Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-3}{-13} . \left(\frac{-4}{8}\right).\left(\frac{-5}{2}\right)\)
2. \(\frac{9}{14} . \left(\frac{-9}{12}\right).\left(\frac{-2}{-5}\right)\)
3. \(\frac{11}{13} . \left(\frac{-3}{5}\right).\left(\frac{-6}{-4}\right)\)
4. \(\frac{-12}{-11} . \frac{5}{11}.\frac{12}{12}\)
5. \(\frac{8}{-17} . \left(\frac{3}{-8}\right).\left(\frac{-9}{-10}\right)\)
6. \(\frac{-9}{-10} . \left(\frac{-5}{-5}\right).\left(\frac{-5}{5}\right)\)
7. \(\frac{-6}{11} . \left(\frac{-4}{-12}\right).\frac{3}{5}\)
8. \(\frac{3}{-7} . \left(\frac{-12}{-4}\right).\left(\frac{-10}{-2}\right)\)
9. \(\frac{-3}{10} . \frac{2}{7}.\left(\frac{-9}{4}\right)\)
10. \(\frac{3}{-14} . \left(\frac{7}{-11}\right).\left(\frac{-12}{-6}\right)\)
11. \(\frac{6}{17} . \frac{6}{12}.\left(\frac{-3}{-3}\right)\)
12. \(\frac{-2}{3} . \frac{9}{2}.\left(\frac{-7}{-2}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-3}{-13} . \left(\frac{-4}{8}\right).\left(\frac{-5}{2}\right)\\=+\frac{3}{13}.\frac{1}{2}.\frac{5}{2}\\=+\frac{3.1.5}{13.2.2}\\=\frac{15}{52}\)
2. \(\frac{9}{14} . \left(\frac{-9}{12}\right).\left(\frac{-2}{-5}\right)\\=-\frac{9}{14}.\frac{3}{4}.\frac{2}{5}\\=-\frac{9.3.2}{14.4.5}\\=-\frac{54}{280}\\=-\frac{27}{140}\)
3. \(\frac{11}{13} . \left(\frac{-3}{5}\right).\left(\frac{-6}{-4}\right)\\=-\frac{11}{13}.\frac{3}{5}.\frac{3}{2}\\=-\frac{11.3.3}{13.5.2}\\=-\frac{99}{130}\)
4. \(\frac{-12}{-11} . \frac{5}{11}.\frac{12}{12}\\=+\frac{12}{11}.\frac{5}{11}.\frac{1}{1}\\=+\frac{12.5.1}{11.11.1}\\=\frac{60}{121}\)
5. \(\frac{8}{-17} . \left(\frac{3}{-8}\right).\left(\frac{-9}{-10}\right)\\=+\frac{8.3.9}{17.8.10}\\=\frac{216}{1360}\\=\frac{27}{170}\)
6. \(\frac{-9}{-10} . \left(\frac{-5}{-5}\right).\left(\frac{-5}{5}\right)\\=-\frac{9}{10}.\frac{1}{1}.\frac{1}{1}\\=-\frac{9.1.1}{10.1.1}\\=-\frac{9}{10}\)
7. \(\frac{-6}{11} . \left(\frac{-4}{-12}\right).\frac{3}{5}\\=-\frac{6}{11}.\frac{1}{3}.\frac{3}{5}\\=-\frac{6.1.3}{11.3.5}\\=-\frac{18}{165}\\=-\frac{6}{55}\)
8. \(\frac{3}{-7} . \left(\frac{-12}{-4}\right).\left(\frac{-10}{-2}\right)\\=-\frac{3}{7}.\frac{3}{1}.\frac{5}{1}\\=-\frac{3.3.5}{7.1.1}\\=-\frac{45}{7}\)
9. \(\frac{-3}{10} . \frac{2}{7}.\left(\frac{-9}{4}\right)\\=+\frac{3.2.9}{10.7.4}\\=\frac{54}{280}\\=\frac{27}{140}\)
10. \(\frac{3}{-14} . \left(\frac{7}{-11}\right).\left(\frac{-12}{-6}\right)\\=+\frac{3}{14}.\frac{7}{11}.\frac{2}{1}\\=+\frac{3.7.2}{14.11.1}\\=\frac{42}{154}\\=\frac{3}{11}\)
11. \(\frac{6}{17} . \frac{6}{12}.\left(\frac{-3}{-3}\right)\\=+\frac{6}{17}.\frac{1}{2}.\frac{1}{1}\\=+\frac{6.1.1}{17.2.1}\\=\frac{6}{34}\\=\frac{3}{17}\)
12. \(\frac{-2}{3} . \frac{9}{2}.\left(\frac{-7}{-2}\right)\\=-\frac{2.9.7}{3.2.2}\\=-\frac{126}{12}\\=-\frac{21}{2}\)