Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-11}{7} . \left(\frac{-6}{7}\right).\left(\frac{-9}{12}\right)\\=-\frac{11}{7}.\frac{6}{7}.\frac{3}{4}\\=-\frac{11.6.3}{7.7.4}\\=-\frac{198}{196}\\=-\frac{99}{98}\)
2. \(\frac{6}{5} . \left(\frac{2}{-2}\right).\left(\frac{-10}{-3}\right)\\=-\frac{6}{5}.\frac{1}{1}.\frac{10}{3}\\=-\frac{6.1.10}{5.1.3}\\=-\frac{60}{15}\\=-\frac{4}{1}= 4\)
3. \(\frac{-2}{11} . \left(\frac{-5}{11}\right).\frac{7}{7}\\=+\frac{2}{11}.\frac{5}{11}.\frac{1}{1}\\=+\frac{2.5.1}{11.11.1}\\=\frac{10}{121}\)
4. \(\frac{2}{19} . \frac{2}{6}.\left(\frac{12}{-5}\right)\\=-\frac{2}{19}.\frac{1}{3}.\frac{12}{5}\\=-\frac{2.1.12}{19.3.5}\\=-\frac{24}{285}\\=-\frac{8}{95}\)
5. \(\frac{11}{2} . \left(\frac{12}{-11}\right).\left(\frac{-2}{11}\right)\\=+\frac{11.12.2}{2.11.11}\\=\frac{264}{242}\\=\frac{12}{11}\)
6. \(\frac{-3}{-13} . \left(\frac{12}{-11}\right).\frac{11}{2}\\=-\frac{3.12.11}{13.11.2}\\=-\frac{396}{286}\\=-\frac{18}{13}\)
7. \(\frac{9}{13} . \frac{9}{9}.\left(\frac{4}{-7}\right)\\=-\frac{9}{13}.\frac{1}{1}.\frac{4}{7}\\=-\frac{9.1.4}{13.1.7}\\=-\frac{36}{91}\)
8. \(\frac{8}{15} . \left(\frac{3}{-9}\right).\left(\frac{-2}{-9}\right)\\=-\frac{8}{15}.\frac{1}{3}.\frac{2}{9}\\=-\frac{8.1.2}{15.3.9}\\=-\frac{16}{405}\)
9. \(\frac{4}{13} . \left(\frac{-2}{-9}\right).\frac{2}{7}\\=+\frac{4.2.2}{13.9.7}\\=\frac{16}{819}\)
10. \(\frac{10}{-7} . \left(\frac{7}{-5}\right).\left(\frac{-10}{-9}\right)\\=+\frac{10.7.10}{7.5.9}\\=\frac{700}{315}\\=\frac{20}{9}\)
11. \(\frac{7}{-8} . \frac{11}{2}.\frac{9}{2}\\=-\frac{7.11.9}{8.2.2}\\=-\frac{693}{32}\)
12. \(\frac{2}{5} . \left(\frac{-2}{11}\right).\left(\frac{-11}{-8}\right)\\=-\frac{2.2.11}{5.11.8}\\=-\frac{44}{440}\\=-\frac{1}{10}\)