Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{9}{-12} : \left(\frac{4}{-10}\right)\\=+\frac{3}{4} : \frac{2}{5}\\=+\frac{3}{4} . \frac{5}{2}\\=\frac{3.5}{4.2}\\=\frac{15}{8}\)
2. \(\frac{-8}{5} : \left(\frac{-8}{-8}\right)\\=-\frac{8}{5} : \frac{1}{1}\\=-\frac{8}{5} . \frac{1}{1}\\=-\frac{8.1}{5.1}\\=-\frac{8}{5}\)
3. \(\frac{11}{2} : \left(\frac{-2}{-9}\right)\\=+\frac{11}{2} . \frac{9}{2}\\=\frac{11.9}{2.2}\\=\frac{99}{4}\)
4. \(\frac{9}{-13} : \left(\frac{-2}{-8}\right)\\=-\frac{9}{13} : \frac{1}{4}\\=-\frac{9}{13} . \frac{4}{1}\\=-\frac{9.4}{13.1}\\=-\frac{36}{13}\)
5. \(\frac{-8}{-10} : \left(\frac{-8}{4}\right)\\=-\frac{4}{5} : \frac{2}{1}\\=-\frac{4}{5} . \frac{1}{2}\\=-\frac{4.1}{5.2}\\=-\frac{4}{10}\\=-\frac{2}{5}\)
6. \(\frac{2}{8} : \left(\frac{-12}{-4}\right)\\=+\frac{1}{4} : \frac{3}{1}\\=+\frac{1}{4} . \frac{1}{3}\\=\frac{1.1}{4.3}\\=\frac{1}{12}\)
7. \(\frac{-9}{-7} : \left(\frac{-11}{-3}\right)\\=+\frac{9}{7} . \frac{3}{11}\\=\frac{9.3}{7.11}\\=\frac{27}{77}\)
8. \(\frac{-9}{-13} : \left(\frac{8}{-3}\right)\\=-\frac{9}{13} . \frac{3}{8}\\=-\frac{9.3}{13.8}\\=-\frac{27}{104}\)
9. \(\frac{4}{-10} : \frac{8}{15}\\=-\frac{2}{5} : \frac{8}{15}\\=-\frac{2}{5} . \frac{15}{8}\\=-\frac{2.15}{5.8}\\=-\frac{30}{40}\\=-\frac{3}{4}\)
10. \(\frac{8}{11} : \left(\frac{2}{-11}\right)\\=-\frac{8}{11} . \frac{11}{2}\\=-\frac{8.11}{11.2}\\=-\frac{88}{22}\\=-\frac{4}{1}= 4\)
11. \(\frac{-11}{13} : \left(\frac{2}{-2}\right)\\=+\frac{11}{13} : \frac{1}{1}\\=+\frac{11}{13} . \frac{1}{1}\\=\frac{11.1}{13.1}\\=\frac{11}{13}\)
12. \(\frac{-11}{-13} : \left(\frac{-4}{-14}\right)\\=+\frac{11}{13} : \frac{2}{7}\\=+\frac{11}{13} . \frac{7}{2}\\=\frac{11.7}{13.2}\\=\frac{77}{26}\)