Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{-6}{-7} . \left(\frac{4}{-6}\right).\left(\frac{-7}{-3}\right)\)
2. \(\frac{-8}{-5} . \left(\frac{11}{-5}\right).\left(\frac{3}{-6}\right)\)
3. \(\frac{-3}{-16} . \left(\frac{-12}{-6}\right).\frac{11}{3}\)
4. \(\frac{-8}{3} . \left(\frac{8}{-10}\right).\left(\frac{-10}{-5}\right)\)
5. \(\frac{10}{19} . \left(\frac{-7}{2}\right).\left(\frac{-9}{-5}\right)\)
6. \(\frac{7}{4} . \left(\frac{-6}{-9}\right).\left(\frac{-3}{9}\right)\)
7. \(\frac{7}{-2} . \left(\frac{10}{-5}\right).\left(\frac{12}{-7}\right)\)
8. \(\frac{-8}{-11} . \left(\frac{-2}{5}\right).\left(\frac{10}{-10}\right)\)
9. \(\frac{9}{-13} . \frac{10}{5}.\left(\frac{2}{-4}\right)\)
10. \(\frac{-7}{-6} . \left(\frac{-9}{3}\right).\left(\frac{-6}{-6}\right)\)
11. \(\frac{4}{-5} . \frac{12}{10}.\frac{10}{9}\)
12. \(\frac{-10}{-17} . \frac{12}{4}.\left(\frac{-9}{-12}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-6}{-7} . \left(\frac{4}{-6}\right).\left(\frac{-7}{-3}\right)\\=-\frac{6}{7}.\frac{2}{3}.\frac{7}{3}\\=-\frac{6.2.7}{7.3.3}\\=-\frac{84}{63}\\=-\frac{4}{3}\)
2. \(\frac{-8}{-5} . \left(\frac{11}{-5}\right).\left(\frac{3}{-6}\right)\\=+\frac{8}{5}.\frac{11}{5}.\frac{1}{2}\\=+\frac{8.11.1}{5.5.2}\\=\frac{88}{50}\\=\frac{44}{25}\)
3. \(\frac{-3}{-16} . \left(\frac{-12}{-6}\right).\frac{11}{3}\\=+\frac{3}{16}.\frac{2}{1}.\frac{11}{3}\\=+\frac{3.2.11}{16.1.3}\\=\frac{66}{48}\\=\frac{11}{8}\)
4. \(\frac{-8}{3} . \left(\frac{8}{-10}\right).\left(\frac{-10}{-5}\right)\\=+\frac{8}{3}.\frac{4}{5}.\frac{2}{1}\\=+\frac{8.4.2}{3.5.1}\\=\frac{64}{15}\)
5. \(\frac{10}{19} . \left(\frac{-7}{2}\right).\left(\frac{-9}{-5}\right)\\=-\frac{10.7.9}{19.2.5}\\=-\frac{630}{190}\\=-\frac{63}{19}\)
6. \(\frac{7}{4} . \left(\frac{-6}{-9}\right).\left(\frac{-3}{9}\right)\\=-\frac{7}{4}.\frac{2}{3}.\frac{1}{3}\\=-\frac{7.2.1}{4.3.3}\\=-\frac{14}{36}\\=-\frac{7}{18}\)
7. \(\frac{7}{-2} . \left(\frac{10}{-5}\right).\left(\frac{12}{-7}\right)\\=-\frac{7}{2}.\frac{2}{1}.\frac{12}{7}\\=-\frac{7.2.12}{2.1.7}\\=-\frac{168}{14}\\=-\frac{12}{1}= 12\)
8. \(\frac{-8}{-11} . \left(\frac{-2}{5}\right).\left(\frac{10}{-10}\right)\\=+\frac{8}{11}.\frac{2}{5}.\frac{1}{1}\\=+\frac{8.2.1}{11.5.1}\\=\frac{16}{55}\)
9. \(\frac{9}{-13} . \frac{10}{5}.\left(\frac{2}{-4}\right)\\=+\frac{9}{13}.\frac{2}{1}.\frac{1}{2}\\=+\frac{9.2.1}{13.1.2}\\=\frac{18}{26}\\=\frac{9}{13}\)
10. \(\frac{-7}{-6} . \left(\frac{-9}{3}\right).\left(\frac{-6}{-6}\right)\\=-\frac{7}{6}.\frac{3}{1}.\frac{1}{1}\\=-\frac{7.3.1}{6.1.1}\\=-\frac{21}{6}\\=-\frac{7}{2}\)
11. \(\frac{4}{-5} . \frac{12}{10}.\frac{10}{9}\\=-\frac{4}{5}.\frac{6}{5}.\frac{10}{9}\\=-\frac{4.6.10}{5.5.9}\\=-\frac{240}{225}\\=-\frac{16}{15}\)
12. \(\frac{-10}{-17} . \frac{12}{4}.\left(\frac{-9}{-12}\right)\\=+\frac{10}{17}.\frac{3}{1}.\frac{3}{4}\\=+\frac{10.3.3}{17.1.4}\\=\frac{90}{68}\\=\frac{45}{34}\)