Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-3}{10}\right)\\= \frac{-6}{5}+\frac{3}{10}\\=\frac{-12}{10}+\frac{3}{10}\\=\frac{-12+3}{10}\\=\frac{-9}{10}\)
2. \(+\left(\frac{-15}{-4}\right)-\left(\frac{-11}{6}\right)\\= \frac{15}{4}+\frac{11}{6}\\=\frac{45}{12}+\frac{22}{12}\\=\frac{45+22}{12}\\=\frac{67}{12}\)
3. \(-\left(\frac{-5}{6}\right)-\left(\frac{-6}{-5}\right)\\= \frac{5}{6}-\frac{6}{5}\\=\frac{25}{30}-\frac{36}{30}\\=\frac{25-36}{30}\\=\frac{-11}{30}\)
4. \(-\left(\frac{6}{13}\right)-\left(\frac{14}{-3}\right)\\= \frac{-6}{13}+\frac{14}{3}\\=\frac{-18}{39}+\frac{182}{39}\\=\frac{-18+182}{39}\\=\frac{164}{39}\)
5. \(+\left(\frac{3}{5}\right)+\left(\frac{13}{-6}\right)\\= \frac{3}{5}-\frac{13}{6}\\=\frac{18}{30}-\frac{65}{30}\\=\frac{18-65}{30}\\=\frac{-47}{30}\)
6. \(+\left(\frac{3}{-4}\right)-\left(\frac{-14}{-5}\right)\\= \frac{-3}{4}-\frac{14}{5}\\=\frac{-15}{20}-\frac{56}{20}\\=\frac{-15-56}{20}\\=\frac{-71}{20}\)
7. \(+\left(\frac{9}{4}\right)-\left(\frac{-10}{-13}\right)\\= \frac{9}{4}-\frac{10}{13}\\=\frac{117}{52}-\frac{40}{52}\\=\frac{117-40}{52}\\=\frac{77}{52}\)
8. \(-\left(\frac{15}{7}\right)-\left(\frac{-4}{-5}\right)\\= \frac{-15}{7}-\frac{4}{5}\\=\frac{-75}{35}-\frac{28}{35}\\=\frac{-75-28}{35}\\=\frac{-103}{35}\)
9. \(-\left(\frac{14}{13}\right)+\left(\frac{-2}{-3}\right)\\= \frac{-14}{13}+\frac{2}{3}\\=\frac{-42}{39}+\frac{26}{39}\\=\frac{-42+26}{39}\\=\frac{-16}{39}\)
10. \(+\left(\frac{11}{7}\right)-\left(\frac{-8}{-3}\right)\\= \frac{11}{7}-\frac{8}{3}\\=\frac{33}{21}-\frac{56}{21}\\=\frac{33-56}{21}\\=\frac{-23}{21}\)
11. \(-\left(\frac{11}{2}\right)-\left(\frac{-10}{3}\right)\\= \frac{-11}{2}+\frac{10}{3}\\=\frac{-33}{6}+\frac{20}{6}\\=\frac{-33+20}{6}\\=\frac{-13}{6}\)
12. \(+\left(\frac{2}{9}\right)+\left(\frac{-6}{-5}\right)\\= \frac{2}{9}+\frac{6}{5}\\=\frac{10}{45}+\frac{54}{45}\\=\frac{10+54}{45}\\=\frac{64}{45}\)