Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{-10}{13} . \left(\frac{8}{-4}\right).\left(\frac{4}{-4}\right)\)
2. \(\frac{-8}{13} . \left(\frac{-11}{10}\right).\left(\frac{-5}{-9}\right)\)
3. \(\frac{5}{11} . \frac{11}{6}.\frac{3}{5}\)
4. \(\frac{-4}{-9} . \left(\frac{-2}{3}\right).\left(\frac{-3}{2}\right)\)
5. \(\frac{-11}{9} . \frac{3}{6}.\left(\frac{-10}{9}\right)\)
6. \(\frac{8}{-19} . \frac{2}{11}.\left(\frac{-2}{-12}\right)\)
7. \(\frac{-4}{15} . \left(\frac{2}{-4}\right).\left(\frac{2}{-11}\right)\)
8. \(\frac{-4}{19} . \left(\frac{-4}{-7}\right).\frac{8}{8}\)
9. \(\frac{-2}{15} . \left(\frac{5}{-9}\right).\left(\frac{-10}{-8}\right)\)
10. \(\frac{-10}{17} . \left(\frac{-2}{-3}\right).\left(\frac{-9}{12}\right)\)
11. \(\frac{-11}{16} . \left(\frac{-12}{-3}\right).\left(\frac{12}{-5}\right)\)
12. \(\frac{-4}{-5} . \left(\frac{-2}{12}\right).\left(\frac{-12}{4}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-10}{13} . \left(\frac{8}{-4}\right).\left(\frac{4}{-4}\right)\\=-\frac{10}{13}.\frac{2}{1}.\frac{1}{1}\\=-\frac{10.2.1}{13.1.1}\\=-\frac{20}{13}\)
2. \(\frac{-8}{13} . \left(\frac{-11}{10}\right).\left(\frac{-5}{-9}\right)\\=+\frac{8.11.5}{13.10.9}\\=\frac{440}{1170}\\=\frac{44}{117}\)
3. \(\frac{5}{11} . \frac{11}{6}.\frac{3}{5}\\=+\frac{5.11.3}{11.6.5}\\=\frac{165}{330}\\=\frac{1}{2}\)
4. \(\frac{-4}{-9} . \left(\frac{-2}{3}\right).\left(\frac{-3}{2}\right)\\=+\frac{4.2.3}{9.3.2}\\=\frac{24}{54}\\=\frac{4}{9}\)
5. \(\frac{-11}{9} . \frac{3}{6}.\left(\frac{-10}{9}\right)\\=+\frac{11}{9}.\frac{1}{2}.\frac{10}{9}\\=+\frac{11.1.10}{9.2.9}\\=\frac{110}{162}\\=\frac{55}{81}\)
6. \(\frac{8}{-19} . \frac{2}{11}.\left(\frac{-2}{-12}\right)\\=-\frac{8}{19}.\frac{2}{11}.\frac{1}{6}\\=-\frac{8.2.1}{19.11.6}\\=-\frac{16}{1254}\\=-\frac{8}{627}\)
7. \(\frac{-4}{15} . \left(\frac{2}{-4}\right).\left(\frac{2}{-11}\right)\\=-\frac{4}{15}.\frac{1}{2}.\frac{2}{11}\\=-\frac{4.1.2}{15.2.11}\\=-\frac{8}{330}\\=-\frac{4}{165}\)
8. \(\frac{-4}{19} . \left(\frac{-4}{-7}\right).\frac{8}{8}\\=-\frac{4}{19}.\frac{4}{7}.\frac{1}{1}\\=-\frac{4.4.1}{19.7.1}\\=-\frac{16}{133}\)
9. \(\frac{-2}{15} . \left(\frac{5}{-9}\right).\left(\frac{-10}{-8}\right)\\=+\frac{2}{15}.\frac{5}{9}.\frac{5}{4}\\=+\frac{2.5.5}{15.9.4}\\=\frac{50}{540}\\=\frac{5}{54}\)
10. \(\frac{-10}{17} . \left(\frac{-2}{-3}\right).\left(\frac{-9}{12}\right)\\=+\frac{10}{17}.\frac{2}{3}.\frac{3}{4}\\=+\frac{10.2.3}{17.3.4}\\=\frac{60}{204}\\=\frac{5}{17}\)
11. \(\frac{-11}{16} . \left(\frac{-12}{-3}\right).\left(\frac{12}{-5}\right)\\=+\frac{11}{16}.\frac{4}{1}.\frac{12}{5}\\=+\frac{11.4.12}{16.1.5}\\=\frac{528}{80}\\=\frac{33}{5}\)
12. \(\frac{-4}{-5} . \left(\frac{-2}{12}\right).\left(\frac{-12}{4}\right)\\=+\frac{4}{5}.\frac{1}{6}.\frac{3}{1}\\=+\frac{4.1.3}{5.6.1}\\=\frac{12}{30}\\=\frac{2}{5}\)