Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{15}{7}\right)-\left(\frac{-6}{11}\right)\\= \frac{15}{7}+\frac{6}{11}\\=\frac{165}{77}+\frac{42}{77}\\=\frac{165+42}{77}\\=\frac{207}{77}\)
2. \(+\left(\frac{13}{-5}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-13}{5}-\frac{12}{11}\\=\frac{-143}{55}-\frac{60}{55}\\=\frac{-143-60}{55}\\=\frac{-203}{55}\)
3. \(-\left(\frac{-7}{12}\right)+\left(\frac{-8}{3}\right)\\= \frac{7}{12}-\frac{8}{3}\\=\frac{7-8}{12}\\=\frac{-1}{12}\)
4. \(+\left(\frac{14}{3}\right)+\left(\frac{-7}{3}\right)\\= \frac{14}{3}-\frac{7}{3}\\=\frac{14-7}{3}\\=\frac{7}{3}\)
5. \(+\left(\frac{-8}{7}\right)+\left(\frac{-11}{-14}\right)\\= \frac{-8}{7}+\frac{11}{14}\\=\frac{-16}{14}+\frac{11}{14}\\=\frac{-16+11}{14}\\=\frac{-5}{14}\)
6. \(+\left(\frac{7}{-13}\right)-\left(\frac{-15}{-2}\right)\\= \frac{-7}{13}-\frac{15}{2}\\=\frac{-14}{26}-\frac{195}{26}\\=\frac{-14-195}{26}\\=\frac{-209}{26}\)
7. \(+\left(\frac{-10}{-13}\right)+\left(\frac{-12}{11}\right)\\= \frac{10}{13}-\frac{12}{11}\\=\frac{110}{143}-\frac{156}{143}\\=\frac{110-156}{143}\\=\frac{-46}{143}\)
8. \(-\left(\frac{11}{8}\right)+\left(\frac{6}{7}\right)\\= \frac{-11}{8}+\frac{6}{7}\\=\frac{-77}{56}+\frac{48}{56}\\=\frac{-77+48}{56}\\=\frac{-29}{56}\)
9. \(-\left(\frac{-5}{4}\right)-\left(\frac{8}{-11}\right)\\= \frac{5}{4}+\frac{8}{11}\\=\frac{55}{44}+\frac{32}{44}\\=\frac{55+32}{44}\\=\frac{87}{44}\)
10. \(-\left(\frac{12}{5}\right)-\left(\frac{-6}{-7}\right)\\= \frac{-12}{5}-\frac{6}{7}\\=\frac{-84}{35}-\frac{30}{35}\\=\frac{-84-30}{35}\\=\frac{-114}{35}\)
11. \(-\left(\frac{-9}{-8}\right)-\left(\frac{12}{13}\right)\\= \frac{-9}{8}-\frac{12}{13}\\=\frac{-117}{104}-\frac{96}{104}\\=\frac{-117-96}{104}\\=\frac{-213}{104}\)
12. \(+\left(\frac{-11}{13}\right)-\left(\frac{2}{-9}\right)\\= \frac{-11}{13}+\frac{2}{9}\\=\frac{-99}{117}+\frac{26}{117}\\=\frac{-99+26}{117}\\=\frac{-73}{117}\)