Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{3}\right)-\left(\frac{15}{11}\right)\\= \frac{-2}{3}-\frac{15}{11}\\=\frac{-22}{33}-\frac{45}{33}\\=\frac{-22-45}{33}\\=\frac{-67}{33}\)
2. \(-\left(\frac{-8}{3}\right)+\left(\frac{15}{13}\right)\\= \frac{8}{3}+\frac{15}{13}\\=\frac{104}{39}+\frac{45}{39}\\=\frac{104+45}{39}\\=\frac{149}{39}\)
3. \(-\left(\frac{-7}{-13}\right)+\left(\frac{-11}{2}\right)\\= \frac{-7}{13}-\frac{11}{2}\\=\frac{-14}{26}-\frac{143}{26}\\=\frac{-14-143}{26}\\=\frac{-157}{26}\)
4. \(-\left(\frac{-10}{-7}\right)+\left(\frac{-15}{-4}\right)\\= \frac{-10}{7}+\frac{15}{4}\\=\frac{-40}{28}+\frac{105}{28}\\=\frac{-40+105}{28}\\=\frac{65}{28}\)
5. \(+\left(\frac{-6}{-11}\right)-\left(\frac{-13}{-3}\right)\\= \frac{6}{11}-\frac{13}{3}\\=\frac{18}{33}-\frac{143}{33}\\=\frac{18-143}{33}\\=\frac{-125}{33}\)
6. \(+\left(\frac{-10}{13}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-10}{13}+\frac{14}{9}\\=\frac{-90}{117}+\frac{182}{117}\\=\frac{-90+182}{117}\\=\frac{92}{117}\)
7. \(-\left(\frac{-13}{14}\right)-\left(\frac{-10}{3}\right)\\= \frac{13}{14}+\frac{10}{3}\\=\frac{39}{42}+\frac{140}{42}\\=\frac{39+140}{42}\\=\frac{179}{42}\)
8. \(+\left(\frac{10}{11}\right)-\left(\frac{10}{-11}\right)\\= \frac{10}{11}+\frac{10}{11}\\=\frac{10+10}{11}\\=\frac{20}{11}\)
9. \(-\left(\frac{15}{-11}\right)-\left(\frac{-14}{3}\right)\\= \frac{15}{11}+\frac{14}{3}\\=\frac{45}{33}+\frac{154}{33}\\=\frac{45+154}{33}\\=\frac{199}{33}\)
10. \(+\left(\frac{-7}{-4}\right)-\left(\frac{-15}{7}\right)\\= \frac{7}{4}+\frac{15}{7}\\=\frac{49}{28}+\frac{60}{28}\\=\frac{49+60}{28}\\=\frac{109}{28}\)
11. \(-\left(\frac{4}{3}\right)-\left(\frac{-13}{11}\right)\\= \frac{-4}{3}+\frac{13}{11}\\=\frac{-44}{33}+\frac{39}{33}\\=\frac{-44+39}{33}\\=\frac{-5}{33}\)
12. \(-\left(\frac{5}{-6}\right)-\left(\frac{5}{3}\right)\\= \frac{5}{6}-\frac{5}{3}\\=\frac{5-5}{6}\\=\frac{0}{6}\\=\frac{0}{1}\)