Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{11}{12} . \left(\frac{6}{-4}\right).\left(\frac{-12}{-6}\right)\)
2. \(\frac{3}{-16} . \left(\frac{-2}{12}\right).\left(\frac{-12}{-12}\right)\)
3. \(\frac{7}{-8} . \frac{2}{9}.\frac{11}{11}\)
4. \(\frac{10}{17} . \left(\frac{9}{-12}\right).\frac{6}{7}\)
5. \(\frac{2}{17} . \left(\frac{-5}{9}\right).\frac{2}{2}\)
6. \(\frac{-6}{-19} . \left(\frac{-5}{-12}\right).\left(\frac{-6}{-10}\right)\)
7. \(\frac{-2}{19} . \left(\frac{-3}{2}\right).\left(\frac{-2}{5}\right)\)
8. \(\frac{-5}{-11} . \left(\frac{-5}{-7}\right).\left(\frac{4}{-10}\right)\)
9. \(\frac{9}{11} . \left(\frac{-9}{6}\right).\left(\frac{-3}{10}\right)\)
10. \(\frac{-4}{5} . \left(\frac{11}{-10}\right).\frac{7}{5}\)
11. \(\frac{-9}{17} . \left(\frac{10}{-9}\right).\left(\frac{11}{-10}\right)\)
12. \(\frac{-12}{5} . \frac{12}{10}.\left(\frac{5}{-12}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{11}{12} . \left(\frac{6}{-4}\right).\left(\frac{-12}{-6}\right)\\=-\frac{11}{12}.\frac{3}{2}.\frac{2}{1}\\=-\frac{11.3.2}{12.2.1}\\=-\frac{66}{24}\\=-\frac{11}{4}\)
2. \(\frac{3}{-16} . \left(\frac{-2}{12}\right).\left(\frac{-12}{-12}\right)\\=+\frac{3}{16}.\frac{1}{6}.\frac{1}{1}\\=+\frac{3.1.1}{16.6.1}\\=\frac{3}{96}\\=\frac{1}{32}\)
3. \(\frac{7}{-8} . \frac{2}{9}.\frac{11}{11}\\=-\frac{7}{8}.\frac{2}{9}.\frac{1}{1}\\=-\frac{7.2.1}{8.9.1}\\=-\frac{14}{72}\\=-\frac{7}{36}\)
4. \(\frac{10}{17} . \left(\frac{9}{-12}\right).\frac{6}{7}\\=-\frac{10}{17}.\frac{3}{4}.\frac{6}{7}\\=-\frac{10.3.6}{17.4.7}\\=-\frac{180}{476}\\=-\frac{45}{119}\)
5. \(\frac{2}{17} . \left(\frac{-5}{9}\right).\frac{2}{2}\\=-\frac{2}{17}.\frac{5}{9}.\frac{1}{1}\\=-\frac{2.5.1}{17.9.1}\\=-\frac{10}{153}\)
6. \(\frac{-6}{-19} . \left(\frac{-5}{-12}\right).\left(\frac{-6}{-10}\right)\\=+\frac{6}{19}.\frac{5}{12}.\frac{3}{5}\\=+\frac{6.5.3}{19.12.5}\\=\frac{90}{1140}\\=\frac{3}{38}\)
7. \(\frac{-2}{19} . \left(\frac{-3}{2}\right).\left(\frac{-2}{5}\right)\\=-\frac{2.3.2}{19.2.5}\\=-\frac{12}{190}\\=-\frac{6}{95}\)
8. \(\frac{-5}{-11} . \left(\frac{-5}{-7}\right).\left(\frac{4}{-10}\right)\\=-\frac{5}{11}.\frac{5}{7}.\frac{2}{5}\\=-\frac{5.5.2}{11.7.5}\\=-\frac{50}{385}\\=-\frac{10}{77}\)
9. \(\frac{9}{11} . \left(\frac{-9}{6}\right).\left(\frac{-3}{10}\right)\\=+\frac{9}{11}.\frac{3}{2}.\frac{3}{10}\\=+\frac{9.3.3}{11.2.10}\\=\frac{81}{220}\)
10. \(\frac{-4}{5} . \left(\frac{11}{-10}\right).\frac{7}{5}\\=+\frac{4.11.7}{5.10.5}\\=\frac{308}{250}\\=\frac{154}{125}\)
11. \(\frac{-9}{17} . \left(\frac{10}{-9}\right).\left(\frac{11}{-10}\right)\\=-\frac{9.10.11}{17.9.10}\\=-\frac{990}{1530}\\=-\frac{11}{17}\)
12. \(\frac{-12}{5} . \frac{12}{10}.\left(\frac{5}{-12}\right)\\=+\frac{12}{5}.\frac{6}{5}.\frac{5}{12}\\=+\frac{12.6.5}{5.5.12}\\=\frac{360}{300}\\=\frac{6}{5}\)