Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-12}{-13} . \left(\frac{11}{-10}\right).\frac{7}{12}\)
2. \(\frac{7}{-12} . \left(\frac{3}{-7}\right).\frac{11}{7}\)
3. \(\frac{-6}{7} . \left(\frac{-7}{11}\right).\left(\frac{-5}{-8}\right)\)
4. \(\frac{3}{-19} . \left(\frac{-11}{-12}\right).\left(\frac{4}{-5}\right)\)
5. \(\frac{2}{17} . \left(\frac{-4}{-6}\right).\left(\frac{-12}{7}\right)\)
6. \(\frac{-7}{-9} . \left(\frac{-4}{6}\right).\frac{8}{7}\)
7. \(\frac{3}{14} . \left(\frac{-7}{-12}\right).\left(\frac{-8}{-12}\right)\)
8. \(\frac{4}{15} . \frac{6}{11}.\left(\frac{-2}{6}\right)\)
9. \(\frac{4}{-11} . \left(\frac{-5}{-10}\right).\frac{10}{3}\)
10. \(\frac{-12}{-5} . \frac{8}{3}.\frac{9}{4}\)
11. \(\frac{-8}{9} . \left(\frac{4}{-11}\right).\frac{9}{2}\)
12. \(\frac{5}{18} . \frac{12}{5}.\left(\frac{-6}{-12}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-12}{-13} . \left(\frac{11}{-10}\right).\frac{7}{12}\\=-\frac{12.11.7}{13.10.12}\\=-\frac{924}{1560}\\=-\frac{77}{130}\)
2. \(\frac{7}{-12} . \left(\frac{3}{-7}\right).\frac{11}{7}\\=+\frac{7.3.11}{12.7.7}\\=\frac{231}{588}\\=\frac{11}{28}\)
3. \(\frac{-6}{7} . \left(\frac{-7}{11}\right).\left(\frac{-5}{-8}\right)\\=+\frac{6.7.5}{7.11.8}\\=\frac{210}{616}\\=\frac{15}{44}\)
4. \(\frac{3}{-19} . \left(\frac{-11}{-12}\right).\left(\frac{4}{-5}\right)\\=+\frac{3.11.4}{19.12.5}\\=\frac{132}{1140}\\=\frac{11}{95}\)
5. \(\frac{2}{17} . \left(\frac{-4}{-6}\right).\left(\frac{-12}{7}\right)\\=-\frac{2}{17}.\frac{2}{3}.\frac{12}{7}\\=-\frac{2.2.12}{17.3.7}\\=-\frac{48}{357}\\=-\frac{16}{119}\)
6. \(\frac{-7}{-9} . \left(\frac{-4}{6}\right).\frac{8}{7}\\=-\frac{7}{9}.\frac{2}{3}.\frac{8}{7}\\=-\frac{7.2.8}{9.3.7}\\=-\frac{112}{189}\\=-\frac{16}{27}\)
7. \(\frac{3}{14} . \left(\frac{-7}{-12}\right).\left(\frac{-8}{-12}\right)\\=+\frac{3}{14}.\frac{7}{12}.\frac{2}{3}\\=+\frac{3.7.2}{14.12.3}\\=\frac{42}{504}\\=\frac{1}{12}\)
8. \(\frac{4}{15} . \frac{6}{11}.\left(\frac{-2}{6}\right)\\=-\frac{4}{15}.\frac{6}{11}.\frac{1}{3}\\=-\frac{4.6.1}{15.11.3}\\=-\frac{24}{495}\\=-\frac{8}{165}\)
9. \(\frac{4}{-11} . \left(\frac{-5}{-10}\right).\frac{10}{3}\\=-\frac{4}{11}.\frac{1}{2}.\frac{10}{3}\\=-\frac{4.1.10}{11.2.3}\\=-\frac{40}{66}\\=-\frac{20}{33}\)
10. \(\frac{-12}{-5} . \frac{8}{3}.\frac{9}{4}\\=+\frac{12.8.9}{5.3.4}\\=\frac{864}{60}\\=\frac{72}{5}\)
11. \(\frac{-8}{9} . \left(\frac{4}{-11}\right).\frac{9}{2}\\=+\frac{8.4.9}{9.11.2}\\=\frac{288}{198}\\=\frac{16}{11}\)
12. \(\frac{5}{18} . \frac{12}{5}.\left(\frac{-6}{-12}\right)\\=+\frac{5}{18}.\frac{12}{5}.\frac{1}{2}\\=+\frac{5.12.1}{18.5.2}\\=\frac{60}{180}\\=\frac{1}{3}\)