Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-4}{-9} . \left(\frac{9}{-7}\right).\left(\frac{-9}{-10}\right)\)
2. \(\frac{-3}{-4} . \frac{9}{11}.\left(\frac{3}{-11}\right)\)
3. \(\frac{6}{-7} . \left(\frac{-3}{-9}\right).\left(\frac{-8}{-6}\right)\)
4. \(\frac{9}{13} . \left(\frac{-9}{9}\right).\frac{2}{7}\)
5. \(\frac{10}{19} . \frac{8}{12}.\left(\frac{-12}{-9}\right)\)
6. \(\frac{-11}{-12} . \left(\frac{-5}{-6}\right).\left(\frac{-6}{-12}\right)\)
7. \(\frac{-4}{5} . \frac{12}{8}.\left(\frac{12}{-5}\right)\)
8. \(\frac{4}{-5} . \left(\frac{-2}{-6}\right).\frac{2}{2}\)
9. \(\frac{10}{-17} . \left(\frac{-2}{-10}\right).\frac{3}{10}\)
10. \(\frac{-2}{3} . \left(\frac{5}{-6}\right).\left(\frac{-5}{-11}\right)\)
11. \(\frac{7}{-12} . \left(\frac{-6}{-7}\right).\left(\frac{-11}{-9}\right)\)
12. \(\frac{11}{-13} . \frac{7}{5}.\left(\frac{2}{-7}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-4}{-9} . \left(\frac{9}{-7}\right).\left(\frac{-9}{-10}\right)\\=-\frac{4.9.9}{9.7.10}\\=-\frac{324}{630}\\=-\frac{18}{35}\)
2. \(\frac{-3}{-4} . \frac{9}{11}.\left(\frac{3}{-11}\right)\\=-\frac{3.9.3}{4.11.11}\\=-\frac{81}{484}\)
3. \(\frac{6}{-7} . \left(\frac{-3}{-9}\right).\left(\frac{-8}{-6}\right)\\=-\frac{6}{7}.\frac{1}{3}.\frac{4}{3}\\=-\frac{6.1.4}{7.3.3}\\=-\frac{24}{63}\\=-\frac{8}{21}\)
4. \(\frac{9}{13} . \left(\frac{-9}{9}\right).\frac{2}{7}\\=-\frac{9}{13}.\frac{1}{1}.\frac{2}{7}\\=-\frac{9.1.2}{13.1.7}\\=-\frac{18}{91}\)
5. \(\frac{10}{19} . \frac{8}{12}.\left(\frac{-12}{-9}\right)\\=+\frac{10}{19}.\frac{2}{3}.\frac{4}{3}\\=+\frac{10.2.4}{19.3.3}\\=\frac{80}{171}\)
6. \(\frac{-11}{-12} . \left(\frac{-5}{-6}\right).\left(\frac{-6}{-12}\right)\\=+\frac{11}{12}.\frac{5}{6}.\frac{1}{2}\\=+\frac{11.5.1}{12.6.2}\\=\frac{55}{144}\)
7. \(\frac{-4}{5} . \frac{12}{8}.\left(\frac{12}{-5}\right)\\=+\frac{4}{5}.\frac{3}{2}.\frac{12}{5}\\=+\frac{4.3.12}{5.2.5}\\=\frac{144}{50}\\=\frac{72}{25}\)
8. \(\frac{4}{-5} . \left(\frac{-2}{-6}\right).\frac{2}{2}\\=-\frac{4}{5}.\frac{1}{3}.\frac{1}{1}\\=-\frac{4.1.1}{5.3.1}\\=-\frac{4}{15}\)
9. \(\frac{10}{-17} . \left(\frac{-2}{-10}\right).\frac{3}{10}\\=-\frac{10}{17}.\frac{1}{5}.\frac{3}{10}\\=-\frac{10.1.3}{17.5.10}\\=-\frac{30}{850}\\=-\frac{3}{85}\)
10. \(\frac{-2}{3} . \left(\frac{5}{-6}\right).\left(\frac{-5}{-11}\right)\\=+\frac{2.5.5}{3.6.11}\\=\frac{50}{198}\\=\frac{25}{99}\)
11. \(\frac{7}{-12} . \left(\frac{-6}{-7}\right).\left(\frac{-11}{-9}\right)\\=-\frac{7.6.11}{12.7.9}\\=-\frac{462}{756}\\=-\frac{11}{18}\)
12. \(\frac{11}{-13} . \frac{7}{5}.\left(\frac{2}{-7}\right)\\=+\frac{11.7.2}{13.5.7}\\=\frac{154}{455}\\=\frac{22}{65}\)