Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{5}{4} . \left(\frac{-4}{-4}\right).\left(\frac{9}{-4}\right)\\=-\frac{5}{4}.\frac{1}{1}.\frac{9}{4}\\=-\frac{5.1.9}{4.1.4}\\=-\frac{45}{16}\)
2. \(\frac{5}{-11} . \left(\frac{-11}{6}\right).\frac{7}{8}\\=+\frac{5.11.7}{11.6.8}\\=\frac{385}{528}\\=\frac{35}{48}\)
3. \(\frac{-3}{-4} . \left(\frac{-5}{3}\right).\frac{3}{5}\\=-\frac{3.5.3}{4.3.5}\\=-\frac{45}{60}\\=-\frac{3}{4}\)
4. \(\frac{9}{2} . \left(\frac{-11}{9}\right).\left(\frac{-8}{8}\right)\\=+\frac{9}{2}.\frac{11}{9}.\frac{1}{1}\\=+\frac{9.11.1}{2.9.1}\\=\frac{99}{18}\\=\frac{11}{2}\)
5. \(\frac{-8}{7} . \frac{5}{10}.\frac{7}{12}\\=-\frac{8}{7}.\frac{1}{2}.\frac{7}{12}\\=-\frac{8.1.7}{7.2.12}\\=-\frac{56}{168}\\=-\frac{1}{3}\)
6. \(\frac{-6}{17} . \left(\frac{5}{-4}\right).\frac{11}{3}\\=+\frac{6.5.11}{17.4.3}\\=\frac{330}{204}\\=\frac{55}{34}\)
7. \(\frac{8}{9} . \frac{8}{2}.\frac{3}{3}\\=+\frac{8}{9}.\frac{4}{1}.\frac{1}{1}\\=+\frac{8.4.1}{9.1.1}\\=\frac{32}{9}\)
8. \(\frac{-5}{-4} . \left(\frac{-5}{-11}\right).\left(\frac{-2}{-9}\right)\\=+\frac{5.5.2}{4.11.9}\\=\frac{50}{396}\\=\frac{25}{198}\)
9. \(\frac{-11}{-4} . \frac{4}{8}.\left(\frac{-5}{-8}\right)\\=+\frac{11}{4}.\frac{1}{2}.\frac{5}{8}\\=+\frac{11.1.5}{4.2.8}\\=\frac{55}{64}\)
10. \(\frac{12}{-17} . \left(\frac{-12}{-2}\right).\left(\frac{-12}{5}\right)\\=+\frac{12}{17}.\frac{6}{1}.\frac{12}{5}\\=+\frac{12.6.12}{17.1.5}\\=\frac{864}{85}\)
11. \(\frac{6}{-7} . \left(\frac{-2}{6}\right).\left(\frac{-12}{5}\right)\\=-\frac{6}{7}.\frac{1}{3}.\frac{12}{5}\\=-\frac{6.1.12}{7.3.5}\\=-\frac{72}{105}\\=-\frac{24}{35}\)
12. \(\frac{-10}{19} . \frac{11}{9}.\left(\frac{12}{-10}\right)\\=+\frac{10}{19}.\frac{11}{9}.\frac{6}{5}\\=+\frac{10.11.6}{19.9.5}\\=\frac{660}{855}\\=\frac{44}{57}\)