Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-2}{-13} . \left(\frac{-11}{-7}\right).\frac{2}{3}\\=+\frac{2.11.2}{13.7.3}\\=\frac{44}{273}\)
2. \(\frac{-8}{9} . \frac{9}{3}.\left(\frac{-11}{3}\right)\\=+\frac{8}{9}.\frac{3}{1}.\frac{11}{3}\\=+\frac{8.3.11}{9.1.3}\\=\frac{264}{27}\\=\frac{88}{9}\)
3. \(\frac{2}{17} . \left(\frac{-4}{-2}\right).\left(\frac{-3}{6}\right)\\=-\frac{2}{17}.\frac{2}{1}.\frac{1}{2}\\=-\frac{2.2.1}{17.1.2}\\=-\frac{4}{34}\\=-\frac{2}{17}\)
4. \(\frac{8}{-5} . \left(\frac{-6}{11}\right).\left(\frac{-3}{-10}\right)\\=+\frac{8.6.3}{5.11.10}\\=\frac{144}{550}\\=\frac{72}{275}\)
5. \(\frac{-9}{2} . \left(\frac{-3}{10}\right).\left(\frac{9}{-4}\right)\\=-\frac{9.3.9}{2.10.4}\\=-\frac{243}{80}\)
6. \(\frac{2}{9} . \left(\frac{-5}{6}\right).\left(\frac{-7}{-2}\right)\\=-\frac{2.5.7}{9.6.2}\\=-\frac{70}{108}\\=-\frac{35}{54}\)
7. \(\frac{3}{10} . \left(\frac{-9}{-3}\right).\left(\frac{5}{-12}\right)\\=-\frac{3}{10}.\frac{3}{1}.\frac{5}{12}\\=-\frac{3.3.5}{10.1.12}\\=-\frac{45}{120}\\=-\frac{3}{8}\)
8. \(\frac{-5}{-14} . \left(\frac{-11}{12}\right).\left(\frac{-9}{-9}\right)\\=-\frac{5}{14}.\frac{11}{12}.\frac{1}{1}\\=-\frac{5.11.1}{14.12.1}\\=-\frac{55}{168}\)
9. \(\frac{-11}{5} . \left(\frac{9}{-11}\right).\left(\frac{7}{-6}\right)\\=-\frac{11.9.7}{5.11.6}\\=-\frac{693}{330}\\=-\frac{21}{10}\)
10. \(\frac{-5}{13} . \left(\frac{-11}{-5}\right).\left(\frac{-12}{5}\right)\\=+\frac{5.11.12}{13.5.5}\\=\frac{660}{325}\\=\frac{132}{65}\)
11. \(\frac{8}{-5} . \left(\frac{-8}{6}\right).\left(\frac{-7}{-12}\right)\\=+\frac{8}{5}.\frac{4}{3}.\frac{7}{12}\\=+\frac{8.4.7}{5.3.12}\\=\frac{224}{180}\\=\frac{56}{45}\)
12. \(\frac{9}{13} . \left(\frac{-12}{3}\right).\left(\frac{-12}{-4}\right)\\=-\frac{9}{13}.\frac{4}{1}.\frac{3}{1}\\=-\frac{9.4.3}{13.1.1}\\=-\frac{108}{13}\)