Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-8}{5} . \frac{8}{9}.\frac{9}{4}\)
2. \(\frac{-10}{19} . \left(\frac{-9}{6}\right).\frac{7}{5}\)
3. \(\frac{-7}{8} . \left(\frac{-3}{-12}\right).\left(\frac{-5}{-9}\right)\)
4. \(\frac{10}{-19} . \left(\frac{10}{-7}\right).\left(\frac{-3}{3}\right)\)
5. \(\frac{5}{18} . \left(\frac{5}{-2}\right).\left(\frac{3}{-12}\right)\)
6. \(\frac{8}{-3} . \left(\frac{-6}{-11}\right).\left(\frac{9}{-4}\right)\)
7. \(\frac{-8}{3} . \left(\frac{12}{-6}\right).\left(\frac{-11}{9}\right)\)
8. \(\frac{9}{-4} . \left(\frac{5}{-3}\right).\left(\frac{8}{-11}\right)\)
9. \(\frac{4}{13} . \left(\frac{5}{-5}\right).\left(\frac{-11}{-7}\right)\)
10. \(\frac{-9}{5} . \left(\frac{6}{-2}\right).\left(\frac{9}{-10}\right)\)
11. \(\frac{10}{7} . \left(\frac{-5}{-11}\right).\left(\frac{-9}{5}\right)\)
12. \(\frac{7}{-20} . \left(\frac{2}{-6}\right).\left(\frac{-7}{7}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-8}{5} . \frac{8}{9}.\frac{9}{4}\\=-\frac{8.8.9}{5.9.4}\\=-\frac{576}{180}\\=-\frac{16}{5}\)
2. \(\frac{-10}{19} . \left(\frac{-9}{6}\right).\frac{7}{5}\\=+\frac{10}{19}.\frac{3}{2}.\frac{7}{5}\\=+\frac{10.3.7}{19.2.5}\\=\frac{210}{190}\\=\frac{21}{19}\)
3. \(\frac{-7}{8} . \left(\frac{-3}{-12}\right).\left(\frac{-5}{-9}\right)\\=-\frac{7}{8}.\frac{1}{4}.\frac{5}{9}\\=-\frac{7.1.5}{8.4.9}\\=-\frac{35}{288}\)
4. \(\frac{10}{-19} . \left(\frac{10}{-7}\right).\left(\frac{-3}{3}\right)\\=-\frac{10}{19}.\frac{10}{7}.\frac{1}{1}\\=-\frac{10.10.1}{19.7.1}\\=-\frac{100}{133}\)
5. \(\frac{5}{18} . \left(\frac{5}{-2}\right).\left(\frac{3}{-12}\right)\\=+\frac{5}{18}.\frac{5}{2}.\frac{1}{4}\\=+\frac{5.5.1}{18.2.4}\\=\frac{25}{144}\)
6. \(\frac{8}{-3} . \left(\frac{-6}{-11}\right).\left(\frac{9}{-4}\right)\\=+\frac{8.6.9}{3.11.4}\\=\frac{432}{132}\\=\frac{36}{11}\)
7. \(\frac{-8}{3} . \left(\frac{12}{-6}\right).\left(\frac{-11}{9}\right)\\=-\frac{8}{3}.\frac{2}{1}.\frac{11}{9}\\=-\frac{8.2.11}{3.1.9}\\=-\frac{176}{27}\)
8. \(\frac{9}{-4} . \left(\frac{5}{-3}\right).\left(\frac{8}{-11}\right)\\=-\frac{9.5.8}{4.3.11}\\=-\frac{360}{132}\\=-\frac{30}{11}\)
9. \(\frac{4}{13} . \left(\frac{5}{-5}\right).\left(\frac{-11}{-7}\right)\\=-\frac{4}{13}.\frac{1}{1}.\frac{11}{7}\\=-\frac{4.1.11}{13.1.7}\\=-\frac{44}{91}\)
10. \(\frac{-9}{5} . \left(\frac{6}{-2}\right).\left(\frac{9}{-10}\right)\\=-\frac{9}{5}.\frac{3}{1}.\frac{9}{10}\\=-\frac{9.3.9}{5.1.10}\\=-\frac{243}{50}\)
11. \(\frac{10}{7} . \left(\frac{-5}{-11}\right).\left(\frac{-9}{5}\right)\\=-\frac{10.5.9}{7.11.5}\\=-\frac{450}{385}\\=-\frac{90}{77}\)
12. \(\frac{7}{-20} . \left(\frac{2}{-6}\right).\left(\frac{-7}{7}\right)\\=-\frac{7}{20}.\frac{1}{3}.\frac{1}{1}\\=-\frac{7.1.1}{20.3.1}\\=-\frac{7}{60}\)