Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{6}{-7} . \left(\frac{4}{-5}\right).\left(\frac{5}{-7}\right)\\=-\frac{6.4.5}{7.5.7}\\=-\frac{120}{245}\\=-\frac{24}{49}\)
2. \(\frac{-4}{-3} . \left(\frac{-12}{-7}\right).\left(\frac{-4}{6}\right)\\=-\frac{4}{3}.\frac{12}{7}.\frac{2}{3}\\=-\frac{4.12.2}{3.7.3}\\=-\frac{96}{63}\\=-\frac{32}{21}\)
3. \(\frac{-8}{11} . \left(\frac{10}{-8}\right).\left(\frac{6}{-10}\right)\\=-\frac{8}{11}.\frac{5}{4}.\frac{3}{5}\\=-\frac{8.5.3}{11.4.5}\\=-\frac{120}{220}\\=-\frac{6}{11}\)
4. \(\frac{-6}{5} . \left(\frac{-3}{3}\right).\left(\frac{-3}{-8}\right)\\=+\frac{6}{5}.\frac{1}{1}.\frac{3}{8}\\=+\frac{6.1.3}{5.1.8}\\=\frac{18}{40}\\=\frac{9}{20}\)
5. \(\frac{-2}{13} . \left(\frac{12}{-8}\right).\left(\frac{-3}{11}\right)\\=-\frac{2}{13}.\frac{3}{2}.\frac{3}{11}\\=-\frac{2.3.3}{13.2.11}\\=-\frac{18}{286}\\=-\frac{9}{143}\)
6. \(\frac{10}{13} . \left(\frac{7}{-12}\right).\left(\frac{-9}{12}\right)\\=+\frac{10}{13}.\frac{7}{12}.\frac{3}{4}\\=+\frac{10.7.3}{13.12.4}\\=\frac{210}{624}\\=\frac{35}{104}\)
7. \(\frac{-3}{19} . \left(\frac{-11}{-6}\right).\left(\frac{-9}{4}\right)\\=+\frac{3.11.9}{19.6.4}\\=\frac{297}{456}\\=\frac{99}{152}\)
8. \(\frac{-5}{-4} . \left(\frac{-4}{8}\right).\left(\frac{-9}{-3}\right)\\=-\frac{5}{4}.\frac{1}{2}.\frac{3}{1}\\=-\frac{5.1.3}{4.2.1}\\=-\frac{15}{8}\)
9. \(\frac{-4}{-13} . \frac{6}{8}.\left(\frac{-10}{-10}\right)\\=+\frac{4}{13}.\frac{3}{4}.\frac{1}{1}\\=+\frac{4.3.1}{13.4.1}\\=\frac{12}{52}\\=\frac{3}{13}\)
10. \(\frac{6}{-11} . \left(\frac{8}{-11}\right).\left(\frac{7}{-11}\right)\\=-\frac{6.8.7}{11.11.11}\\=-\frac{336}{1331}\)
11. \(\frac{-10}{-17} . \left(\frac{-8}{5}\right).\left(\frac{-10}{-8}\right)\\=-\frac{10}{17}.\frac{8}{5}.\frac{5}{4}\\=-\frac{10.8.5}{17.5.4}\\=-\frac{400}{340}\\=-\frac{20}{17}\)
12. \(\frac{7}{-11} . \left(\frac{-7}{10}\right).\left(\frac{7}{-4}\right)\\=-\frac{7.7.7}{11.10.4}\\=-\frac{343}{440}\)