Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{2}{15} . \left(\frac{9}{-11}\right).\left(\frac{-11}{-4}\right)\)
2. \(\frac{12}{5} . \left(\frac{-5}{-7}\right).\frac{9}{10}\)
3. \(\frac{6}{-11} . \left(\frac{-3}{-10}\right).\left(\frac{10}{-8}\right)\)
4. \(\frac{-7}{-6} . \left(\frac{-11}{9}\right).\left(\frac{-3}{-11}\right)\)
5. \(\frac{6}{-11} . \frac{4}{2}.\left(\frac{-6}{12}\right)\)
6. \(\frac{-10}{7} . \left(\frac{-8}{10}\right).\frac{8}{3}\)
7. \(\frac{-4}{-3} . \left(\frac{12}{-12}\right).\left(\frac{-10}{-11}\right)\)
8. \(\frac{-3}{-13} . \left(\frac{4}{-8}\right).\left(\frac{2}{-10}\right)\)
9. \(\frac{-8}{-15} . \left(\frac{-9}{-12}\right).\left(\frac{-10}{7}\right)\)
10. \(\frac{-2}{3} . \left(\frac{12}{-6}\right).\left(\frac{-9}{-2}\right)\)
11. \(\frac{5}{3} . \left(\frac{8}{-5}\right).\left(\frac{-3}{2}\right)\)
12. \(\frac{-6}{-17} . \left(\frac{-5}{2}\right).\left(\frac{8}{-2}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{2}{15} . \left(\frac{9}{-11}\right).\left(\frac{-11}{-4}\right)\\=-\frac{2.9.11}{15.11.4}\\=-\frac{198}{660}\\=-\frac{3}{10}\)
2. \(\frac{12}{5} . \left(\frac{-5}{-7}\right).\frac{9}{10}\\=+\frac{12.5.9}{5.7.10}\\=\frac{540}{350}\\=\frac{54}{35}\)
3. \(\frac{6}{-11} . \left(\frac{-3}{-10}\right).\left(\frac{10}{-8}\right)\\=+\frac{6}{11}.\frac{3}{10}.\frac{5}{4}\\=+\frac{6.3.5}{11.10.4}\\=\frac{90}{440}\\=\frac{9}{44}\)
4. \(\frac{-7}{-6} . \left(\frac{-11}{9}\right).\left(\frac{-3}{-11}\right)\\=-\frac{7.11.3}{6.9.11}\\=-\frac{231}{594}\\=-\frac{7}{18}\)
5. \(\frac{6}{-11} . \frac{4}{2}.\left(\frac{-6}{12}\right)\\=+\frac{6}{11}.\frac{2}{1}.\frac{1}{2}\\=+\frac{6.2.1}{11.1.2}\\=\frac{12}{22}\\=\frac{6}{11}\)
6. \(\frac{-10}{7} . \left(\frac{-8}{10}\right).\frac{8}{3}\\=+\frac{10}{7}.\frac{4}{5}.\frac{8}{3}\\=+\frac{10.4.8}{7.5.3}\\=\frac{320}{105}\\=\frac{64}{21}\)
7. \(\frac{-4}{-3} . \left(\frac{12}{-12}\right).\left(\frac{-10}{-11}\right)\\=-\frac{4}{3}.\frac{1}{1}.\frac{10}{11}\\=-\frac{4.1.10}{3.1.11}\\=-\frac{40}{33}\)
8. \(\frac{-3}{-13} . \left(\frac{4}{-8}\right).\left(\frac{2}{-10}\right)\\=+\frac{3}{13}.\frac{1}{2}.\frac{1}{5}\\=+\frac{3.1.1}{13.2.5}\\=\frac{3}{130}\)
9. \(\frac{-8}{-15} . \left(\frac{-9}{-12}\right).\left(\frac{-10}{7}\right)\\=-\frac{8}{15}.\frac{3}{4}.\frac{10}{7}\\=-\frac{8.3.10}{15.4.7}\\=-\frac{240}{420}\\=-\frac{4}{7}\)
10. \(\frac{-2}{3} . \left(\frac{12}{-6}\right).\left(\frac{-9}{-2}\right)\\=+\frac{2}{3}.\frac{2}{1}.\frac{9}{2}\\=+\frac{2.2.9}{3.1.2}\\=\frac{36}{6}\\=\frac{6}{1}= 6\)
11. \(\frac{5}{3} . \left(\frac{8}{-5}\right).\left(\frac{-3}{2}\right)\\=+\frac{5.8.3}{3.5.2}\\=\frac{120}{30}\\=\frac{4}{1}= 4\)
12. \(\frac{-6}{-17} . \left(\frac{-5}{2}\right).\left(\frac{8}{-2}\right)\\=+\frac{6}{17}.\frac{5}{2}.\frac{4}{1}\\=+\frac{6.5.4}{17.2.1}\\=\frac{120}{34}\\=\frac{60}{17}\)