Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{7}{2} . \left(\frac{12}{-6}\right).\left(\frac{-9}{-9}\right)\)
2. \(\frac{-10}{9} . \left(\frac{-12}{4}\right).\frac{8}{7}\)
3. \(\frac{4}{-15} . \frac{12}{5}.\left(\frac{7}{-3}\right)\)
4. \(\frac{-4}{13} . \left(\frac{3}{-11}\right).\left(\frac{-11}{12}\right)\)
5. \(\frac{-4}{19} . \left(\frac{-12}{-8}\right).\left(\frac{3}{-5}\right)\)
6. \(\frac{9}{5} . \frac{8}{7}.\left(\frac{-2}{3}\right)\)
7. \(\frac{6}{-17} . \left(\frac{-3}{-5}\right).\left(\frac{-6}{-9}\right)\)
8. \(\frac{-2}{-19} . \left(\frac{2}{-11}\right).\frac{5}{11}\)
9. \(\frac{-11}{9} . \left(\frac{-11}{-4}\right).\frac{9}{6}\)
10. \(\frac{-4}{-17} . \left(\frac{-10}{-6}\right).\left(\frac{5}{-8}\right)\)
11. \(\frac{12}{-13} . \left(\frac{8}{-5}\right).\left(\frac{-11}{9}\right)\)
12. \(\frac{-10}{-9} . \left(\frac{-10}{11}\right).\left(\frac{3}{-2}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{7}{2} . \left(\frac{12}{-6}\right).\left(\frac{-9}{-9}\right)\\=-\frac{7}{2}.\frac{2}{1}.\frac{1}{1}\\=-\frac{7.2.1}{2.1.1}\\=-\frac{14}{2}\\=-\frac{7}{1}= 7\)
2. \(\frac{-10}{9} . \left(\frac{-12}{4}\right).\frac{8}{7}\\=+\frac{10}{9}.\frac{3}{1}.\frac{8}{7}\\=+\frac{10.3.8}{9.1.7}\\=\frac{240}{63}\\=\frac{80}{21}\)
3. \(\frac{4}{-15} . \frac{12}{5}.\left(\frac{7}{-3}\right)\\=+\frac{4.12.7}{15.5.3}\\=\frac{336}{225}\\=\frac{112}{75}\)
4. \(\frac{-4}{13} . \left(\frac{3}{-11}\right).\left(\frac{-11}{12}\right)\\=-\frac{4.3.11}{13.11.12}\\=-\frac{132}{1716}\\=-\frac{1}{13}\)
5. \(\frac{-4}{19} . \left(\frac{-12}{-8}\right).\left(\frac{3}{-5}\right)\\=+\frac{4}{19}.\frac{3}{2}.\frac{3}{5}\\=+\frac{4.3.3}{19.2.5}\\=\frac{36}{190}\\=\frac{18}{95}\)
6. \(\frac{9}{5} . \frac{8}{7}.\left(\frac{-2}{3}\right)\\=-\frac{9.8.2}{5.7.3}\\=-\frac{144}{105}\\=-\frac{48}{35}\)
7. \(\frac{6}{-17} . \left(\frac{-3}{-5}\right).\left(\frac{-6}{-9}\right)\\=-\frac{6}{17}.\frac{3}{5}.\frac{2}{3}\\=-\frac{6.3.2}{17.5.3}\\=-\frac{36}{255}\\=-\frac{12}{85}\)
8. \(\frac{-2}{-19} . \left(\frac{2}{-11}\right).\frac{5}{11}\\=-\frac{2.2.5}{19.11.11}\\=-\frac{20}{2299}\)
9. \(\frac{-11}{9} . \left(\frac{-11}{-4}\right).\frac{9}{6}\\=-\frac{11}{9}.\frac{11}{4}.\frac{3}{2}\\=-\frac{11.11.3}{9.4.2}\\=-\frac{363}{72}\\=-\frac{121}{24}\)
10. \(\frac{-4}{-17} . \left(\frac{-10}{-6}\right).\left(\frac{5}{-8}\right)\\=-\frac{4}{17}.\frac{5}{3}.\frac{5}{8}\\=-\frac{4.5.5}{17.3.8}\\=-\frac{100}{408}\\=-\frac{25}{102}\)
11. \(\frac{12}{-13} . \left(\frac{8}{-5}\right).\left(\frac{-11}{9}\right)\\=-\frac{12.8.11}{13.5.9}\\=-\frac{1056}{585}\\=-\frac{352}{195}\)
12. \(\frac{-10}{-9} . \left(\frac{-10}{11}\right).\left(\frac{3}{-2}\right)\\=+\frac{10.10.3}{9.11.2}\\=\frac{300}{198}\\=\frac{50}{33}\)