Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{5}\right)+\left(\frac{6}{-5}\right)\\= \frac{2}{5}-\frac{6}{5}\\=\frac{2-6}{5}\\=\frac{-4}{5}\)
2. \(+\left(\frac{2}{-7}\right)+\left(\frac{11}{2}\right)\\= \frac{-2}{7}+\frac{11}{2}\\=\frac{-4}{14}+\frac{77}{14}\\=\frac{-4+77}{14}\\=\frac{73}{14}\)
3. \(-\left(\frac{-12}{7}\right)-\left(\frac{-4}{-5}\right)\\= \frac{12}{7}-\frac{4}{5}\\=\frac{60}{35}-\frac{28}{35}\\=\frac{60-28}{35}\\=\frac{32}{35}\)
4. \(-\left(\frac{12}{-7}\right)+\left(\frac{8}{7}\right)\\= \frac{12}{7}+\frac{8}{7}\\=\frac{12+8}{7}\\=\frac{20}{7}\)
5. \(-\left(\frac{-14}{-5}\right)+\left(\frac{-15}{-2}\right)\\= \frac{-14}{5}+\frac{15}{2}\\=\frac{-28}{10}+\frac{75}{10}\\=\frac{-28+75}{10}\\=\frac{47}{10}\)
6. \(-\left(\frac{5}{-11}\right)-\left(\frac{6}{13}\right)\\= \frac{5}{11}-\frac{6}{13}\\=\frac{65}{143}-\frac{66}{143}\\=\frac{65-66}{143}\\=\frac{-1}{143}\)
7. \(-\left(\frac{-6}{5}\right)-\left(\frac{5}{-2}\right)\\= \frac{6}{5}+\frac{5}{2}\\=\frac{12}{10}+\frac{25}{10}\\=\frac{12+25}{10}\\=\frac{37}{10}\)
8. \(+\left(\frac{13}{-14}\right)+\left(\frac{10}{11}\right)\\= \frac{-13}{14}+\frac{10}{11}\\=\frac{-143}{154}+\frac{140}{154}\\=\frac{-143+140}{154}\\=\frac{-3}{154}\)
9. \(-\left(\frac{2}{13}\right)-\left(\frac{-13}{11}\right)\\= \frac{-2}{13}+\frac{13}{11}\\=\frac{-22}{143}+\frac{169}{143}\\=\frac{-22+169}{143}\\=\frac{147}{143}\)
10. \(+\left(\frac{13}{-3}\right)-\left(\frac{13}{3}\right)\\= \frac{-13}{3}-\frac{13}{3}\\=\frac{-13-13}{3}\\=\frac{-26}{3}\)
11. \(-\left(\frac{-9}{-13}\right)+\left(\frac{-14}{5}\right)\\= \frac{-9}{13}-\frac{14}{5}\\=\frac{-45}{65}-\frac{182}{65}\\=\frac{-45-182}{65}\\=\frac{-227}{65}\)
12. \(-\left(\frac{10}{3}\right)-\left(\frac{13}{-5}\right)\\= \frac{-10}{3}+\frac{13}{5}\\=\frac{-50}{15}+\frac{39}{15}\\=\frac{-50+39}{15}\\=\frac{-11}{15}\)