Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-4}{-3} . \left(\frac{-3}{6}\right).\frac{11}{4}\\=-\frac{4}{3}.\frac{1}{2}.\frac{11}{4}\\=-\frac{4.1.11}{3.2.4}\\=-\frac{44}{24}\\=-\frac{11}{6}\)
2. \(\frac{-3}{-7} . \left(\frac{7}{-8}\right).\left(\frac{-12}{5}\right)\\=+\frac{3.7.12}{7.8.5}\\=\frac{252}{280}\\=\frac{9}{10}\)
3. \(\frac{4}{9} . \left(\frac{-3}{2}\right).\frac{12}{10}\\=-\frac{4}{9}.\frac{3}{2}.\frac{6}{5}\\=-\frac{4.3.6}{9.2.5}\\=-\frac{72}{90}\\=-\frac{4}{5}\)
4. \(\frac{2}{-3} . \left(\frac{-6}{10}\right).\frac{11}{11}\\=+\frac{2}{3}.\frac{3}{5}.\frac{1}{1}\\=+\frac{2.3.1}{3.5.1}\\=\frac{6}{15}\\=\frac{2}{5}\)
5. \(\frac{9}{-13} . \left(\frac{-6}{-2}\right).\left(\frac{5}{-3}\right)\\=+\frac{9}{13}.\frac{3}{1}.\frac{5}{3}\\=+\frac{9.3.5}{13.1.3}\\=\frac{135}{39}\\=\frac{45}{13}\)
6. \(\frac{-6}{-17} . \frac{7}{10}.\left(\frac{-2}{7}\right)\\=-\frac{6.7.2}{17.10.7}\\=-\frac{84}{1190}\\=-\frac{6}{85}\)
7. \(\frac{3}{-4} . \frac{12}{4}.\left(\frac{-3}{-10}\right)\\=-\frac{3}{4}.\frac{3}{1}.\frac{3}{10}\\=-\frac{3.3.3}{4.1.10}\\=-\frac{27}{40}\)
8. \(\frac{-10}{11} . \left(\frac{3}{-2}\right).\left(\frac{-2}{-7}\right)\\=+\frac{10.3.2}{11.2.7}\\=\frac{60}{154}\\=\frac{30}{77}\)
9. \(\frac{10}{13} . \left(\frac{-9}{5}\right).\frac{5}{8}\\=-\frac{10.9.5}{13.5.8}\\=-\frac{450}{520}\\=-\frac{45}{52}\)
10. \(\frac{-5}{-16} . \left(\frac{10}{-12}\right).\left(\frac{-11}{-9}\right)\\=-\frac{5}{16}.\frac{5}{6}.\frac{11}{9}\\=-\frac{5.5.11}{16.6.9}\\=-\frac{275}{864}\)
11. \(\frac{8}{-5} . \left(\frac{-3}{-2}\right).\frac{4}{11}\\=-\frac{8.3.4}{5.2.11}\\=-\frac{96}{110}\\=-\frac{48}{55}\)
12. \(\frac{-5}{-16} . \left(\frac{2}{-11}\right).\left(\frac{-2}{8}\right)\\=+\frac{5}{16}.\frac{2}{11}.\frac{1}{4}\\=+\frac{5.2.1}{16.11.4}\\=\frac{10}{704}\\=\frac{5}{352}\)