Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{13}\right)+\left(\frac{7}{-5}\right)\\= \frac{-3}{13}-\frac{7}{5}\\=\frac{-15}{65}-\frac{91}{65}\\=\frac{-15-91}{65}\\=\frac{-106}{65}\)
2. \(-\left(\frac{13}{-6}\right)-\left(\frac{-9}{11}\right)\\= \frac{13}{6}+\frac{9}{11}\\=\frac{143}{66}+\frac{54}{66}\\=\frac{143+54}{66}\\=\frac{197}{66}\)
3. \(-\left(\frac{2}{11}\right)-\left(\frac{7}{-2}\right)\\= \frac{-2}{11}+\frac{7}{2}\\=\frac{-4}{22}+\frac{77}{22}\\=\frac{-4+77}{22}\\=\frac{73}{22}\)
4. \(+\left(\frac{13}{-8}\right)+\left(\frac{-14}{-13}\right)\\= \frac{-13}{8}+\frac{14}{13}\\=\frac{-169}{104}+\frac{112}{104}\\=\frac{-169+112}{104}\\=\frac{-57}{104}\)
5. \(+\left(\frac{8}{13}\right)-\left(\frac{-12}{-7}\right)\\= \frac{8}{13}-\frac{12}{7}\\=\frac{56}{91}-\frac{156}{91}\\=\frac{56-156}{91}\\=\frac{-100}{91}\)
6. \(-\left(\frac{3}{-11}\right)-\left(\frac{3}{-5}\right)\\= \frac{3}{11}+\frac{3}{5}\\=\frac{15}{55}+\frac{33}{55}\\=\frac{15+33}{55}\\=\frac{48}{55}\)
7. \(+\left(\frac{11}{-5}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-11}{5}+\frac{14}{11}\\=\frac{-121}{55}+\frac{70}{55}\\=\frac{-121+70}{55}\\=\frac{-51}{55}\)
8. \(+\left(\frac{6}{-5}\right)+\left(\frac{2}{-5}\right)\\= \frac{-6}{5}-\frac{2}{5}\\=\frac{-6-2}{5}\\=\frac{-8}{5}\)
9. \(-\left(\frac{15}{-13}\right)+\left(\frac{12}{-11}\right)\\= \frac{15}{13}-\frac{12}{11}\\=\frac{165}{143}-\frac{156}{143}\\=\frac{165-156}{143}\\=\frac{9}{143}\)
10. \(+\left(\frac{10}{-9}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-10}{9}+\frac{11}{2}\\=\frac{-20}{18}+\frac{99}{18}\\=\frac{-20+99}{18}\\=\frac{79}{18}\)
11. \(+\left(\frac{-11}{3}\right)-\left(\frac{10}{7}\right)\\= \frac{-11}{3}-\frac{10}{7}\\=\frac{-77}{21}-\frac{30}{21}\\=\frac{-77-30}{21}\\=\frac{-107}{21}\)
12. \(-\left(\frac{10}{-3}\right)-\left(\frac{-8}{-3}\right)\\= \frac{10}{3}-\frac{8}{3}\\=\frac{10-8}{3}\\=\frac{2}{3}\)