Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{-7}\right)-\left(\frac{8}{7}\right)\\= \frac{-5}{7}-\frac{8}{7}\\=\frac{-5-8}{7}\\=\frac{-13}{7}\)
2. \(-\left(\frac{-10}{-9}\right)-\left(\frac{4}{-13}\right)\\= \frac{-10}{9}+\frac{4}{13}\\=\frac{-130}{117}+\frac{36}{117}\\=\frac{-130+36}{117}\\=\frac{-94}{117}\)
3. \(+\left(\frac{12}{-5}\right)+\left(\frac{3}{13}\right)\\= \frac{-12}{5}+\frac{3}{13}\\=\frac{-156}{65}+\frac{15}{65}\\=\frac{-156+15}{65}\\=\frac{-141}{65}\)
4. \(-\left(\frac{-9}{-4}\right)+\left(\frac{-15}{-13}\right)\\= \frac{-9}{4}+\frac{15}{13}\\=\frac{-117}{52}+\frac{60}{52}\\=\frac{-117+60}{52}\\=\frac{-57}{52}\)
5. \(-\left(\frac{-13}{-4}\right)-\left(\frac{3}{7}\right)\\= \frac{-13}{4}-\frac{3}{7}\\=\frac{-91}{28}-\frac{12}{28}\\=\frac{-91-12}{28}\\=\frac{-103}{28}\)
6. \(-\left(\frac{-12}{7}\right)-\left(\frac{7}{-2}\right)\\= \frac{12}{7}+\frac{7}{2}\\=\frac{24}{14}+\frac{49}{14}\\=\frac{24+49}{14}\\=\frac{73}{14}\)
7. \(-\left(\frac{-10}{-11}\right)-\left(\frac{-3}{-5}\right)\\= \frac{-10}{11}-\frac{3}{5}\\=\frac{-50}{55}-\frac{33}{55}\\=\frac{-50-33}{55}\\=\frac{-83}{55}\)
8. \(-\left(\frac{-6}{13}\right)-\left(\frac{4}{-5}\right)\\= \frac{6}{13}+\frac{4}{5}\\=\frac{30}{65}+\frac{52}{65}\\=\frac{30+52}{65}\\=\frac{82}{65}\)
9. \(+\left(\frac{13}{-8}\right)+\left(\frac{-3}{13}\right)\\= \frac{-13}{8}-\frac{3}{13}\\=\frac{-169}{104}-\frac{24}{104}\\=\frac{-169-24}{104}\\=\frac{-193}{104}\)
10. \(+\left(\frac{14}{-5}\right)-\left(\frac{15}{-7}\right)\\= \frac{-14}{5}+\frac{15}{7}\\=\frac{-98}{35}+\frac{75}{35}\\=\frac{-98+75}{35}\\=\frac{-23}{35}\)
11. \(-\left(\frac{-14}{-9}\right)-\left(\frac{-10}{7}\right)\\= \frac{-14}{9}+\frac{10}{7}\\=\frac{-98}{63}+\frac{90}{63}\\=\frac{-98+90}{63}\\=\frac{-8}{63}\)
12. \(-\left(\frac{-4}{-9}\right)-\left(\frac{14}{-9}\right)\\= \frac{-4}{9}+\frac{14}{9}\\=\frac{-4+14}{9}\\=\frac{10}{9}\)