Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-4}{17} . \frac{12}{8}.\left(\frac{-3}{-3}\right)\\=-\frac{4}{17}.\frac{3}{2}.\frac{1}{1}\\=-\frac{4.3.1}{17.2.1}\\=-\frac{12}{34}\\=-\frac{6}{17}\)
2. \(\frac{-4}{-5} . \frac{6}{6}.\frac{12}{10}\\=+\frac{4}{5}.\frac{1}{1}.\frac{6}{5}\\=+\frac{4.1.6}{5.1.5}\\=\frac{24}{25}\)
3. \(\frac{5}{-11} . \left(\frac{-10}{5}\right).\left(\frac{-3}{-11}\right)\\=+\frac{5}{11}.\frac{2}{1}.\frac{3}{11}\\=+\frac{5.2.3}{11.1.11}\\=\frac{30}{121}\)
4. \(\frac{-3}{11} . \left(\frac{-7}{-5}\right).\left(\frac{-8}{-2}\right)\\=-\frac{3}{11}.\frac{7}{5}.\frac{4}{1}\\=-\frac{3.7.4}{11.5.1}\\=-\frac{84}{55}\)
5. \(\frac{12}{7} . \left(\frac{-3}{8}\right).\left(\frac{-3}{5}\right)\\=+\frac{12.3.3}{7.8.5}\\=\frac{108}{280}\\=\frac{27}{70}\)
6. \(\frac{-5}{-6} . \left(\frac{3}{-10}\right).\frac{4}{2}\\=-\frac{5}{6}.\frac{3}{10}.\frac{2}{1}\\=-\frac{5.3.2}{6.10.1}\\=-\frac{30}{60}\\=-\frac{1}{2}\)
7. \(\frac{4}{-15} . \frac{4}{10}.\left(\frac{11}{-5}\right)\\=+\frac{4}{15}.\frac{2}{5}.\frac{11}{5}\\=+\frac{4.2.11}{15.5.5}\\=\frac{88}{375}\)
8. \(\frac{-5}{12} . \frac{2}{5}.\left(\frac{-6}{-6}\right)\\=-\frac{5}{12}.\frac{2}{5}.\frac{1}{1}\\=-\frac{5.2.1}{12.5.1}\\=-\frac{10}{60}\\=-\frac{1}{6}\)
9. \(\frac{10}{11} . \left(\frac{7}{-2}\right).\left(\frac{-4}{-3}\right)\\=-\frac{10.7.4}{11.2.3}\\=-\frac{280}{66}\\=-\frac{140}{33}\)
10. \(\frac{-9}{-5} . \left(\frac{-2}{-8}\right).\left(\frac{11}{-10}\right)\\=-\frac{9}{5}.\frac{1}{4}.\frac{11}{10}\\=-\frac{9.1.11}{5.4.10}\\=-\frac{99}{200}\)
11. \(\frac{5}{6} . \frac{9}{10}.\left(\frac{4}{-12}\right)\\=-\frac{5}{6}.\frac{9}{10}.\frac{1}{3}\\=-\frac{5.9.1}{6.10.3}\\=-\frac{45}{180}\\=-\frac{1}{4}\)
12. \(\frac{-12}{-5} . \frac{7}{12}.\frac{5}{10}\\=+\frac{12}{5}.\frac{7}{12}.\frac{1}{2}\\=+\frac{12.7.1}{5.12.2}\\=\frac{84}{120}\\=\frac{7}{10}\)