Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{6}{-17} . \left(\frac{-3}{-10}\right).\left(\frac{-2}{2}\right)\)
2. \(\frac{10}{-13} . \left(\frac{2}{-5}\right).\left(\frac{7}{-5}\right)\)
3. \(\frac{11}{10} . \frac{12}{3}.\left(\frac{-5}{-2}\right)\)
4. \(\frac{12}{-11} . \frac{9}{3}.\left(\frac{8}{-8}\right)\)
5. \(\frac{8}{11} . \frac{3}{4}.\left(\frac{11}{-12}\right)\)
6. \(\frac{5}{3} . \left(\frac{10}{-7}\right).\frac{6}{9}\)
7. \(\frac{9}{10} . \left(\frac{-9}{11}\right).\frac{11}{7}\)
8. \(\frac{-10}{7} . \left(\frac{3}{-3}\right).\left(\frac{2}{-10}\right)\)
9. \(\frac{12}{-17} . \left(\frac{-2}{-4}\right).\frac{2}{10}\)
10. \(\frac{9}{-5} . \left(\frac{-5}{11}\right).\frac{2}{7}\)
11. \(\frac{5}{-16} . \left(\frac{-9}{-8}\right).\left(\frac{4}{-12}\right)\)
12. \(\frac{4}{-3} . \left(\frac{-4}{-7}\right).\frac{12}{7}\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{6}{-17} . \left(\frac{-3}{-10}\right).\left(\frac{-2}{2}\right)\\=+\frac{6}{17}.\frac{3}{10}.\frac{1}{1}\\=+\frac{6.3.1}{17.10.1}\\=\frac{18}{170}\\=\frac{9}{85}\)
2. \(\frac{10}{-13} . \left(\frac{2}{-5}\right).\left(\frac{7}{-5}\right)\\=-\frac{10.2.7}{13.5.5}\\=-\frac{140}{325}\\=-\frac{28}{65}\)
3. \(\frac{11}{10} . \frac{12}{3}.\left(\frac{-5}{-2}\right)\\=+\frac{11}{10}.\frac{4}{1}.\frac{5}{2}\\=+\frac{11.4.5}{10.1.2}\\=\frac{220}{20}\\=\frac{11}{1}= 11\)
4. \(\frac{12}{-11} . \frac{9}{3}.\left(\frac{8}{-8}\right)\\=+\frac{12}{11}.\frac{3}{1}.\frac{1}{1}\\=+\frac{12.3.1}{11.1.1}\\=\frac{36}{11}\)
5. \(\frac{8}{11} . \frac{3}{4}.\left(\frac{11}{-12}\right)\\=-\frac{8.3.11}{11.4.12}\\=-\frac{264}{528}\\=-\frac{1}{2}\)
6. \(\frac{5}{3} . \left(\frac{10}{-7}\right).\frac{6}{9}\\=-\frac{5}{3}.\frac{10}{7}.\frac{2}{3}\\=-\frac{5.10.2}{3.7.3}\\=-\frac{100}{63}\)
7. \(\frac{9}{10} . \left(\frac{-9}{11}\right).\frac{11}{7}\\=-\frac{9.9.11}{10.11.7}\\=-\frac{891}{770}\\=-\frac{81}{70}\)
8. \(\frac{-10}{7} . \left(\frac{3}{-3}\right).\left(\frac{2}{-10}\right)\\=-\frac{10}{7}.\frac{1}{1}.\frac{1}{5}\\=-\frac{10.1.1}{7.1.5}\\=-\frac{10}{35}\\=-\frac{2}{7}\)
9. \(\frac{12}{-17} . \left(\frac{-2}{-4}\right).\frac{2}{10}\\=-\frac{12}{17}.\frac{1}{2}.\frac{1}{5}\\=-\frac{12.1.1}{17.2.5}\\=-\frac{12}{170}\\=-\frac{6}{85}\)
10. \(\frac{9}{-5} . \left(\frac{-5}{11}\right).\frac{2}{7}\\=+\frac{9.5.2}{5.11.7}\\=\frac{90}{385}\\=\frac{18}{77}\)
11. \(\frac{5}{-16} . \left(\frac{-9}{-8}\right).\left(\frac{4}{-12}\right)\\=+\frac{5}{16}.\frac{9}{8}.\frac{1}{3}\\=+\frac{5.9.1}{16.8.3}\\=\frac{45}{384}\\=\frac{15}{128}\)
12. \(\frac{4}{-3} . \left(\frac{-4}{-7}\right).\frac{12}{7}\\=-\frac{4.4.12}{3.7.7}\\=-\frac{192}{147}\\=-\frac{64}{49}\)