Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{9}{8} . \frac{9}{8}.\frac{11}{7}\\=+\frac{9.9.11}{8.8.7}\\=\frac{891}{448}\)
2. \(\frac{4}{15} . \left(\frac{-9}{-5}\right).\left(\frac{10}{-6}\right)\\=-\frac{4}{15}.\frac{9}{5}.\frac{5}{3}\\=-\frac{4.9.5}{15.5.3}\\=-\frac{180}{225}\\=-\frac{4}{5}\)
3. \(\frac{-10}{-13} . \left(\frac{2}{-5}\right).\left(\frac{-9}{-5}\right)\\=-\frac{10.2.9}{13.5.5}\\=-\frac{180}{325}\\=-\frac{36}{65}\)
4. \(\frac{9}{13} . \left(\frac{11}{-3}\right).\left(\frac{2}{-12}\right)\\=+\frac{9}{13}.\frac{11}{3}.\frac{1}{6}\\=+\frac{9.11.1}{13.3.6}\\=\frac{99}{234}\\=\frac{11}{26}\)
5. \(\frac{-6}{-11} . \left(\frac{-5}{-6}\right).\left(\frac{-11}{3}\right)\\=-\frac{6.5.11}{11.6.3}\\=-\frac{330}{198}\\=-\frac{5}{3}\)
6. \(\frac{5}{8} . \left(\frac{6}{-6}\right).\left(\frac{-3}{8}\right)\\=+\frac{5}{8}.\frac{1}{1}.\frac{3}{8}\\=+\frac{5.1.3}{8.1.8}\\=\frac{15}{64}\)
7. \(\frac{-2}{13} . \left(\frac{-11}{-7}\right).\left(\frac{3}{-5}\right)\\=+\frac{2.11.3}{13.7.5}\\=\frac{66}{455}\)
8. \(\frac{6}{-19} . \left(\frac{-10}{-11}\right).\left(\frac{-4}{12}\right)\\=+\frac{6}{19}.\frac{10}{11}.\frac{1}{3}\\=+\frac{6.10.1}{19.11.3}\\=\frac{60}{627}\\=\frac{20}{209}\)
9. \(\frac{-8}{19} . \left(\frac{-6}{-8}\right).\left(\frac{4}{-8}\right)\\=+\frac{8}{19}.\frac{3}{4}.\frac{1}{2}\\=+\frac{8.3.1}{19.4.2}\\=\frac{24}{152}\\=\frac{3}{19}\)
10. \(\frac{4}{17} . \left(\frac{-6}{-10}\right).\left(\frac{7}{-6}\right)\\=-\frac{4}{17}.\frac{3}{5}.\frac{7}{6}\\=-\frac{4.3.7}{17.5.6}\\=-\frac{84}{510}\\=-\frac{14}{85}\)
11. \(\frac{-4}{17} . \left(\frac{-10}{7}\right).\frac{9}{5}\\=+\frac{4.10.9}{17.7.5}\\=\frac{360}{595}\\=\frac{72}{119}\)
12. \(\frac{10}{-17} . \left(\frac{6}{-10}\right).\frac{12}{2}\\=+\frac{10}{17}.\frac{3}{5}.\frac{6}{1}\\=+\frac{10.3.6}{17.5.1}\\=\frac{180}{85}\\=\frac{36}{17}\)