Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{12}{-11}\right)+\left(\frac{-4}{5}\right)\\= \frac{12}{11}-\frac{4}{5}\\=\frac{60}{55}-\frac{44}{55}\\=\frac{60-44}{55}\\=\frac{16}{55}\)
2. \(+\left(\frac{-4}{-3}\right)+\left(\frac{7}{-13}\right)\\= \frac{4}{3}-\frac{7}{13}\\=\frac{52}{39}-\frac{21}{39}\\=\frac{52-21}{39}\\=\frac{31}{39}\)
3. \(-\left(\frac{4}{7}\right)+\left(\frac{-14}{-11}\right)\\= \frac{-4}{7}+\frac{14}{11}\\=\frac{-44}{77}+\frac{98}{77}\\=\frac{-44+98}{77}\\=\frac{54}{77}\)
4. \(+\left(\frac{13}{-5}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-13}{5}+\frac{11}{2}\\=\frac{-26}{10}+\frac{55}{10}\\=\frac{-26+55}{10}\\=\frac{29}{10}\)
5. \(-\left(\frac{4}{-7}\right)-\left(\frac{9}{2}\right)\\= \frac{4}{7}-\frac{9}{2}\\=\frac{8}{14}-\frac{63}{14}\\=\frac{8-63}{14}\\=\frac{-55}{14}\)
6. \(+\left(\frac{-10}{7}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-10}{7}-\frac{4}{3}\\=\frac{-30}{21}-\frac{28}{21}\\=\frac{-30-28}{21}\\=\frac{-58}{21}\)
7. \(-\left(\frac{-5}{2}\right)-\left(\frac{14}{-9}\right)\\= \frac{5}{2}+\frac{14}{9}\\=\frac{45}{18}+\frac{28}{18}\\=\frac{45+28}{18}\\=\frac{73}{18}\)
8. \(-\left(\frac{-13}{4}\right)+\left(\frac{13}{-4}\right)\\= \frac{13}{4}-\frac{13}{4}\\=\frac{13-13}{4}\\=\frac{0}{4}\\=\frac{0}{1}\)
9. \(+\left(\frac{7}{11}\right)+\left(\frac{-4}{13}\right)\\= \frac{7}{11}-\frac{4}{13}\\=\frac{91}{143}-\frac{44}{143}\\=\frac{91-44}{143}\\=\frac{47}{143}\)
10. \(+\left(\frac{-4}{-9}\right)-\left(\frac{6}{-5}\right)\\= \frac{4}{9}+\frac{6}{5}\\=\frac{20}{45}+\frac{54}{45}\\=\frac{20+54}{45}\\=\frac{74}{45}\)
11. \(+\left(\frac{9}{-13}\right)+\left(\frac{-3}{4}\right)\\= \frac{-9}{13}-\frac{3}{4}\\=\frac{-36}{52}-\frac{39}{52}\\=\frac{-36-39}{52}\\=\frac{-75}{52}\)
12. \(-\left(\frac{2}{7}\right)+\left(\frac{10}{-3}\right)\\= \frac{-2}{7}-\frac{10}{3}\\=\frac{-6}{21}-\frac{70}{21}\\=\frac{-6-70}{21}\\=\frac{-76}{21}\)