Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{8}{11}\right)-\left(\frac{-13}{-11}\right)\\= \frac{-8}{11}-\frac{13}{11}\\=\frac{-8-13}{11}\\=\frac{-21}{11}\)
2. \(+\left(\frac{-7}{11}\right)-\left(\frac{-3}{8}\right)\\= \frac{-7}{11}+\frac{3}{8}\\=\frac{-56}{88}+\frac{33}{88}\\=\frac{-56+33}{88}\\=\frac{-23}{88}\)
3. \(+\left(\frac{9}{-10}\right)-\left(\frac{-13}{2}\right)\\= \frac{-9}{10}+\frac{13}{2}\\=\frac{-9+13}{10}\\=\frac{4}{10}\\=\frac{2}{5}\)
4. \(+\left(\frac{12}{7}\right)+\left(\frac{14}{-3}\right)\\= \frac{12}{7}-\frac{14}{3}\\=\frac{36}{21}-\frac{98}{21}\\=\frac{36-98}{21}\\=\frac{-62}{21}\)
5. \(+\left(\frac{-6}{7}\right)+\left(\frac{-6}{5}\right)\\= \frac{-6}{7}-\frac{6}{5}\\=\frac{-30}{35}-\frac{42}{35}\\=\frac{-30-42}{35}\\=\frac{-72}{35}\)
6. \(+\left(\frac{12}{-5}\right)+\left(\frac{5}{6}\right)\\= \frac{-12}{5}+\frac{5}{6}\\=\frac{-72}{30}+\frac{25}{30}\\=\frac{-72+25}{30}\\=\frac{-47}{30}\)
7. \(-\left(\frac{-2}{3}\right)+\left(\frac{5}{-8}\right)\\= \frac{2}{3}-\frac{5}{8}\\=\frac{16}{24}-\frac{15}{24}\\=\frac{16-15}{24}\\=\frac{1}{24}\)
8. \(+\left(\frac{-3}{7}\right)-\left(\frac{4}{-3}\right)\\= \frac{-3}{7}+\frac{4}{3}\\=\frac{-9}{21}+\frac{28}{21}\\=\frac{-9+28}{21}\\=\frac{19}{21}\)
9. \(+\left(\frac{-3}{-7}\right)-\left(\frac{-9}{2}\right)\\= \frac{3}{7}+\frac{9}{2}\\=\frac{6}{14}+\frac{63}{14}\\=\frac{6+63}{14}\\=\frac{69}{14}\)
10. \(-\left(\frac{2}{3}\right)-\left(\frac{-15}{7}\right)\\= \frac{-2}{3}+\frac{15}{7}\\=\frac{-14}{21}+\frac{45}{21}\\=\frac{-14+45}{21}\\=\frac{31}{21}\)
11. \(-\left(\frac{13}{-10}\right)-\left(\frac{-5}{-13}\right)\\= \frac{13}{10}-\frac{5}{13}\\=\frac{169}{130}-\frac{50}{130}\\=\frac{169-50}{130}\\=\frac{119}{130}\)
12. \(+\left(\frac{-4}{-11}\right)-\left(\frac{-5}{8}\right)\\= \frac{4}{11}+\frac{5}{8}\\=\frac{32}{88}+\frac{55}{88}\\=\frac{32+55}{88}\\=\frac{87}{88}\)