Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-10}{-9} . \left(\frac{-5}{6}\right).\left(\frac{-8}{6}\right)\\=+\frac{10}{9}.\frac{5}{6}.\frac{4}{3}\\=+\frac{10.5.4}{9.6.3}\\=\frac{200}{162}\\=\frac{100}{81}\)
2. \(\frac{8}{-15} . \left(\frac{-8}{-8}\right).\left(\frac{6}{-4}\right)\\=+\frac{8}{15}.\frac{1}{1}.\frac{3}{2}\\=+\frac{8.1.3}{15.1.2}\\=\frac{24}{30}\\=\frac{4}{5}\)
3. \(\frac{-12}{19} . \frac{12}{10}.\left(\frac{-5}{2}\right)\\=+\frac{12}{19}.\frac{6}{5}.\frac{5}{2}\\=+\frac{12.6.5}{19.5.2}\\=\frac{360}{190}\\=\frac{36}{19}\)
4. \(\frac{2}{11} . \left(\frac{-4}{4}\right).\left(\frac{-9}{-12}\right)\\=-\frac{2}{11}.\frac{1}{1}.\frac{3}{4}\\=-\frac{2.1.3}{11.1.4}\\=-\frac{6}{44}\\=-\frac{3}{22}\)
5. \(\frac{-3}{-2} . \left(\frac{11}{-4}\right).\frac{12}{12}\\=-\frac{3}{2}.\frac{11}{4}.\frac{1}{1}\\=-\frac{3.11.1}{2.4.1}\\=-\frac{33}{8}\)
6. \(\frac{-4}{-11} . \frac{12}{11}.\left(\frac{2}{-2}\right)\\=-\frac{4}{11}.\frac{12}{11}.\frac{1}{1}\\=-\frac{4.12.1}{11.11.1}\\=-\frac{48}{121}\)
7. \(\frac{-2}{19} . \frac{5}{3}.\left(\frac{-12}{4}\right)\\=+\frac{2}{19}.\frac{5}{3}.\frac{3}{1}\\=+\frac{2.5.3}{19.3.1}\\=\frac{30}{57}\\=\frac{10}{19}\)
8. \(\frac{-7}{-10} . \left(\frac{6}{-6}\right).\frac{12}{7}\\=-\frac{7}{10}.\frac{1}{1}.\frac{12}{7}\\=-\frac{7.1.12}{10.1.7}\\=-\frac{84}{70}\\=-\frac{6}{5}\)
9. \(\frac{-9}{-19} . \left(\frac{5}{-5}\right).\left(\frac{-5}{6}\right)\\=+\frac{9}{19}.\frac{1}{1}.\frac{5}{6}\\=+\frac{9.1.5}{19.1.6}\\=\frac{45}{114}\\=\frac{15}{38}\)
10. \(\frac{10}{-3} . \left(\frac{-8}{11}\right).\left(\frac{2}{-3}\right)\\=-\frac{10.8.2}{3.11.3}\\=-\frac{160}{99}\)
11. \(\frac{2}{17} . \left(\frac{-7}{-5}\right).\left(\frac{9}{-10}\right)\\=-\frac{2.7.9}{17.5.10}\\=-\frac{126}{850}\\=-\frac{63}{425}\)
12. \(\frac{-5}{11} . \left(\frac{-10}{9}\right).\left(\frac{-4}{-4}\right)\\=+\frac{5}{11}.\frac{10}{9}.\frac{1}{1}\\=+\frac{5.10.1}{11.9.1}\\=\frac{50}{99}\)