Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{7}{2} . \left(\frac{-12}{9}\right).\frac{2}{6}\\=-\frac{7}{2}.\frac{4}{3}.\frac{1}{3}\\=-\frac{7.4.1}{2.3.3}\\=-\frac{28}{18}\\=-\frac{14}{9}\)
2. \(\frac{-11}{8} . \frac{10}{4}.\frac{12}{4}\\=-\frac{11}{8}.\frac{5}{2}.\frac{3}{1}\\=-\frac{11.5.3}{8.2.1}\\=-\frac{165}{16}\)
3. \(\frac{-4}{-5} . \frac{6}{3}.\left(\frac{-3}{-4}\right)\\=+\frac{4}{5}.\frac{2}{1}.\frac{3}{4}\\=+\frac{4.2.3}{5.1.4}\\=\frac{24}{20}\\=\frac{6}{5}\)
4. \(\frac{2}{-3} . \left(\frac{-12}{-4}\right).\left(\frac{-9}{-8}\right)\\=-\frac{2}{3}.\frac{3}{1}.\frac{9}{8}\\=-\frac{2.3.9}{3.1.8}\\=-\frac{54}{24}\\=-\frac{9}{4}\)
5. \(\frac{12}{5} . \left(\frac{-8}{-3}\right).\left(\frac{8}{-7}\right)\\=-\frac{12.8.8}{5.3.7}\\=-\frac{768}{105}\\=-\frac{256}{35}\)
6. \(\frac{12}{11} . \frac{6}{8}.\left(\frac{-9}{8}\right)\\=-\frac{12}{11}.\frac{3}{4}.\frac{9}{8}\\=-\frac{12.3.9}{11.4.8}\\=-\frac{324}{352}\\=-\frac{81}{88}\)
7. \(\frac{-3}{-13} . \left(\frac{-12}{-11}\right).\left(\frac{2}{-11}\right)\\=-\frac{3.12.2}{13.11.11}\\=-\frac{72}{1573}\)
8. \(\frac{-10}{-17} . \left(\frac{8}{-2}\right).\left(\frac{-10}{6}\right)\\=+\frac{10}{17}.\frac{4}{1}.\frac{5}{3}\\=+\frac{10.4.5}{17.1.3}\\=\frac{200}{51}\)
9. \(\frac{10}{3} . \left(\frac{-4}{11}\right).\left(\frac{-12}{-10}\right)\\=-\frac{10}{3}.\frac{4}{11}.\frac{6}{5}\\=-\frac{10.4.6}{3.11.5}\\=-\frac{240}{165}\\=-\frac{16}{11}\)
10. \(\frac{-6}{-5} . \left(\frac{-9}{2}\right).\left(\frac{10}{-12}\right)\\=+\frac{6}{5}.\frac{9}{2}.\frac{5}{6}\\=+\frac{6.9.5}{5.2.6}\\=\frac{270}{60}\\=\frac{9}{2}\)
11. \(\frac{12}{-11} . \left(\frac{-12}{-8}\right).\frac{8}{11}\\=-\frac{12}{11}.\frac{3}{2}.\frac{8}{11}\\=-\frac{12.3.8}{11.2.11}\\=-\frac{288}{242}\\=-\frac{144}{121}\)
12. \(\frac{2}{-3} . \left(\frac{-6}{-4}\right).\frac{4}{7}\\=-\frac{2}{3}.\frac{3}{2}.\frac{4}{7}\\=-\frac{2.3.4}{3.2.7}\\=-\frac{24}{42}\\=-\frac{4}{7}\)