Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{10}{17} . \left(\frac{-11}{-4}\right).\left(\frac{-6}{-2}\right)\\=+\frac{10}{17}.\frac{11}{4}.\frac{3}{1}\\=+\frac{10.11.3}{17.4.1}\\=\frac{330}{68}\\=\frac{165}{34}\)
2. \(\frac{-4}{-3} . \left(\frac{7}{-6}\right).\frac{4}{8}\\=-\frac{4}{3}.\frac{7}{6}.\frac{1}{2}\\=-\frac{4.7.1}{3.6.2}\\=-\frac{28}{36}\\=-\frac{7}{9}\)
3. \(\frac{10}{13} . \left(\frac{-12}{-10}\right).\left(\frac{6}{-9}\right)\\=-\frac{10}{13}.\frac{6}{5}.\frac{2}{3}\\=-\frac{10.6.2}{13.5.3}\\=-\frac{120}{195}\\=-\frac{8}{13}\)
4. \(\frac{-12}{11} . \left(\frac{-8}{-12}\right).\frac{11}{12}\\=-\frac{12}{11}.\frac{2}{3}.\frac{11}{12}\\=-\frac{12.2.11}{11.3.12}\\=-\frac{264}{396}\\=-\frac{2}{3}\)
5. \(\frac{-6}{-19} . \left(\frac{-6}{10}\right).\left(\frac{5}{-9}\right)\\=+\frac{6}{19}.\frac{3}{5}.\frac{5}{9}\\=+\frac{6.3.5}{19.5.9}\\=\frac{90}{855}\\=\frac{2}{19}\)
6. \(\frac{3}{4} . \left(\frac{-9}{5}\right).\left(\frac{3}{-11}\right)\\=+\frac{3.9.3}{4.5.11}\\=\frac{81}{220}\)
7. \(\frac{2}{-13} . \frac{2}{4}.\left(\frac{-7}{-10}\right)\\=-\frac{2}{13}.\frac{1}{2}.\frac{7}{10}\\=-\frac{2.1.7}{13.2.10}\\=-\frac{14}{260}\\=-\frac{7}{130}\)
8. \(\frac{11}{-2} . \left(\frac{11}{-4}\right).\frac{6}{3}\\=+\frac{11}{2}.\frac{11}{4}.\frac{2}{1}\\=+\frac{11.11.2}{2.4.1}\\=\frac{242}{8}\\=\frac{121}{4}\)
9. \(\frac{-8}{13} . \frac{7}{3}.\left(\frac{-11}{-6}\right)\\=-\frac{8.7.11}{13.3.6}\\=-\frac{616}{234}\\=-\frac{308}{117}\)
10. \(\frac{4}{5} . \left(\frac{-6}{2}\right).\left(\frac{-3}{-6}\right)\\=-\frac{4}{5}.\frac{3}{1}.\frac{1}{2}\\=-\frac{4.3.1}{5.1.2}\\=-\frac{12}{10}\\=-\frac{6}{5}\)
11. \(\frac{-10}{-19} . \frac{4}{10}.\left(\frac{3}{-11}\right)\\=-\frac{10}{19}.\frac{2}{5}.\frac{3}{11}\\=-\frac{10.2.3}{19.5.11}\\=-\frac{60}{1045}\\=-\frac{12}{209}\)
12. \(\frac{6}{-7} . \frac{12}{2}.\left(\frac{-9}{-6}\right)\\=-\frac{6}{7}.\frac{6}{1}.\frac{3}{2}\\=-\frac{6.6.3}{7.1.2}\\=-\frac{108}{14}\\=-\frac{54}{7}\)