Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-7}{9} . \left(\frac{9}{-2}\right).\left(\frac{11}{-2}\right)\\=-\frac{7.9.11}{9.2.2}\\=-\frac{693}{36}\\=-\frac{77}{4}\)
2. \(\frac{-6}{19} . \left(\frac{-11}{-8}\right).\left(\frac{11}{-7}\right)\\=+\frac{6.11.11}{19.8.7}\\=\frac{726}{1064}\\=\frac{363}{532}\)
3. \(\frac{3}{4} . \frac{6}{10}.\left(\frac{11}{-6}\right)\\=-\frac{3}{4}.\frac{3}{5}.\frac{11}{6}\\=-\frac{3.3.11}{4.5.6}\\=-\frac{99}{120}\\=-\frac{33}{40}\)
4. \(\frac{-8}{3} . \left(\frac{11}{-12}\right).\left(\frac{-8}{11}\right)\\=-\frac{8.11.8}{3.12.11}\\=-\frac{704}{396}\\=-\frac{16}{9}\)
5. \(\frac{-10}{11} . \frac{3}{5}.\left(\frac{-8}{-2}\right)\\=-\frac{10}{11}.\frac{3}{5}.\frac{4}{1}\\=-\frac{10.3.4}{11.5.1}\\=-\frac{120}{55}\\=-\frac{24}{11}\)
6. \(\frac{12}{-17} . \frac{8}{2}.\left(\frac{-10}{6}\right)\\=+\frac{12}{17}.\frac{4}{1}.\frac{5}{3}\\=+\frac{12.4.5}{17.1.3}\\=\frac{240}{51}\\=\frac{80}{17}\)
7. \(\frac{9}{10} . \left(\frac{-8}{-6}\right).\frac{4}{11}\\=+\frac{9}{10}.\frac{4}{3}.\frac{4}{11}\\=+\frac{9.4.4}{10.3.11}\\=\frac{144}{330}\\=\frac{24}{55}\)
8. \(\frac{5}{6} . \left(\frac{-2}{3}\right).\left(\frac{-10}{-5}\right)\\=-\frac{5}{6}.\frac{2}{3}.\frac{2}{1}\\=-\frac{5.2.2}{6.3.1}\\=-\frac{20}{18}\\=-\frac{10}{9}\)
9. \(\frac{4}{-11} . \left(\frac{-4}{-6}\right).\left(\frac{-5}{4}\right)\\=+\frac{4}{11}.\frac{2}{3}.\frac{5}{4}\\=+\frac{4.2.5}{11.3.4}\\=\frac{40}{132}\\=\frac{10}{33}\)
10. \(\frac{-8}{-3} . \frac{9}{6}.\left(\frac{4}{-10}\right)\\=-\frac{8}{3}.\frac{3}{2}.\frac{2}{5}\\=-\frac{8.3.2}{3.2.5}\\=-\frac{48}{30}\\=-\frac{8}{5}\)
11. \(\frac{9}{10} . \frac{10}{11}.\left(\frac{-4}{-10}\right)\\=+\frac{9}{10}.\frac{10}{11}.\frac{2}{5}\\=+\frac{9.10.2}{10.11.5}\\=\frac{180}{550}\\=\frac{18}{55}\)
12. \(\frac{-7}{-9} . \left(\frac{-6}{-3}\right).\left(\frac{-5}{-4}\right)\\=+\frac{7}{9}.\frac{2}{1}.\frac{5}{4}\\=+\frac{7.2.5}{9.1.4}\\=\frac{70}{36}\\=\frac{35}{18}\)