Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{8}{-7} . \left(\frac{-4}{-4}\right).\left(\frac{5}{-5}\right)\\=+\frac{8}{7}.\frac{1}{1}.\frac{1}{1}\\=+\frac{8.1.1}{7.1.1}\\=\frac{8}{7}\)
2. \(\frac{-2}{7} . \left(\frac{-10}{5}\right).\left(\frac{10}{-9}\right)\\=-\frac{2}{7}.\frac{2}{1}.\frac{10}{9}\\=-\frac{2.2.10}{7.1.9}\\=-\frac{40}{63}\)
3. \(\frac{-8}{19} . \left(\frac{-11}{-7}\right).\left(\frac{-6}{-7}\right)\\=-\frac{8.11.6}{19.7.7}\\=-\frac{528}{931}\)
4. \(\frac{-7}{10} . \left(\frac{-8}{9}\right).\left(\frac{2}{-2}\right)\\=-\frac{7}{10}.\frac{8}{9}.\frac{1}{1}\\=-\frac{7.8.1}{10.9.1}\\=-\frac{56}{90}\\=-\frac{28}{45}\)
5. \(\frac{-12}{7} . \left(\frac{9}{-6}\right).\left(\frac{-10}{-6}\right)\\=+\frac{12}{7}.\frac{3}{2}.\frac{5}{3}\\=+\frac{12.3.5}{7.2.3}\\=\frac{180}{42}\\=\frac{30}{7}\)
6. \(\frac{-8}{3} . \left(\frac{-3}{6}\right).\frac{5}{5}\\=+\frac{8}{3}.\frac{1}{2}.\frac{1}{1}\\=+\frac{8.1.1}{3.2.1}\\=\frac{8}{6}\\=\frac{4}{3}\)
7. \(\frac{4}{19} . \left(\frac{-3}{5}\right).\left(\frac{-4}{5}\right)\\=+\frac{4.3.4}{19.5.5}\\=\frac{48}{475}\)
8. \(\frac{-10}{19} . \left(\frac{5}{-2}\right).\left(\frac{3}{-7}\right)\\=-\frac{10.5.3}{19.2.7}\\=-\frac{150}{266}\\=-\frac{75}{133}\)
9. \(\frac{-9}{19} . \frac{9}{4}.\left(\frac{3}{-3}\right)\\=+\frac{9}{19}.\frac{9}{4}.\frac{1}{1}\\=+\frac{9.9.1}{19.4.1}\\=\frac{81}{76}\)
10. \(\frac{-8}{-9} . \left(\frac{4}{-11}\right).\frac{3}{12}\\=-\frac{8}{9}.\frac{4}{11}.\frac{1}{4}\\=-\frac{8.4.1}{9.11.4}\\=-\frac{32}{396}\\=-\frac{8}{99}\)
11. \(\frac{-7}{3} . \left(\frac{-4}{12}\right).\left(\frac{-2}{4}\right)\\=-\frac{7}{3}.\frac{1}{3}.\frac{1}{2}\\=-\frac{7.1.1}{3.3.2}\\=-\frac{7}{18}\)
12. \(\frac{-4}{3} . \frac{7}{11}.\left(\frac{3}{-4}\right)\\=+\frac{4.7.3}{3.11.4}\\=\frac{84}{132}\\=\frac{7}{11}\)