Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{-5}{4} : \left(\frac{-9}{-7}\right)\\=-\frac{5}{4} . \frac{7}{9}\\=-\frac{5.7}{4.9}\\=-\frac{35}{36}\)
2. \(\frac{-2}{-12} : \left(\frac{8}{-12}\right)\\=-\frac{1}{6} : \frac{2}{3}\\=-\frac{1}{6} . \frac{3}{2}\\=-\frac{1.3}{6.2}\\=-\frac{3}{12}\\=-\frac{1}{4}\)
3. \(\frac{9}{12} : \left(\frac{-12}{-7}\right)\\=+\frac{3}{4} : \frac{12}{7}\\=+\frac{3}{4} . \frac{7}{12}\\=\frac{3.7}{4.12}\\=\frac{21}{48}\\=\frac{7}{16}\)
4. \(\frac{2}{12} : \left(\frac{3}{-15}\right)\\=-\frac{1}{6} : \frac{1}{5}\\=-\frac{1}{6} . \frac{5}{1}\\=-\frac{1.5}{6.1}\\=-\frac{5}{6}\)
5. \(\frac{7}{6} : \left(\frac{-5}{8}\right)\\=-\frac{7}{6} . \frac{8}{5}\\=-\frac{7.8}{6.5}\\=-\frac{56}{30}\\=-\frac{28}{15}\)
6. \(\frac{-5}{-10} : \left(\frac{-5}{6}\right)\\=-\frac{1}{2} : \frac{5}{6}\\=-\frac{1}{2} . \frac{6}{5}\\=-\frac{1.6}{2.5}\\=-\frac{6}{10}\\=-\frac{3}{5}\)
7. \(\frac{12}{9} : \frac{2}{12}\\=+\frac{4}{3} : \frac{1}{6}\\=+\frac{4}{3} . \frac{6}{1}\\=\frac{4.6}{3.1}\\=\frac{24}{3}\\=\frac{8}{1}= 8\)
8. \(\frac{9}{3} : \frac{3}{8}\\=+\frac{3}{1} : \frac{3}{8}\\=+\frac{3}{1} . \frac{8}{3}\\=\frac{3.8}{1.3}\\=\frac{24}{3}\\=\frac{8}{1}= 8\)
9. \(\frac{8}{9} : \left(\frac{-10}{-9}\right)\\=+\frac{8}{9} . \frac{9}{10}\\=\frac{8.9}{9.10}\\=\frac{72}{90}\\=\frac{4}{5}\)
10. \(\frac{4}{-10} : \left(\frac{6}{-14}\right)\\=+\frac{2}{5} : \frac{3}{7}\\=+\frac{2}{5} . \frac{7}{3}\\=\frac{2.7}{5.3}\\=\frac{14}{15}\)
11. \(\frac{-8}{-7} : \frac{4}{10}\\=+\frac{8}{7} : \frac{2}{5}\\=+\frac{8}{7} . \frac{5}{2}\\=\frac{8.5}{7.2}\\=\frac{40}{14}\\=\frac{20}{7}\)
12. \(\frac{-4}{-9} : \left(\frac{-11}{-10}\right)\\=+\frac{4}{9} . \frac{10}{11}\\=\frac{4.10}{9.11}\\=\frac{40}{99}\)