Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-11}{-6} . \frac{8}{7}.\left(\frac{-7}{-10}\right)\)
2. \(\frac{-9}{-7} . \left(\frac{8}{-12}\right).\left(\frac{-4}{10}\right)\)
3. \(\frac{4}{11} . \left(\frac{10}{-4}\right).\left(\frac{10}{-11}\right)\)
4. \(\frac{4}{7} . \left(\frac{-2}{-4}\right).\frac{5}{9}\)
5. \(\frac{4}{3} . \frac{9}{7}.\left(\frac{-6}{2}\right)\)
6. \(\frac{4}{19} . \left(\frac{4}{-11}\right).\left(\frac{-2}{-7}\right)\)
7. \(\frac{8}{15} . \frac{6}{2}.\left(\frac{-8}{-4}\right)\)
8. \(\frac{6}{-5} . \frac{3}{2}.\left(\frac{-2}{4}\right)\)
9. \(\frac{-2}{-3} . \left(\frac{10}{-7}\right).\frac{3}{7}\)
10. \(\frac{12}{-13} . \left(\frac{-7}{12}\right).\left(\frac{-8}{9}\right)\)
11. \(\frac{-11}{16} . \left(\frac{-11}{8}\right).\left(\frac{-11}{-9}\right)\)
12. \(\frac{3}{17} . \left(\frac{-9}{-8}\right).\left(\frac{4}{-11}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-11}{-6} . \frac{8}{7}.\left(\frac{-7}{-10}\right)\\=+\frac{11.8.7}{6.7.10}\\=\frac{616}{420}\\=\frac{22}{15}\)
2. \(\frac{-9}{-7} . \left(\frac{8}{-12}\right).\left(\frac{-4}{10}\right)\\=+\frac{9}{7}.\frac{2}{3}.\frac{2}{5}\\=+\frac{9.2.2}{7.3.5}\\=\frac{36}{105}\\=\frac{12}{35}\)
3. \(\frac{4}{11} . \left(\frac{10}{-4}\right).\left(\frac{10}{-11}\right)\\=+\frac{4}{11}.\frac{5}{2}.\frac{10}{11}\\=+\frac{4.5.10}{11.2.11}\\=\frac{200}{242}\\=\frac{100}{121}\)
4. \(\frac{4}{7} . \left(\frac{-2}{-4}\right).\frac{5}{9}\\=+\frac{4}{7}.\frac{1}{2}.\frac{5}{9}\\=+\frac{4.1.5}{7.2.9}\\=\frac{20}{126}\\=\frac{10}{63}\)
5. \(\frac{4}{3} . \frac{9}{7}.\left(\frac{-6}{2}\right)\\=-\frac{4}{3}.\frac{9}{7}.\frac{3}{1}\\=-\frac{4.9.3}{3.7.1}\\=-\frac{108}{21}\\=-\frac{36}{7}\)
6. \(\frac{4}{19} . \left(\frac{4}{-11}\right).\left(\frac{-2}{-7}\right)\\=-\frac{4.4.2}{19.11.7}\\=-\frac{32}{1463}\)
7. \(\frac{8}{15} . \frac{6}{2}.\left(\frac{-8}{-4}\right)\\=+\frac{8}{15}.\frac{3}{1}.\frac{2}{1}\\=+\frac{8.3.2}{15.1.1}\\=\frac{48}{15}\\=\frac{16}{5}\)
8. \(\frac{6}{-5} . \frac{3}{2}.\left(\frac{-2}{4}\right)\\=+\frac{6}{5}.\frac{3}{2}.\frac{1}{2}\\=+\frac{6.3.1}{5.2.2}\\=\frac{18}{20}\\=\frac{9}{10}\)
9. \(\frac{-2}{-3} . \left(\frac{10}{-7}\right).\frac{3}{7}\\=-\frac{2.10.3}{3.7.7}\\=-\frac{60}{147}\\=-\frac{20}{49}\)
10. \(\frac{12}{-13} . \left(\frac{-7}{12}\right).\left(\frac{-8}{9}\right)\\=-\frac{12.7.8}{13.12.9}\\=-\frac{672}{1404}\\=-\frac{56}{117}\)
11. \(\frac{-11}{16} . \left(\frac{-11}{8}\right).\left(\frac{-11}{-9}\right)\\=+\frac{11.11.11}{16.8.9}\\=\frac{1331}{1152}\)
12. \(\frac{3}{17} . \left(\frac{-9}{-8}\right).\left(\frac{4}{-11}\right)\\=-\frac{3.9.4}{17.8.11}\\=-\frac{108}{1496}\\=-\frac{27}{374}\)