Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{11}{-13}\right)-\left(\frac{-15}{-11}\right)\\= \frac{-11}{13}-\frac{15}{11}\\=\frac{-121}{143}-\frac{195}{143}\\=\frac{-121-195}{143}\\=\frac{-316}{143}\)
2. \(-\left(\frac{13}{5}\right)-\left(\frac{-13}{-11}\right)\\= \frac{-13}{5}-\frac{13}{11}\\=\frac{-143}{55}-\frac{65}{55}\\=\frac{-143-65}{55}\\=\frac{-208}{55}\)
3. \(+\left(\frac{15}{7}\right)-\left(\frac{-9}{-13}\right)\\= \frac{15}{7}-\frac{9}{13}\\=\frac{195}{91}-\frac{63}{91}\\=\frac{195-63}{91}\\=\frac{132}{91}\)
4. \(+\left(\frac{8}{-7}\right)-\left(\frac{9}{-4}\right)\\= \frac{-8}{7}+\frac{9}{4}\\=\frac{-32}{28}+\frac{63}{28}\\=\frac{-32+63}{28}\\=\frac{31}{28}\)
5. \(+\left(\frac{-2}{-3}\right)+\left(\frac{-14}{9}\right)\\= \frac{2}{3}-\frac{14}{9}\\=\frac{6}{9}-\frac{14}{9}\\=\frac{6-14}{9}\\=\frac{-8}{9}\)
6. \(+\left(\frac{5}{8}\right)-\left(\frac{2}{5}\right)\\= \frac{5}{8}-\frac{2}{5}\\=\frac{25}{40}-\frac{16}{40}\\=\frac{25-16}{40}\\=\frac{9}{40}\)
7. \(-\left(\frac{6}{13}\right)+\left(\frac{7}{2}\right)\\= \frac{-6}{13}+\frac{7}{2}\\=\frac{-12}{26}+\frac{91}{26}\\=\frac{-12+91}{26}\\=\frac{79}{26}\)
8. \(-\left(\frac{-9}{11}\right)-\left(\frac{14}{11}\right)\\= \frac{9}{11}-\frac{14}{11}\\=\frac{9-14}{11}\\=\frac{-5}{11}\)
9. \(+\left(\frac{10}{-7}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-10}{7}+\frac{6}{5}\\=\frac{-50}{35}+\frac{42}{35}\\=\frac{-50+42}{35}\\=\frac{-8}{35}\)
10. \(-\left(\frac{15}{4}\right)-\left(\frac{-14}{-9}\right)\\= \frac{-15}{4}-\frac{14}{9}\\=\frac{-135}{36}-\frac{56}{36}\\=\frac{-135-56}{36}\\=\frac{-191}{36}\)
11. \(+\left(\frac{-8}{-3}\right)-\left(\frac{4}{7}\right)\\= \frac{8}{3}-\frac{4}{7}\\=\frac{56}{21}-\frac{12}{21}\\=\frac{56-12}{21}\\=\frac{44}{21}\)
12. \(-\left(\frac{-5}{-9}\right)-\left(\frac{9}{-4}\right)\\= \frac{-5}{9}+\frac{9}{4}\\=\frac{-20}{36}+\frac{81}{36}\\=\frac{-20+81}{36}\\=\frac{61}{36}\)