Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{7}{2}\right)+\left(\frac{-6}{11}\right)\\= \frac{7}{2}-\frac{6}{11}\\=\frac{77}{22}-\frac{12}{22}\\=\frac{77-12}{22}\\=\frac{65}{22}\)
2. \(-\left(\frac{15}{-11}\right)-\left(\frac{5}{11}\right)\\= \frac{15}{11}-\frac{5}{11}\\=\frac{15-5}{11}\\=\frac{10}{11}\)
3. \(+\left(\frac{-2}{-13}\right)-\left(\frac{-10}{-7}\right)\\= \frac{2}{13}-\frac{10}{7}\\=\frac{14}{91}-\frac{130}{91}\\=\frac{14-130}{91}\\=\frac{-116}{91}\)
4. \(+\left(\frac{6}{-5}\right)-\left(\frac{-4}{7}\right)\\= \frac{-6}{5}+\frac{4}{7}\\=\frac{-42}{35}+\frac{20}{35}\\=\frac{-42+20}{35}\\=\frac{-22}{35}\)
5. \(-\left(\frac{-8}{-7}\right)+\left(\frac{6}{7}\right)\\= \frac{-8}{7}+\frac{6}{7}\\=\frac{-8+6}{7}\\=\frac{-2}{7}\)
6. \(+\left(\frac{-15}{2}\right)+\left(\frac{-11}{-3}\right)\\= \frac{-15}{2}+\frac{11}{3}\\=\frac{-45}{6}+\frac{22}{6}\\=\frac{-45+22}{6}\\=\frac{-23}{6}\)
7. \(+\left(\frac{11}{12}\right)+\left(\frac{10}{7}\right)\\= \frac{11}{12}+\frac{10}{7}\\=\frac{77}{84}+\frac{120}{84}\\=\frac{77+120}{84}\\=\frac{197}{84}\)
8. \(-\left(\frac{4}{3}\right)+\left(\frac{8}{-7}\right)\\= \frac{-4}{3}-\frac{8}{7}\\=\frac{-28}{21}-\frac{24}{21}\\=\frac{-28-24}{21}\\=\frac{-52}{21}\)
9. \(+\left(\frac{13}{-2}\right)+\left(\frac{10}{-7}\right)\\= \frac{-13}{2}-\frac{10}{7}\\=\frac{-91}{14}-\frac{20}{14}\\=\frac{-91-20}{14}\\=\frac{-111}{14}\)
10. \(+\left(\frac{-6}{13}\right)+\left(\frac{5}{-7}\right)\\= \frac{-6}{13}-\frac{5}{7}\\=\frac{-42}{91}-\frac{65}{91}\\=\frac{-42-65}{91}\\=\frac{-107}{91}\)
11. \(+\left(\frac{-3}{-8}\right)-\left(\frac{-9}{2}\right)\\= \frac{3}{8}+\frac{9}{2}\\=\frac{3+9}{8}\\=\frac{12}{8}\\=\frac{3}{2}\)
12. \(+\left(\frac{3}{-13}\right)+\left(\frac{15}{-11}\right)\\= \frac{-3}{13}-\frac{15}{11}\\=\frac{-33}{143}-\frac{195}{143}\\=\frac{-33-195}{143}\\=\frac{-228}{143}\)