Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-2}{7} . \left(\frac{4}{-5}\right).\frac{4}{9}\)
2. \(\frac{6}{-17} . \frac{11}{5}.\frac{4}{2}\)
3. \(\frac{-9}{-17} . \left(\frac{-5}{6}\right).\left(\frac{2}{-6}\right)\)
4. \(\frac{9}{-17} . \left(\frac{12}{-2}\right).\left(\frac{-3}{-2}\right)\)
5. \(\frac{10}{-9} . \left(\frac{-5}{4}\right).\left(\frac{-4}{-3}\right)\)
6. \(\frac{-6}{13} . \left(\frac{12}{-2}\right).\frac{9}{4}\)
7. \(\frac{5}{-12} . \left(\frac{-3}{-12}\right).\left(\frac{-10}{2}\right)\)
8. \(\frac{-5}{6} . \frac{7}{9}.\left(\frac{12}{-3}\right)\)
9. \(\frac{6}{-11} . \left(\frac{-4}{-4}\right).\left(\frac{-6}{3}\right)\)
10. \(\frac{-7}{20} . \frac{2}{11}.\left(\frac{-7}{-5}\right)\)
11. \(\frac{-10}{-19} . \left(\frac{-11}{7}\right).\left(\frac{9}{-10}\right)\)
12. \(\frac{-12}{-13} . \frac{3}{10}.\left(\frac{-9}{-8}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-2}{7} . \left(\frac{4}{-5}\right).\frac{4}{9}\\=+\frac{2.4.4}{7.5.9}\\=\frac{32}{315}\)
2. \(\frac{6}{-17} . \frac{11}{5}.\frac{4}{2}\\=-\frac{6}{17}.\frac{11}{5}.\frac{2}{1}\\=-\frac{6.11.2}{17.5.1}\\=-\frac{132}{85}\)
3. \(\frac{-9}{-17} . \left(\frac{-5}{6}\right).\left(\frac{2}{-6}\right)\\=+\frac{9}{17}.\frac{5}{6}.\frac{1}{3}\\=+\frac{9.5.1}{17.6.3}\\=\frac{45}{306}\\=\frac{5}{34}\)
4. \(\frac{9}{-17} . \left(\frac{12}{-2}\right).\left(\frac{-3}{-2}\right)\\=+\frac{9}{17}.\frac{6}{1}.\frac{3}{2}\\=+\frac{9.6.3}{17.1.2}\\=\frac{162}{34}\\=\frac{81}{17}\)
5. \(\frac{10}{-9} . \left(\frac{-5}{4}\right).\left(\frac{-4}{-3}\right)\\=+\frac{10.5.4}{9.4.3}\\=\frac{200}{108}\\=\frac{50}{27}\)
6. \(\frac{-6}{13} . \left(\frac{12}{-2}\right).\frac{9}{4}\\=+\frac{6}{13}.\frac{6}{1}.\frac{9}{4}\\=+\frac{6.6.9}{13.1.4}\\=\frac{324}{52}\\=\frac{81}{13}\)
7. \(\frac{5}{-12} . \left(\frac{-3}{-12}\right).\left(\frac{-10}{2}\right)\\=+\frac{5}{12}.\frac{1}{4}.\frac{5}{1}\\=+\frac{5.1.5}{12.4.1}\\=\frac{25}{48}\)
8. \(\frac{-5}{6} . \frac{7}{9}.\left(\frac{12}{-3}\right)\\=+\frac{5}{6}.\frac{7}{9}.\frac{4}{1}\\=+\frac{5.7.4}{6.9.1}\\=\frac{140}{54}\\=\frac{70}{27}\)
9. \(\frac{6}{-11} . \left(\frac{-4}{-4}\right).\left(\frac{-6}{3}\right)\\=+\frac{6}{11}.\frac{1}{1}.\frac{2}{1}\\=+\frac{6.1.2}{11.1.1}\\=\frac{12}{11}\)
10. \(\frac{-7}{20} . \frac{2}{11}.\left(\frac{-7}{-5}\right)\\=-\frac{7.2.7}{20.11.5}\\=-\frac{98}{1100}\\=-\frac{49}{550}\)
11. \(\frac{-10}{-19} . \left(\frac{-11}{7}\right).\left(\frac{9}{-10}\right)\\=+\frac{10.11.9}{19.7.10}\\=\frac{990}{1330}\\=\frac{99}{133}\)
12. \(\frac{-12}{-13} . \frac{3}{10}.\left(\frac{-9}{-8}\right)\\=+\frac{12.3.9}{13.10.8}\\=\frac{324}{1040}\\=\frac{81}{260}\)