Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{9}{-7} : \left(\frac{-9}{3}\right)\\=+\frac{9}{7} : \frac{3}{1}\\=+\frac{9}{7} . \frac{1}{3}\\=\frac{9.1}{7.3}\\=\frac{9}{21}\\=\frac{3}{7}\)
2. \(\frac{11}{10} : \left(\frac{8}{-15}\right)\\=-\frac{11}{10} . \frac{15}{8}\\=-\frac{11.15}{10.8}\\=-\frac{165}{80}\\=-\frac{33}{16}\)
3. \(\frac{-9}{14} : \left(\frac{-11}{5}\right)\\=+\frac{9}{14} . \frac{5}{11}\\=\frac{9.5}{14.11}\\=\frac{45}{154}\)
4. \(\frac{8}{-3} : \left(\frac{-4}{11}\right)\\=+\frac{8}{3} . \frac{11}{4}\\=\frac{8.11}{3.4}\\=\frac{88}{12}\\=\frac{22}{3}\)
5. \(\frac{6}{10} : \left(\frac{-8}{-9}\right)\\=+\frac{3}{5} : \frac{8}{9}\\=+\frac{3}{5} . \frac{9}{8}\\=\frac{3.9}{5.8}\\=\frac{27}{40}\)
6. \(\frac{2}{8} : \frac{10}{6}\\=+\frac{1}{4} : \frac{5}{3}\\=+\frac{1}{4} . \frac{3}{5}\\=\frac{1.3}{4.5}\\=\frac{3}{20}\)
7. \(\frac{11}{-14} : \left(\frac{-12}{-7}\right)\\=-\frac{11}{14} . \frac{7}{12}\\=-\frac{11.7}{14.12}\\=-\frac{77}{168}\\=-\frac{11}{24}\)
8. \(\frac{-3}{-7} : \left(\frac{2}{-15}\right)\\=-\frac{3}{7} . \frac{15}{2}\\=-\frac{3.15}{7.2}\\=-\frac{45}{14}\)
9. \(\frac{-11}{-12} : \frac{4}{2}\\=+\frac{11}{12} : \frac{2}{1}\\=+\frac{11}{12} . \frac{1}{2}\\=\frac{11.1}{12.2}\\=\frac{11}{24}\)
10. \(\frac{-10}{15} : \left(\frac{-11}{9}\right)\\=+\frac{2}{3} : \frac{11}{9}\\=+\frac{2}{3} . \frac{9}{11}\\=\frac{2.9}{3.11}\\=\frac{18}{33}\\=\frac{6}{11}\)
11. \(\frac{-2}{-15} : \left(\frac{-9}{-9}\right)\\=+\frac{2}{15} : \frac{1}{1}\\=+\frac{2}{15} . \frac{1}{1}\\=\frac{2.1}{15.1}\\=\frac{2}{15}\)
12. \(\frac{4}{-11} : \frac{12}{3}\\=-\frac{4}{11} : \frac{4}{1}\\=-\frac{4}{11} . \frac{1}{4}\\=-\frac{4.1}{11.4}\\=-\frac{4}{44}\\=-\frac{1}{11}\)