Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{10}{-13} . \left(\frac{-2}{8}\right).\left(\frac{7}{-9}\right)\\=-\frac{10}{13}.\frac{1}{4}.\frac{7}{9}\\=-\frac{10.1.7}{13.4.9}\\=-\frac{70}{468}\\=-\frac{35}{234}\)
2. \(\frac{-11}{2} . \frac{9}{4}.\frac{7}{8}\\=-\frac{11.9.7}{2.4.8}\\=-\frac{693}{64}\)
3. \(\frac{6}{17} . \left(\frac{10}{-6}\right).\frac{5}{9}\\=-\frac{6}{17}.\frac{5}{3}.\frac{5}{9}\\=-\frac{6.5.5}{17.3.9}\\=-\frac{150}{459}\\=-\frac{50}{153}\)
4. \(\frac{-6}{-7} . \left(\frac{-8}{-6}\right).\left(\frac{-6}{-4}\right)\\=+\frac{6}{7}.\frac{4}{3}.\frac{3}{2}\\=+\frac{6.4.3}{7.3.2}\\=\frac{72}{42}\\=\frac{12}{7}\)
5. \(\frac{-8}{-17} . \left(\frac{12}{-12}\right).\left(\frac{10}{-9}\right)\\=+\frac{8}{17}.\frac{1}{1}.\frac{10}{9}\\=+\frac{8.1.10}{17.1.9}\\=\frac{80}{153}\)
6. \(\frac{-3}{-16} . \left(\frac{-10}{10}\right).\frac{11}{12}\\=-\frac{3}{16}.\frac{1}{1}.\frac{11}{12}\\=-\frac{3.1.11}{16.1.12}\\=-\frac{33}{192}\\=-\frac{11}{64}\)
7. \(\frac{-4}{3} . \left(\frac{8}{-11}\right).\frac{7}{12}\\=+\frac{4.8.7}{3.11.12}\\=\frac{224}{396}\\=\frac{56}{99}\)
8. \(\frac{-11}{-10} . \left(\frac{-11}{10}\right).\frac{11}{5}\\=-\frac{11.11.11}{10.10.5}\\=-\frac{1331}{500}\)
9. \(\frac{3}{-7} . \frac{7}{12}.\left(\frac{-2}{-8}\right)\\=-\frac{3}{7}.\frac{7}{12}.\frac{1}{4}\\=-\frac{3.7.1}{7.12.4}\\=-\frac{21}{336}\\=-\frac{1}{16}\)
10. \(\frac{-10}{17} . \frac{4}{12}.\left(\frac{12}{-8}\right)\\=+\frac{10}{17}.\frac{1}{3}.\frac{3}{2}\\=+\frac{10.1.3}{17.3.2}\\=\frac{30}{102}\\=\frac{5}{17}\)
11. \(\frac{-6}{5} . \left(\frac{4}{-10}\right).\left(\frac{3}{-2}\right)\\=-\frac{6}{5}.\frac{2}{5}.\frac{3}{2}\\=-\frac{6.2.3}{5.5.2}\\=-\frac{36}{50}\\=-\frac{18}{25}\)
12. \(\frac{11}{16} . \left(\frac{-8}{-8}\right).\left(\frac{-7}{-6}\right)\\=+\frac{11}{16}.\frac{1}{1}.\frac{7}{6}\\=+\frac{11.1.7}{16.1.6}\\=\frac{77}{96}\)