Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{2}{9} . \frac{4}{3}.\left(\frac{-11}{8}\right)\\=-\frac{2.4.11}{9.3.8}\\=-\frac{88}{216}\\=-\frac{11}{27}\)
2. \(\frac{-7}{-17} . \frac{7}{12}.\left(\frac{-8}{-11}\right)\\=+\frac{7.7.8}{17.12.11}\\=\frac{392}{2244}\\=\frac{98}{561}\)
3. \(\frac{-12}{-19} . \left(\frac{-2}{4}\right).\left(\frac{11}{-8}\right)\\=+\frac{12}{19}.\frac{1}{2}.\frac{11}{8}\\=+\frac{12.1.11}{19.2.8}\\=\frac{132}{304}\\=\frac{33}{76}\)
4. \(\frac{-5}{12} . \left(\frac{8}{-11}\right).\left(\frac{-9}{7}\right)\\=-\frac{5.8.9}{12.11.7}\\=-\frac{360}{924}\\=-\frac{30}{77}\)
5. \(\frac{-9}{14} . \left(\frac{-5}{-12}\right).\left(\frac{-6}{12}\right)\\=+\frac{9}{14}.\frac{5}{12}.\frac{1}{2}\\=+\frac{9.5.1}{14.12.2}\\=\frac{45}{336}\\=\frac{15}{112}\)
6. \(\frac{5}{11} . \left(\frac{-10}{-9}\right).\left(\frac{12}{-2}\right)\\=-\frac{5}{11}.\frac{10}{9}.\frac{6}{1}\\=-\frac{5.10.6}{11.9.1}\\=-\frac{300}{99}\\=-\frac{100}{33}\)
7. \(\frac{-8}{-5} . \frac{11}{5}.\frac{5}{12}\\=+\frac{8.11.5}{5.5.12}\\=\frac{440}{300}\\=\frac{22}{15}\)
8. \(\frac{10}{19} . \left(\frac{7}{-9}\right).\left(\frac{-5}{11}\right)\\=+\frac{10.7.5}{19.9.11}\\=\frac{350}{1881}\)
9. \(\frac{7}{-11} . \frac{6}{4}.\left(\frac{9}{-11}\right)\\=+\frac{7}{11}.\frac{3}{2}.\frac{9}{11}\\=+\frac{7.3.9}{11.2.11}\\=\frac{189}{242}\)
10. \(\frac{10}{11} . \frac{11}{3}.\left(\frac{-10}{10}\right)\\=-\frac{10}{11}.\frac{11}{3}.\frac{1}{1}\\=-\frac{10.11.1}{11.3.1}\\=-\frac{110}{33}\\=-\frac{10}{3}\)
11. \(\frac{6}{17} . \left(\frac{-9}{-4}\right).\left(\frac{3}{-5}\right)\\=-\frac{6.9.3}{17.4.5}\\=-\frac{162}{340}\\=-\frac{81}{170}\)
12. \(\frac{8}{-5} . \left(\frac{-2}{5}\right).\left(\frac{5}{-2}\right)\\=-\frac{8.2.5}{5.5.2}\\=-\frac{80}{50}\\=-\frac{8}{5}\)