Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{12}{-11} . \left(\frac{-3}{-3}\right).\left(\frac{-2}{5}\right)\\=+\frac{12}{11}.\frac{1}{1}.\frac{2}{5}\\=+\frac{12.1.2}{11.1.5}\\=\frac{24}{55}\)
2. \(\frac{-6}{-19} . \left(\frac{5}{-10}\right).\left(\frac{-4}{-9}\right)\\=-\frac{6}{19}.\frac{1}{2}.\frac{4}{9}\\=-\frac{6.1.4}{19.2.9}\\=-\frac{24}{342}\\=-\frac{4}{57}\)
3. \(\frac{-6}{7} . \left(\frac{-10}{-7}\right).\left(\frac{-4}{-5}\right)\\=-\frac{6.10.4}{7.7.5}\\=-\frac{240}{245}\\=-\frac{48}{49}\)
4. \(\frac{-4}{-7} . \left(\frac{-5}{-4}\right).\left(\frac{-5}{12}\right)\\=-\frac{4.5.5}{7.4.12}\\=-\frac{100}{336}\\=-\frac{25}{84}\)
5. \(\frac{-4}{-7} . \left(\frac{-6}{-3}\right).\left(\frac{11}{-4}\right)\\=-\frac{4}{7}.\frac{2}{1}.\frac{11}{4}\\=-\frac{4.2.11}{7.1.4}\\=-\frac{88}{28}\\=-\frac{22}{7}\)
6. \(\frac{4}{5} . \left(\frac{6}{-12}\right).\left(\frac{4}{-8}\right)\\=+\frac{4}{5}.\frac{1}{2}.\frac{1}{2}\\=+\frac{4.1.1}{5.2.2}\\=\frac{4}{20}\\=\frac{1}{5}\)
7. \(\frac{-12}{-13} . \left(\frac{-2}{-9}\right).\left(\frac{-2}{-5}\right)\\=+\frac{12.2.2}{13.9.5}\\=\frac{48}{585}\\=\frac{16}{195}\)
8. \(\frac{5}{-9} . \frac{10}{6}.\frac{7}{5}\\=-\frac{5}{9}.\frac{5}{3}.\frac{7}{5}\\=-\frac{5.5.7}{9.3.5}\\=-\frac{175}{135}\\=-\frac{35}{27}\)
9. \(\frac{-7}{-13} . \frac{2}{2}.\left(\frac{-12}{-2}\right)\\=+\frac{7}{13}.\frac{1}{1}.\frac{6}{1}\\=+\frac{7.1.6}{13.1.1}\\=\frac{42}{13}\)
10. \(\frac{7}{-9} . \left(\frac{-2}{-3}\right).\left(\frac{-3}{7}\right)\\=+\frac{7.2.3}{9.3.7}\\=\frac{42}{189}\\=\frac{2}{9}\)
11. \(\frac{6}{-19} . \left(\frac{-12}{7}\right).\frac{5}{7}\\=+\frac{6.12.5}{19.7.7}\\=\frac{360}{931}\)
12. \(\frac{-10}{-9} . \left(\frac{-9}{9}\right).\left(\frac{-12}{-12}\right)\\=-\frac{10}{9}.\frac{1}{1}.\frac{1}{1}\\=-\frac{10.1.1}{9.1.1}\\=-\frac{10}{9}\)