Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-8}{-3} . \frac{11}{10}.\left(\frac{6}{-7}\right)\)
2. \(\frac{-7}{-13} . \left(\frac{3}{-8}\right).\left(\frac{-4}{5}\right)\)
3. \(\frac{7}{-17} . \frac{5}{5}.\left(\frac{-7}{-7}\right)\)
4. \(\frac{5}{-11} . \left(\frac{-10}{-4}\right).\left(\frac{-10}{-3}\right)\)
5. \(\frac{7}{8} . \left(\frac{-2}{-6}\right).\left(\frac{-12}{7}\right)\)
6. \(\frac{-8}{3} . \frac{4}{5}.\frac{7}{12}\)
7. \(\frac{9}{2} . \left(\frac{-10}{9}\right).\left(\frac{-5}{7}\right)\)
8. \(\frac{7}{-13} . \left(\frac{6}{-4}\right).\left(\frac{3}{-7}\right)\)
9. \(\frac{-5}{12} . \left(\frac{-4}{-4}\right).\left(\frac{2}{-12}\right)\)
10. \(\frac{-11}{7} . \left(\frac{-8}{-5}\right).\left(\frac{-5}{3}\right)\)
11. \(\frac{7}{-15} . \left(\frac{10}{-9}\right).\left(\frac{-6}{-12}\right)\)
12. \(\frac{8}{17} . \left(\frac{4}{-10}\right).\frac{2}{2}\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-8}{-3} . \frac{11}{10}.\left(\frac{6}{-7}\right)\\=-\frac{8.11.6}{3.10.7}\\=-\frac{528}{210}\\=-\frac{88}{35}\)
2. \(\frac{-7}{-13} . \left(\frac{3}{-8}\right).\left(\frac{-4}{5}\right)\\=+\frac{7.3.4}{13.8.5}\\=\frac{84}{520}\\=\frac{21}{130}\)
3. \(\frac{7}{-17} . \frac{5}{5}.\left(\frac{-7}{-7}\right)\\=-\frac{7}{17}.\frac{1}{1}.\frac{1}{1}\\=-\frac{7.1.1}{17.1.1}\\=-\frac{7}{17}\)
4. \(\frac{5}{-11} . \left(\frac{-10}{-4}\right).\left(\frac{-10}{-3}\right)\\=-\frac{5}{11}.\frac{5}{2}.\frac{10}{3}\\=-\frac{5.5.10}{11.2.3}\\=-\frac{250}{66}\\=-\frac{125}{33}\)
5. \(\frac{7}{8} . \left(\frac{-2}{-6}\right).\left(\frac{-12}{7}\right)\\=-\frac{7}{8}.\frac{1}{3}.\frac{12}{7}\\=-\frac{7.1.12}{8.3.7}\\=-\frac{84}{168}\\=-\frac{1}{2}\)
6. \(\frac{-8}{3} . \frac{4}{5}.\frac{7}{12}\\=-\frac{8.4.7}{3.5.12}\\=-\frac{224}{180}\\=-\frac{56}{45}\)
7. \(\frac{9}{2} . \left(\frac{-10}{9}\right).\left(\frac{-5}{7}\right)\\=+\frac{9.10.5}{2.9.7}\\=\frac{450}{126}\\=\frac{25}{7}\)
8. \(\frac{7}{-13} . \left(\frac{6}{-4}\right).\left(\frac{3}{-7}\right)\\=-\frac{7}{13}.\frac{3}{2}.\frac{3}{7}\\=-\frac{7.3.3}{13.2.7}\\=-\frac{63}{182}\\=-\frac{9}{26}\)
9. \(\frac{-5}{12} . \left(\frac{-4}{-4}\right).\left(\frac{2}{-12}\right)\\=+\frac{5}{12}.\frac{1}{1}.\frac{1}{6}\\=+\frac{5.1.1}{12.1.6}\\=\frac{5}{72}\)
10. \(\frac{-11}{7} . \left(\frac{-8}{-5}\right).\left(\frac{-5}{3}\right)\\=+\frac{11.8.5}{7.5.3}\\=\frac{440}{105}\\=\frac{88}{21}\)
11. \(\frac{7}{-15} . \left(\frac{10}{-9}\right).\left(\frac{-6}{-12}\right)\\=+\frac{7}{15}.\frac{10}{9}.\frac{1}{2}\\=+\frac{7.10.1}{15.9.2}\\=\frac{70}{270}\\=\frac{7}{27}\)
12. \(\frac{8}{17} . \left(\frac{4}{-10}\right).\frac{2}{2}\\=-\frac{8}{17}.\frac{2}{5}.\frac{1}{1}\\=-\frac{8.2.1}{17.5.1}\\=-\frac{16}{85}\)