Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-4}{11} . \left(\frac{-3}{-7}\right).\left(\frac{8}{-7}\right)\)
2. \(\frac{-11}{5} . \left(\frac{-2}{-3}\right).\left(\frac{-11}{4}\right)\)
3. \(\frac{6}{-19} . \left(\frac{5}{-12}\right).\frac{4}{3}\)
4. \(\frac{11}{-18} . \left(\frac{-8}{-7}\right).\frac{3}{10}\)
5. \(\frac{4}{9} . \left(\frac{-8}{12}\right).\left(\frac{3}{-6}\right)\)
6. \(\frac{-2}{17} . \left(\frac{-5}{-2}\right).\frac{12}{7}\)
7. \(\frac{-2}{-13} . \frac{10}{12}.\left(\frac{-6}{-12}\right)\)
8. \(\frac{7}{-13} . \left(\frac{11}{-3}\right).\left(\frac{-2}{-4}\right)\)
9. \(\frac{3}{-20} . \frac{9}{2}.\left(\frac{3}{-10}\right)\)
10. \(\frac{6}{-19} . \frac{11}{11}.\left(\frac{3}{-5}\right)\)
11. \(\frac{-4}{7} . \frac{3}{5}.\frac{5}{5}\)
12. \(\frac{2}{7} . \left(\frac{7}{-8}\right).\left(\frac{-11}{-4}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-4}{11} . \left(\frac{-3}{-7}\right).\left(\frac{8}{-7}\right)\\=+\frac{4.3.8}{11.7.7}\\=\frac{96}{539}\)
2. \(\frac{-11}{5} . \left(\frac{-2}{-3}\right).\left(\frac{-11}{4}\right)\\=+\frac{11.2.11}{5.3.4}\\=\frac{242}{60}\\=\frac{121}{30}\)
3. \(\frac{6}{-19} . \left(\frac{5}{-12}\right).\frac{4}{3}\\=+\frac{6.5.4}{19.12.3}\\=\frac{120}{684}\\=\frac{10}{57}\)
4. \(\frac{11}{-18} . \left(\frac{-8}{-7}\right).\frac{3}{10}\\=-\frac{11.8.3}{18.7.10}\\=-\frac{264}{1260}\\=-\frac{22}{105}\)
5. \(\frac{4}{9} . \left(\frac{-8}{12}\right).\left(\frac{3}{-6}\right)\\=+\frac{4}{9}.\frac{2}{3}.\frac{1}{2}\\=+\frac{4.2.1}{9.3.2}\\=\frac{8}{54}\\=\frac{4}{27}\)
6. \(\frac{-2}{17} . \left(\frac{-5}{-2}\right).\frac{12}{7}\\=-\frac{2.5.12}{17.2.7}\\=-\frac{120}{238}\\=-\frac{60}{119}\)
7. \(\frac{-2}{-13} . \frac{10}{12}.\left(\frac{-6}{-12}\right)\\=+\frac{2}{13}.\frac{5}{6}.\frac{1}{2}\\=+\frac{2.5.1}{13.6.2}\\=\frac{10}{156}\\=\frac{5}{78}\)
8. \(\frac{7}{-13} . \left(\frac{11}{-3}\right).\left(\frac{-2}{-4}\right)\\=+\frac{7}{13}.\frac{11}{3}.\frac{1}{2}\\=+\frac{7.11.1}{13.3.2}\\=\frac{77}{78}\)
9. \(\frac{3}{-20} . \frac{9}{2}.\left(\frac{3}{-10}\right)\\=+\frac{3.9.3}{20.2.10}\\=\frac{81}{400}\)
10. \(\frac{6}{-19} . \frac{11}{11}.\left(\frac{3}{-5}\right)\\=+\frac{6}{19}.\frac{1}{1}.\frac{3}{5}\\=+\frac{6.1.3}{19.1.5}\\=\frac{18}{95}\)
11. \(\frac{-4}{7} . \frac{3}{5}.\frac{5}{5}\\=-\frac{4}{7}.\frac{3}{5}.\frac{1}{1}\\=-\frac{4.3.1}{7.5.1}\\=-\frac{12}{35}\)
12. \(\frac{2}{7} . \left(\frac{7}{-8}\right).\left(\frac{-11}{-4}\right)\\=-\frac{2.7.11}{7.8.4}\\=-\frac{154}{224}\\=-\frac{11}{16}\)