Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{7}{-18} . \left(\frac{-9}{-7}\right).\left(\frac{-9}{7}\right)\)
2. \(\frac{-6}{5} . \frac{11}{6}.\frac{12}{6}\)
3. \(\frac{2}{-15} . \left(\frac{-8}{7}\right).\left(\frac{-11}{4}\right)\)
4. \(\frac{-6}{11} . \left(\frac{-5}{12}\right).\frac{8}{5}\)
5. \(\frac{-12}{19} . \left(\frac{4}{-2}\right).\left(\frac{-3}{-9}\right)\)
6. \(\frac{8}{-3} . \left(\frac{-8}{5}\right).\left(\frac{-5}{11}\right)\)
7. \(\frac{3}{4} . \left(\frac{8}{-12}\right).\left(\frac{12}{-7}\right)\)
8. \(\frac{8}{-17} . \frac{10}{4}.\frac{4}{6}\)
9. \(\frac{-7}{16} . \left(\frac{9}{-2}\right).\left(\frac{5}{-8}\right)\)
10. \(\frac{-11}{3} . \left(\frac{-6}{11}\right).\left(\frac{7}{-8}\right)\)
11. \(\frac{10}{-17} . \left(\frac{-8}{8}\right).\left(\frac{11}{-5}\right)\)
12. \(\frac{-9}{11} . \left(\frac{-11}{-6}\right).\frac{7}{5}\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{7}{-18} . \left(\frac{-9}{-7}\right).\left(\frac{-9}{7}\right)\\=+\frac{7.9.9}{18.7.7}\\=\frac{567}{882}\\=\frac{9}{14}\)
2. \(\frac{-6}{5} . \frac{11}{6}.\frac{12}{6}\\=-\frac{6}{5}.\frac{11}{6}.\frac{2}{1}\\=-\frac{6.11.2}{5.6.1}\\=-\frac{132}{30}\\=-\frac{22}{5}\)
3. \(\frac{2}{-15} . \left(\frac{-8}{7}\right).\left(\frac{-11}{4}\right)\\=-\frac{2.8.11}{15.7.4}\\=-\frac{176}{420}\\=-\frac{44}{105}\)
4. \(\frac{-6}{11} . \left(\frac{-5}{12}\right).\frac{8}{5}\\=+\frac{6.5.8}{11.12.5}\\=\frac{240}{660}\\=\frac{4}{11}\)
5. \(\frac{-12}{19} . \left(\frac{4}{-2}\right).\left(\frac{-3}{-9}\right)\\=+\frac{12}{19}.\frac{2}{1}.\frac{1}{3}\\=+\frac{12.2.1}{19.1.3}\\=\frac{24}{57}\\=\frac{8}{19}\)
6. \(\frac{8}{-3} . \left(\frac{-8}{5}\right).\left(\frac{-5}{11}\right)\\=-\frac{8.8.5}{3.5.11}\\=-\frac{320}{165}\\=-\frac{64}{33}\)
7. \(\frac{3}{4} . \left(\frac{8}{-12}\right).\left(\frac{12}{-7}\right)\\=+\frac{3}{4}.\frac{2}{3}.\frac{12}{7}\\=+\frac{3.2.12}{4.3.7}\\=\frac{72}{84}\\=\frac{6}{7}\)
8. \(\frac{8}{-17} . \frac{10}{4}.\frac{4}{6}\\=-\frac{8}{17}.\frac{5}{2}.\frac{2}{3}\\=-\frac{8.5.2}{17.2.3}\\=-\frac{80}{102}\\=-\frac{40}{51}\)
9. \(\frac{-7}{16} . \left(\frac{9}{-2}\right).\left(\frac{5}{-8}\right)\\=-\frac{7.9.5}{16.2.8}\\=-\frac{315}{256}\)
10. \(\frac{-11}{3} . \left(\frac{-6}{11}\right).\left(\frac{7}{-8}\right)\\=-\frac{11.6.7}{3.11.8}\\=-\frac{462}{264}\\=-\frac{7}{4}\)
11. \(\frac{10}{-17} . \left(\frac{-8}{8}\right).\left(\frac{11}{-5}\right)\\=-\frac{10}{17}.\frac{1}{1}.\frac{11}{5}\\=-\frac{10.1.11}{17.1.5}\\=-\frac{110}{85}\\=-\frac{22}{17}\)
12. \(\frac{-9}{11} . \left(\frac{-11}{-6}\right).\frac{7}{5}\\=-\frac{9.11.7}{11.6.5}\\=-\frac{693}{330}\\=-\frac{21}{10}\)