Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{11}{-10} . \left(\frac{-11}{-3}\right).\left(\frac{-11}{-11}\right)\)
2. \(\frac{-11}{-8} . \frac{4}{3}.\left(\frac{4}{-12}\right)\)
3. \(\frac{-11}{-3} . \left(\frac{-6}{7}\right).\left(\frac{2}{-7}\right)\)
4. \(\frac{10}{7} . \left(\frac{-7}{4}\right).\left(\frac{10}{-2}\right)\)
5. \(\frac{2}{7} . \left(\frac{-7}{-11}\right).\left(\frac{-8}{-2}\right)\)
6. \(\frac{-3}{-17} . \left(\frac{-2}{-2}\right).\left(\frac{-8}{-10}\right)\)
7. \(\frac{-9}{-20} . \left(\frac{5}{-4}\right).\left(\frac{-7}{12}\right)\)
8. \(\frac{-10}{-3} . \frac{6}{8}.\frac{2}{8}\)
9. \(\frac{5}{14} . \frac{4}{12}.\left(\frac{3}{-9}\right)\)
10. \(\frac{-4}{-7} . \frac{11}{9}.\left(\frac{11}{-8}\right)\)
11. \(\frac{11}{-16} . \left(\frac{-3}{-7}\right).\left(\frac{6}{-11}\right)\)
12. \(\frac{3}{-20} . \left(\frac{-2}{-5}\right).\left(\frac{6}{-4}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{11}{-10} . \left(\frac{-11}{-3}\right).\left(\frac{-11}{-11}\right)\\=-\frac{11}{10}.\frac{11}{3}.\frac{1}{1}\\=-\frac{11.11.1}{10.3.1}\\=-\frac{121}{30}\)
2. \(\frac{-11}{-8} . \frac{4}{3}.\left(\frac{4}{-12}\right)\\=-\frac{11}{8}.\frac{4}{3}.\frac{1}{3}\\=-\frac{11.4.1}{8.3.3}\\=-\frac{44}{72}\\=-\frac{11}{18}\)
3. \(\frac{-11}{-3} . \left(\frac{-6}{7}\right).\left(\frac{2}{-7}\right)\\=+\frac{11.6.2}{3.7.7}\\=\frac{132}{147}\\=\frac{44}{49}\)
4. \(\frac{10}{7} . \left(\frac{-7}{4}\right).\left(\frac{10}{-2}\right)\\=+\frac{10}{7}.\frac{7}{4}.\frac{5}{1}\\=+\frac{10.7.5}{7.4.1}\\=\frac{350}{28}\\=\frac{25}{2}\)
5. \(\frac{2}{7} . \left(\frac{-7}{-11}\right).\left(\frac{-8}{-2}\right)\\=+\frac{2}{7}.\frac{7}{11}.\frac{4}{1}\\=+\frac{2.7.4}{7.11.1}\\=\frac{56}{77}\\=\frac{8}{11}\)
6. \(\frac{-3}{-17} . \left(\frac{-2}{-2}\right).\left(\frac{-8}{-10}\right)\\=+\frac{3}{17}.\frac{1}{1}.\frac{4}{5}\\=+\frac{3.1.4}{17.1.5}\\=\frac{12}{85}\)
7. \(\frac{-9}{-20} . \left(\frac{5}{-4}\right).\left(\frac{-7}{12}\right)\\=+\frac{9.5.7}{20.4.12}\\=\frac{315}{960}\\=\frac{21}{64}\)
8. \(\frac{-10}{-3} . \frac{6}{8}.\frac{2}{8}\\=+\frac{10}{3}.\frac{3}{4}.\frac{1}{4}\\=+\frac{10.3.1}{3.4.4}\\=\frac{30}{48}\\=\frac{5}{8}\)
9. \(\frac{5}{14} . \frac{4}{12}.\left(\frac{3}{-9}\right)\\=-\frac{5}{14}.\frac{1}{3}.\frac{1}{3}\\=-\frac{5.1.1}{14.3.3}\\=-\frac{5}{126}\)
10. \(\frac{-4}{-7} . \frac{11}{9}.\left(\frac{11}{-8}\right)\\=-\frac{4.11.11}{7.9.8}\\=-\frac{484}{504}\\=-\frac{121}{126}\)
11. \(\frac{11}{-16} . \left(\frac{-3}{-7}\right).\left(\frac{6}{-11}\right)\\=+\frac{11.3.6}{16.7.11}\\=\frac{198}{1232}\\=\frac{9}{56}\)
12. \(\frac{3}{-20} . \left(\frac{-2}{-5}\right).\left(\frac{6}{-4}\right)\\=+\frac{3}{20}.\frac{2}{5}.\frac{3}{2}\\=+\frac{3.2.3}{20.5.2}\\=\frac{18}{200}\\=\frac{9}{100}\)