Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{12}{-11} . \frac{10}{11}.\left(\frac{-2}{4}\right)\\=+\frac{12}{11}.\frac{10}{11}.\frac{1}{2}\\=+\frac{12.10.1}{11.11.2}\\=\frac{120}{242}\\=\frac{60}{121}\)
2. \(\frac{4}{-5} . \left(\frac{-3}{5}\right).\left(\frac{-12}{-3}\right)\\=+\frac{4}{5}.\frac{3}{5}.\frac{4}{1}\\=+\frac{4.3.4}{5.5.1}\\=\frac{48}{25}\)
3. \(\frac{-8}{17} . \frac{6}{11}.\left(\frac{2}{-5}\right)\\=+\frac{8.6.2}{17.11.5}\\=\frac{96}{935}\)
4. \(\frac{-3}{14} . \left(\frac{9}{-5}\right).\left(\frac{-10}{4}\right)\\=-\frac{3}{14}.\frac{9}{5}.\frac{5}{2}\\=-\frac{3.9.5}{14.5.2}\\=-\frac{135}{140}\\=-\frac{27}{28}\)
5. \(\frac{4}{13} . \left(\frac{-9}{-8}\right).\left(\frac{10}{-12}\right)\\=-\frac{4}{13}.\frac{9}{8}.\frac{5}{6}\\=-\frac{4.9.5}{13.8.6}\\=-\frac{180}{624}\\=-\frac{15}{52}\)
6. \(\frac{-2}{-5} . \frac{9}{2}.\left(\frac{-8}{4}\right)\\=-\frac{2}{5}.\frac{9}{2}.\frac{2}{1}\\=-\frac{2.9.2}{5.2.1}\\=-\frac{36}{10}\\=-\frac{18}{5}\)
7. \(\frac{-9}{-2} . \left(\frac{-8}{-8}\right).\left(\frac{-12}{8}\right)\\=-\frac{9}{2}.\frac{1}{1}.\frac{3}{2}\\=-\frac{9.1.3}{2.1.2}\\=-\frac{27}{4}\)
8. \(\frac{5}{8} . \left(\frac{-11}{-2}\right).\left(\frac{-3}{3}\right)\\=-\frac{5}{8}.\frac{11}{2}.\frac{1}{1}\\=-\frac{5.11.1}{8.2.1}\\=-\frac{55}{16}\)
9. \(\frac{-2}{-3} . \left(\frac{6}{-4}\right).\frac{5}{6}\\=-\frac{2}{3}.\frac{3}{2}.\frac{5}{6}\\=-\frac{2.3.5}{3.2.6}\\=-\frac{30}{36}\\=-\frac{5}{6}\)
10. \(\frac{11}{-7} . \left(\frac{-10}{10}\right).\left(\frac{-10}{-9}\right)\\=+\frac{11}{7}.\frac{1}{1}.\frac{10}{9}\\=+\frac{11.1.10}{7.1.9}\\=\frac{110}{63}\)
11. \(\frac{-5}{-9} . \left(\frac{-9}{10}\right).\left(\frac{-4}{-3}\right)\\=-\frac{5.9.4}{9.10.3}\\=-\frac{180}{270}\\=-\frac{2}{3}\)
12. \(\frac{3}{11} . \frac{8}{12}.\left(\frac{7}{-3}\right)\\=-\frac{3}{11}.\frac{2}{3}.\frac{7}{3}\\=-\frac{3.2.7}{11.3.3}\\=-\frac{42}{99}\\=-\frac{14}{33}\)