Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{11}{-14}\right)-\left(\frac{13}{-2}\right)\\= \frac{-11}{14}+\frac{13}{2}\\=\frac{-11+13}{14}\\=\frac{2}{14}\\=\frac{1}{7}\)
2. \(+\left(\frac{-4}{3}\right)-\left(\frac{5}{-2}\right)\\= \frac{-4}{3}+\frac{5}{2}\\=\frac{-8}{6}+\frac{15}{6}\\=\frac{-8+15}{6}\\=\frac{7}{6}\)
3. \(-\left(\frac{-5}{2}\right)+\left(\frac{7}{12}\right)\\= \frac{5}{2}+\frac{7}{12}\\=\frac{30}{12}+\frac{7}{12}\\=\frac{30+7}{12}\\=\frac{37}{12}\)
4. \(-\left(\frac{8}{-7}\right)+\left(\frac{-8}{-13}\right)\\= \frac{8}{7}+\frac{8}{13}\\=\frac{104}{91}+\frac{56}{91}\\=\frac{104+56}{91}\\=\frac{160}{91}\)
5. \(+\left(\frac{11}{-12}\right)-\left(\frac{15}{-13}\right)\\= \frac{-11}{12}+\frac{15}{13}\\=\frac{-143}{156}+\frac{180}{156}\\=\frac{-143+180}{156}\\=\frac{37}{156}\)
6. \(-\left(\frac{-7}{8}\right)+\left(\frac{-3}{-11}\right)\\= \frac{7}{8}+\frac{3}{11}\\=\frac{77}{88}+\frac{24}{88}\\=\frac{77+24}{88}\\=\frac{101}{88}\)
7. \(+\left(\frac{4}{-9}\right)-\left(\frac{-3}{11}\right)\\= \frac{-4}{9}+\frac{3}{11}\\=\frac{-44}{99}+\frac{27}{99}\\=\frac{-44+27}{99}\\=\frac{-17}{99}\)
8. \(+\left(\frac{-12}{-5}\right)-\left(\frac{-15}{13}\right)\\= \frac{12}{5}+\frac{15}{13}\\=\frac{156}{65}+\frac{75}{65}\\=\frac{156+75}{65}\\=\frac{231}{65}\)
9. \(+\left(\frac{-15}{-4}\right)+\left(\frac{-9}{2}\right)\\= \frac{15}{4}-\frac{9}{2}\\=\frac{15-9}{4}\\=\frac{6}{4}\\=\frac{3}{2}\)
10. \(-\left(\frac{-10}{11}\right)-\left(\frac{-11}{-8}\right)\\= \frac{10}{11}-\frac{11}{8}\\=\frac{80}{88}-\frac{121}{88}\\=\frac{80-121}{88}\\=\frac{-41}{88}\)
11. \(-\left(\frac{-9}{13}\right)+\left(\frac{-9}{-11}\right)\\= \frac{9}{13}+\frac{9}{11}\\=\frac{99}{143}+\frac{117}{143}\\=\frac{99+117}{143}\\=\frac{216}{143}\)
12. \(-\left(\frac{4}{-3}\right)+\left(\frac{9}{10}\right)\\= \frac{4}{3}+\frac{9}{10}\\=\frac{40}{30}+\frac{27}{30}\\=\frac{40+27}{30}\\=\frac{67}{30}\)