Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{2}{13} . \left(\frac{9}{-11}\right).\left(\frac{-3}{4}\right)\\=+\frac{2.9.3}{13.11.4}\\=\frac{54}{572}\\=\frac{27}{286}\)
2. \(\frac{9}{10} . \left(\frac{5}{-4}\right).\left(\frac{-12}{-5}\right)\\=-\frac{9.5.12}{10.4.5}\\=-\frac{540}{200}\\=-\frac{27}{10}\)
3. \(\frac{11}{-3} . \frac{3}{11}.\left(\frac{-12}{12}\right)\\=+\frac{11}{3}.\frac{3}{11}.\frac{1}{1}\\=+\frac{11.3.1}{3.11.1}\\=\frac{33}{33}\\=\frac{1}{1}= 1\)
4. \(\frac{-3}{-16} . \left(\frac{-6}{-7}\right).\left(\frac{-10}{-8}\right)\\=+\frac{3}{16}.\frac{6}{7}.\frac{5}{4}\\=+\frac{3.6.5}{16.7.4}\\=\frac{90}{448}\\=\frac{45}{224}\)
5. \(\frac{-5}{6} . \left(\frac{-12}{-6}\right).\left(\frac{-11}{4}\right)\\=+\frac{5}{6}.\frac{2}{1}.\frac{11}{4}\\=+\frac{5.2.11}{6.1.4}\\=\frac{110}{24}\\=\frac{55}{12}\)
6. \(\frac{2}{-11} . \left(\frac{-6}{4}\right).\frac{5}{5}\\=+\frac{2}{11}.\frac{3}{2}.\frac{1}{1}\\=+\frac{2.3.1}{11.2.1}\\=\frac{6}{22}\\=\frac{3}{11}\)
7. \(\frac{-2}{-9} . \left(\frac{2}{-11}\right).\left(\frac{11}{-6}\right)\\=+\frac{2.2.11}{9.11.6}\\=\frac{44}{594}\\=\frac{2}{27}\)
8. \(\frac{4}{-5} . \left(\frac{-5}{12}\right).\left(\frac{11}{-12}\right)\\=-\frac{4.5.11}{5.12.12}\\=-\frac{220}{720}\\=-\frac{11}{36}\)
9. \(\frac{4}{3} . \left(\frac{-2}{12}\right).\frac{11}{8}\\=-\frac{4}{3}.\frac{1}{6}.\frac{11}{8}\\=-\frac{4.1.11}{3.6.8}\\=-\frac{44}{144}\\=-\frac{11}{36}\)
10. \(\frac{7}{-9} . \left(\frac{-8}{4}\right).\left(\frac{6}{-7}\right)\\=-\frac{7}{9}.\frac{2}{1}.\frac{6}{7}\\=-\frac{7.2.6}{9.1.7}\\=-\frac{84}{63}\\=-\frac{4}{3}\)
11. \(\frac{-3}{11} . \left(\frac{-7}{12}\right).\left(\frac{-10}{12}\right)\\=-\frac{3}{11}.\frac{7}{12}.\frac{5}{6}\\=-\frac{3.7.5}{11.12.6}\\=-\frac{105}{792}\\=-\frac{35}{264}\)
12. \(\frac{6}{19} . \left(\frac{-10}{-9}\right).\left(\frac{2}{-6}\right)\\=-\frac{6}{19}.\frac{10}{9}.\frac{1}{3}\\=-\frac{6.10.1}{19.9.3}\\=-\frac{60}{513}\\=-\frac{20}{171}\)