Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-7}{-6} . \frac{4}{6}.\left(\frac{-5}{5}\right)\\=-\frac{7}{6}.\frac{2}{3}.\frac{1}{1}\\=-\frac{7.2.1}{6.3.1}\\=-\frac{14}{18}\\=-\frac{7}{9}\)
2. \(\frac{6}{-5} . \left(\frac{4}{-12}\right).\left(\frac{-10}{9}\right)\\=-\frac{6}{5}.\frac{1}{3}.\frac{10}{9}\\=-\frac{6.1.10}{5.3.9}\\=-\frac{60}{135}\\=-\frac{4}{9}\)
3. \(\frac{7}{9} . \frac{12}{5}.\left(\frac{9}{-4}\right)\\=-\frac{7.12.9}{9.5.4}\\=-\frac{756}{180}\\=-\frac{21}{5}\)
4. \(\frac{7}{11} . \left(\frac{-11}{2}\right).\left(\frac{-10}{11}\right)\\=+\frac{7.11.10}{11.2.11}\\=\frac{770}{242}\\=\frac{35}{11}\)
5. \(\frac{4}{3} . \left(\frac{-4}{-7}\right).\left(\frac{2}{-11}\right)\\=-\frac{4.4.2}{3.7.11}\\=-\frac{32}{231}\)
6. \(\frac{-11}{8} . \frac{2}{2}.\left(\frac{9}{-12}\right)\\=+\frac{11}{8}.\frac{1}{1}.\frac{3}{4}\\=+\frac{11.1.3}{8.1.4}\\=\frac{33}{32}\)
7. \(\frac{-6}{5} . \left(\frac{11}{-4}\right).\frac{4}{6}\\=+\frac{6}{5}.\frac{11}{4}.\frac{2}{3}\\=+\frac{6.11.2}{5.4.3}\\=\frac{132}{60}\\=\frac{11}{5}\)
8. \(\frac{-5}{-9} . \left(\frac{-2}{-3}\right).\left(\frac{-11}{2}\right)\\=-\frac{5.2.11}{9.3.2}\\=-\frac{110}{54}\\=-\frac{55}{27}\)
9. \(\frac{9}{20} . \frac{10}{2}.\left(\frac{3}{-2}\right)\\=-\frac{9}{20}.\frac{5}{1}.\frac{3}{2}\\=-\frac{9.5.3}{20.1.2}\\=-\frac{135}{40}\\=-\frac{27}{8}\)
10. \(\frac{10}{-9} . \left(\frac{-7}{-6}\right).\frac{7}{7}\\=-\frac{10}{9}.\frac{7}{6}.\frac{1}{1}\\=-\frac{10.7.1}{9.6.1}\\=-\frac{70}{54}\\=-\frac{35}{27}\)
11. \(\frac{4}{-11} . \left(\frac{-8}{5}\right).\frac{10}{7}\\=+\frac{4.8.10}{11.5.7}\\=\frac{320}{385}\\=\frac{64}{77}\)
12. \(\frac{-9}{19} . \frac{10}{8}.\frac{12}{6}\\=-\frac{9}{19}.\frac{5}{4}.\frac{2}{1}\\=-\frac{9.5.2}{19.4.1}\\=-\frac{90}{76}\\=-\frac{45}{38}\)