Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{7}{3} . \left(\frac{3}{-6}\right).\frac{12}{12}\)
2. \(\frac{-6}{-5} . \left(\frac{9}{-2}\right).\left(\frac{6}{-12}\right)\)
3. \(\frac{-2}{11} . \frac{12}{12}.\frac{9}{11}\)
4. \(\frac{-12}{-5} . \left(\frac{2}{-12}\right).\left(\frac{-9}{-9}\right)\)
5. \(\frac{6}{13} . \left(\frac{9}{-6}\right).\frac{8}{8}\)
6. \(\frac{-9}{16} . \frac{11}{2}.\frac{6}{6}\)
7. \(\frac{-6}{19} . \left(\frac{11}{-4}\right).\frac{6}{10}\)
8. \(\frac{7}{-8} . \left(\frac{-12}{10}\right).\frac{3}{6}\)
9. \(\frac{-11}{-5} . \left(\frac{8}{-3}\right).\left(\frac{7}{-8}\right)\)
10. \(\frac{-11}{-20} . \left(\frac{-6}{-9}\right).\left(\frac{7}{-12}\right)\)
11. \(\frac{-8}{-15} . \left(\frac{-8}{-8}\right).\left(\frac{-6}{4}\right)\)
12. \(\frac{-9}{-11} . \left(\frac{-11}{6}\right).\left(\frac{-9}{-10}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{7}{3} . \left(\frac{3}{-6}\right).\frac{12}{12}\\=-\frac{7}{3}.\frac{1}{2}.\frac{1}{1}\\=-\frac{7.1.1}{3.2.1}\\=-\frac{7}{6}\)
2. \(\frac{-6}{-5} . \left(\frac{9}{-2}\right).\left(\frac{6}{-12}\right)\\=+\frac{6}{5}.\frac{9}{2}.\frac{1}{2}\\=+\frac{6.9.1}{5.2.2}\\=\frac{54}{20}\\=\frac{27}{10}\)
3. \(\frac{-2}{11} . \frac{12}{12}.\frac{9}{11}\\=-\frac{2}{11}.\frac{1}{1}.\frac{9}{11}\\=-\frac{2.1.9}{11.1.11}\\=-\frac{18}{121}\)
4. \(\frac{-12}{-5} . \left(\frac{2}{-12}\right).\left(\frac{-9}{-9}\right)\\=-\frac{12}{5}.\frac{1}{6}.\frac{1}{1}\\=-\frac{12.1.1}{5.6.1}\\=-\frac{12}{30}\\=-\frac{2}{5}\)
5. \(\frac{6}{13} . \left(\frac{9}{-6}\right).\frac{8}{8}\\=-\frac{6}{13}.\frac{3}{2}.\frac{1}{1}\\=-\frac{6.3.1}{13.2.1}\\=-\frac{18}{26}\\=-\frac{9}{13}\)
6. \(\frac{-9}{16} . \frac{11}{2}.\frac{6}{6}\\=-\frac{9}{16}.\frac{11}{2}.\frac{1}{1}\\=-\frac{9.11.1}{16.2.1}\\=-\frac{99}{32}\)
7. \(\frac{-6}{19} . \left(\frac{11}{-4}\right).\frac{6}{10}\\=+\frac{6}{19}.\frac{11}{4}.\frac{3}{5}\\=+\frac{6.11.3}{19.4.5}\\=\frac{198}{380}\\=\frac{99}{190}\)
8. \(\frac{7}{-8} . \left(\frac{-12}{10}\right).\frac{3}{6}\\=+\frac{7}{8}.\frac{6}{5}.\frac{1}{2}\\=+\frac{7.6.1}{8.5.2}\\=\frac{42}{80}\\=\frac{21}{40}\)
9. \(\frac{-11}{-5} . \left(\frac{8}{-3}\right).\left(\frac{7}{-8}\right)\\=+\frac{11.8.7}{5.3.8}\\=\frac{616}{120}\\=\frac{77}{15}\)
10. \(\frac{-11}{-20} . \left(\frac{-6}{-9}\right).\left(\frac{7}{-12}\right)\\=-\frac{11}{20}.\frac{2}{3}.\frac{7}{12}\\=-\frac{11.2.7}{20.3.12}\\=-\frac{154}{720}\\=-\frac{77}{360}\)
11. \(\frac{-8}{-15} . \left(\frac{-8}{-8}\right).\left(\frac{-6}{4}\right)\\=-\frac{8}{15}.\frac{1}{1}.\frac{3}{2}\\=-\frac{8.1.3}{15.1.2}\\=-\frac{24}{30}\\=-\frac{4}{5}\)
12. \(\frac{-9}{-11} . \left(\frac{-11}{6}\right).\left(\frac{-9}{-10}\right)\\=-\frac{9.11.9}{11.6.10}\\=-\frac{891}{660}\\=-\frac{27}{20}\)