Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{-5}\right)-\left(\frac{12}{-5}\right)\\= \frac{4}{5}+\frac{12}{5}\\=\frac{4+12}{5}\\=\frac{16}{5}\)
2. \(-\left(\frac{13}{3}\right)+\left(\frac{-13}{3}\right)\\= \frac{-13}{3}-\frac{13}{3}\\=\frac{-13-13}{3}\\=\frac{-26}{3}\)
3. \(+\left(\frac{11}{-4}\right)+\left(\frac{9}{-4}\right)\\= \frac{-11}{4}-\frac{9}{4}\\=\frac{-11-9}{4}\\=\frac{-20}{4}\\=\frac{-5}{1}\)
4. \(-\left(\frac{15}{8}\right)+\left(\frac{8}{13}\right)\\= \frac{-15}{8}+\frac{8}{13}\\=\frac{-195}{104}+\frac{64}{104}\\=\frac{-195+64}{104}\\=\frac{-131}{104}\)
5. \(-\left(\frac{13}{-7}\right)+\left(\frac{-13}{9}\right)\\= \frac{13}{7}-\frac{13}{9}\\=\frac{117}{63}-\frac{91}{63}\\=\frac{117-91}{63}\\=\frac{26}{63}\)
6. \(+\left(\frac{-14}{13}\right)+\left(\frac{14}{9}\right)\\= \frac{-14}{13}+\frac{14}{9}\\=\frac{-126}{117}+\frac{182}{117}\\=\frac{-126+182}{117}\\=\frac{56}{117}\)
7. \(-\left(\frac{11}{-8}\right)-\left(\frac{-6}{5}\right)\\= \frac{11}{8}+\frac{6}{5}\\=\frac{55}{40}+\frac{48}{40}\\=\frac{55+48}{40}\\=\frac{103}{40}\)
8. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-9}{5}\right)\\= \frac{-6}{5}+\frac{9}{5}\\=\frac{-6+9}{5}\\=\frac{3}{5}\)
9. \(+\left(\frac{-15}{8}\right)-\left(\frac{7}{12}\right)\\= \frac{-15}{8}-\frac{7}{12}\\=\frac{-45}{24}-\frac{14}{24}\\=\frac{-45-14}{24}\\=\frac{-59}{24}\)
10. \(+\left(\frac{14}{9}\right)+\left(\frac{-15}{7}\right)\\= \frac{14}{9}-\frac{15}{7}\\=\frac{98}{63}-\frac{135}{63}\\=\frac{98-135}{63}\\=\frac{-37}{63}\)
11. \(+\left(\frac{-13}{5}\right)+\left(\frac{-3}{-8}\right)\\= \frac{-13}{5}+\frac{3}{8}\\=\frac{-104}{40}+\frac{15}{40}\\=\frac{-104+15}{40}\\=\frac{-89}{40}\)
12. \(-\left(\frac{12}{5}\right)+\left(\frac{-14}{-13}\right)\\= \frac{-12}{5}+\frac{14}{13}\\=\frac{-156}{65}+\frac{70}{65}\\=\frac{-156+70}{65}\\=\frac{-86}{65}\)