Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-6}{19} . \frac{2}{6}.\frac{7}{11}\)
2. \(\frac{3}{-13} . \left(\frac{-5}{-3}\right).\left(\frac{-5}{-2}\right)\)
3. \(\frac{-9}{10} . \frac{5}{12}.\left(\frac{6}{-2}\right)\)
4. \(\frac{-4}{-11} . \left(\frac{-6}{12}\right).\left(\frac{-6}{11}\right)\)
5. \(\frac{10}{17} . \frac{6}{8}.\frac{6}{5}\)
6. \(\frac{11}{7} . \left(\frac{-9}{-7}\right).\left(\frac{-7}{8}\right)\)
7. \(\frac{-2}{3} . \left(\frac{2}{-8}\right).\left(\frac{4}{-4}\right)\)
8. \(\frac{-4}{15} . \left(\frac{-2}{-7}\right).\frac{4}{11}\)
9. \(\frac{-7}{18} . \left(\frac{5}{-5}\right).\frac{4}{5}\)
10. \(\frac{-9}{19} . \frac{8}{2}.\frac{2}{5}\)
11. \(\frac{-4}{11} . \left(\frac{-7}{-6}\right).\frac{6}{6}\)
12. \(\frac{-4}{7} . \left(\frac{-8}{-7}\right).\left(\frac{9}{-12}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-6}{19} . \frac{2}{6}.\frac{7}{11}\\=-\frac{6}{19}.\frac{1}{3}.\frac{7}{11}\\=-\frac{6.1.7}{19.3.11}\\=-\frac{42}{627}\\=-\frac{14}{209}\)
2. \(\frac{3}{-13} . \left(\frac{-5}{-3}\right).\left(\frac{-5}{-2}\right)\\=-\frac{3.5.5}{13.3.2}\\=-\frac{75}{78}\\=-\frac{25}{26}\)
3. \(\frac{-9}{10} . \frac{5}{12}.\left(\frac{6}{-2}\right)\\=+\frac{9}{10}.\frac{5}{12}.\frac{3}{1}\\=+\frac{9.5.3}{10.12.1}\\=\frac{135}{120}\\=\frac{9}{8}\)
4. \(\frac{-4}{-11} . \left(\frac{-6}{12}\right).\left(\frac{-6}{11}\right)\\=+\frac{4}{11}.\frac{1}{2}.\frac{6}{11}\\=+\frac{4.1.6}{11.2.11}\\=\frac{24}{242}\\=\frac{12}{121}\)
5. \(\frac{10}{17} . \frac{6}{8}.\frac{6}{5}\\=+\frac{10}{17}.\frac{3}{4}.\frac{6}{5}\\=+\frac{10.3.6}{17.4.5}\\=\frac{180}{340}\\=\frac{9}{17}\)
6. \(\frac{11}{7} . \left(\frac{-9}{-7}\right).\left(\frac{-7}{8}\right)\\=-\frac{11.9.7}{7.7.8}\\=-\frac{693}{392}\\=-\frac{99}{56}\)
7. \(\frac{-2}{3} . \left(\frac{2}{-8}\right).\left(\frac{4}{-4}\right)\\=-\frac{2}{3}.\frac{1}{4}.\frac{1}{1}\\=-\frac{2.1.1}{3.4.1}\\=-\frac{2}{12}\\=-\frac{1}{6}\)
8. \(\frac{-4}{15} . \left(\frac{-2}{-7}\right).\frac{4}{11}\\=-\frac{4.2.4}{15.7.11}\\=-\frac{32}{1155}\)
9. \(\frac{-7}{18} . \left(\frac{5}{-5}\right).\frac{4}{5}\\=+\frac{7}{18}.\frac{1}{1}.\frac{4}{5}\\=+\frac{7.1.4}{18.1.5}\\=\frac{28}{90}\\=\frac{14}{45}\)
10. \(\frac{-9}{19} . \frac{8}{2}.\frac{2}{5}\\=-\frac{9}{19}.\frac{4}{1}.\frac{2}{5}\\=-\frac{9.4.2}{19.1.5}\\=-\frac{72}{95}\)
11. \(\frac{-4}{11} . \left(\frac{-7}{-6}\right).\frac{6}{6}\\=-\frac{4}{11}.\frac{7}{6}.\frac{1}{1}\\=-\frac{4.7.1}{11.6.1}\\=-\frac{28}{66}\\=-\frac{14}{33}\)
12. \(\frac{-4}{7} . \left(\frac{-8}{-7}\right).\left(\frac{9}{-12}\right)\\=+\frac{4}{7}.\frac{8}{7}.\frac{3}{4}\\=+\frac{4.8.3}{7.7.4}\\=\frac{96}{196}\\=\frac{24}{49}\)