{36}\\=\frac{135-8}{36}\\=\frac{127}{36}\)
11. \(+\left(\frac{5}{2}\right)-\left(\frac{4}{3}\right)\\= \frac{5}{2}-\frac{4}{3}\\=\frac{15}{6}-\frac{8}{6}\\=\frac{15-8}{6}\\=\frac{7}{6}\)
12. \(+\left(\frac{-6}{-5}\right)+\left(\frac{7}{-11}\right)\\= \frac{6}{5}-\frac{7}{11}\\=\frac{66}{55}-\frac{35}{55}\\=\frac{66-35}{55}\\=\frac{31}{55}\)