Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-10}{-11} . \left(\frac{4}{-12}\right).\left(\frac{4}{-5}\right)\\=+\frac{10}{11}.\frac{1}{3}.\frac{4}{5}\\=+\frac{10.1.4}{11.3.5}\\=\frac{40}{165}\\=\frac{8}{33}\)
2. \(\frac{6}{7} . \left(\frac{-10}{5}\right).\left(\frac{-3}{-5}\right)\\=-\frac{6}{7}.\frac{2}{1}.\frac{3}{5}\\=-\frac{6.2.3}{7.1.5}\\=-\frac{36}{35}\)
3. \(\frac{8}{9} . \left(\frac{12}{-5}\right).\frac{3}{12}\\=-\frac{8}{9}.\frac{12}{5}.\frac{1}{4}\\=-\frac{8.12.1}{9.5.4}\\=-\frac{96}{180}\\=-\frac{8}{15}\)
4. \(\frac{-10}{-17} . \left(\frac{5}{-7}\right).\left(\frac{12}{-4}\right)\\=+\frac{10}{17}.\frac{5}{7}.\frac{3}{1}\\=+\frac{10.5.3}{17.7.1}\\=\frac{150}{119}\)
5. \(\frac{-9}{-8} . \left(\frac{-11}{-7}\right).\left(\frac{-2}{8}\right)\\=-\frac{9}{8}.\frac{11}{7}.\frac{1}{4}\\=-\frac{9.11.1}{8.7.4}\\=-\frac{99}{224}\)
6. \(\frac{-4}{-3} . \left(\frac{-6}{5}\right).\left(\frac{-2}{-10}\right)\\=-\frac{4}{3}.\frac{6}{5}.\frac{1}{5}\\=-\frac{4.6.1}{3.5.5}\\=-\frac{24}{75}\\=-\frac{8}{25}\)
7. \(\frac{7}{20} . \left(\frac{-6}{7}\right).\left(\frac{-2}{8}\right)\\=+\frac{7}{20}.\frac{6}{7}.\frac{1}{4}\\=+\frac{7.6.1}{20.7.4}\\=\frac{42}{560}\\=\frac{3}{40}\)
8. \(\frac{7}{11} . \frac{4}{7}.\frac{11}{3}\\=+\frac{7.4.11}{11.7.3}\\=\frac{308}{231}\\=\frac{4}{3}\)
9. \(\frac{-4}{9} . \left(\frac{-2}{-10}\right).\left(\frac{-9}{-3}\right)\\=-\frac{4}{9}.\frac{1}{5}.\frac{3}{1}\\=-\frac{4.1.3}{9.5.1}\\=-\frac{12}{45}\\=-\frac{4}{15}\)
10. \(\frac{10}{3} . \left(\frac{-10}{-8}\right).\left(\frac{11}{-8}\right)\\=-\frac{10}{3}.\frac{5}{4}.\frac{11}{8}\\=-\frac{10.5.11}{3.4.8}\\=-\frac{550}{96}\\=-\frac{275}{48}\)
11. \(\frac{-4}{11} . \frac{6}{4}.\left(\frac{-9}{6}\right)\\=+\frac{4}{11}.\frac{3}{2}.\frac{3}{2}\\=+\frac{4.3.3}{11.2.2}\\=\frac{36}{44}\\=\frac{9}{11}\)
12. \(\frac{11}{6} . \left(\frac{-3}{12}\right).\frac{11}{7}\\=-\frac{11}{6}.\frac{1}{4}.\frac{11}{7}\\=-\frac{11.1.11}{6.4.7}\\=-\frac{121}{168}\)