Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-7}{20} . \left(\frac{2}{-4}\right).\left(\frac{3}{-10}\right)\)
2. \(\frac{11}{-6} . \frac{7}{9}.\left(\frac{-10}{-8}\right)\)
3. \(\frac{-7}{8} . \left(\frac{-2}{10}\right).\frac{3}{10}\)
4. \(\frac{2}{3} . \left(\frac{-7}{2}\right).\left(\frac{-3}{6}\right)\)
5. \(\frac{8}{19} . \frac{10}{2}.\left(\frac{-10}{-2}\right)\)
6. \(\frac{-6}{-11} . \left(\frac{5}{-3}\right).\left(\frac{-5}{-3}\right)\)
7. \(\frac{11}{-5} . \left(\frac{9}{-2}\right).\left(\frac{-4}{-12}\right)\)
8. \(\frac{-4}{11} . \frac{10}{6}.\left(\frac{3}{-12}\right)\)
9. \(\frac{11}{18} . \left(\frac{-7}{12}\right).\left(\frac{12}{-8}\right)\)
10. \(\frac{-11}{-17} . \left(\frac{11}{-7}\right).\left(\frac{-9}{-7}\right)\)
11. \(\frac{-11}{-19} . \left(\frac{-6}{7}\right).\left(\frac{-9}{-7}\right)\)
12. \(\frac{-10}{-7} . \left(\frac{8}{-3}\right).\left(\frac{-11}{7}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-7}{20} . \left(\frac{2}{-4}\right).\left(\frac{3}{-10}\right)\\=-\frac{7}{20}.\frac{1}{2}.\frac{3}{10}\\=-\frac{7.1.3}{20.2.10}\\=-\frac{21}{400}\)
2. \(\frac{11}{-6} . \frac{7}{9}.\left(\frac{-10}{-8}\right)\\=-\frac{11}{6}.\frac{7}{9}.\frac{5}{4}\\=-\frac{11.7.5}{6.9.4}\\=-\frac{385}{216}\)
3. \(\frac{-7}{8} . \left(\frac{-2}{10}\right).\frac{3}{10}\\=+\frac{7}{8}.\frac{1}{5}.\frac{3}{10}\\=+\frac{7.1.3}{8.5.10}\\=\frac{21}{400}\)
4. \(\frac{2}{3} . \left(\frac{-7}{2}\right).\left(\frac{-3}{6}\right)\\=+\frac{2}{3}.\frac{7}{2}.\frac{1}{2}\\=+\frac{2.7.1}{3.2.2}\\=\frac{14}{12}\\=\frac{7}{6}\)
5. \(\frac{8}{19} . \frac{10}{2}.\left(\frac{-10}{-2}\right)\\=+\frac{8}{19}.\frac{5}{1}.\frac{5}{1}\\=+\frac{8.5.5}{19.1.1}\\=\frac{200}{19}\)
6. \(\frac{-6}{-11} . \left(\frac{5}{-3}\right).\left(\frac{-5}{-3}\right)\\=-\frac{6.5.5}{11.3.3}\\=-\frac{150}{99}\\=-\frac{50}{33}\)
7. \(\frac{11}{-5} . \left(\frac{9}{-2}\right).\left(\frac{-4}{-12}\right)\\=+\frac{11}{5}.\frac{9}{2}.\frac{1}{3}\\=+\frac{11.9.1}{5.2.3}\\=\frac{99}{30}\\=\frac{33}{10}\)
8. \(\frac{-4}{11} . \frac{10}{6}.\left(\frac{3}{-12}\right)\\=+\frac{4}{11}.\frac{5}{3}.\frac{1}{4}\\=+\frac{4.5.1}{11.3.4}\\=\frac{20}{132}\\=\frac{5}{33}\)
9. \(\frac{11}{18} . \left(\frac{-7}{12}\right).\left(\frac{12}{-8}\right)\\=+\frac{11}{18}.\frac{7}{12}.\frac{3}{2}\\=+\frac{11.7.3}{18.12.2}\\=\frac{231}{432}\\=\frac{77}{144}\)
10. \(\frac{-11}{-17} . \left(\frac{11}{-7}\right).\left(\frac{-9}{-7}\right)\\=-\frac{11.11.9}{17.7.7}\\=-\frac{1089}{833}\)
11. \(\frac{-11}{-19} . \left(\frac{-6}{7}\right).\left(\frac{-9}{-7}\right)\\=-\frac{11.6.9}{19.7.7}\\=-\frac{594}{931}\)
12. \(\frac{-10}{-7} . \left(\frac{8}{-3}\right).\left(\frac{-11}{7}\right)\\=+\frac{10.8.11}{7.3.7}\\=\frac{880}{147}\)