Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-10}{-7} . \frac{5}{8}.\left(\frac{-12}{6}\right)\)
2. \(\frac{10}{13} . \left(\frac{-8}{-5}\right).\left(\frac{5}{-9}\right)\)
3. \(\frac{8}{3} . \left(\frac{-6}{-5}\right).\frac{9}{9}\)
4. \(\frac{4}{17} . \left(\frac{-8}{9}\right).\left(\frac{-10}{8}\right)\)
5. \(\frac{-9}{11} . \frac{4}{2}.\left(\frac{-12}{5}\right)\)
6. \(\frac{-9}{-7} . \frac{10}{6}.\frac{9}{12}\)
7. \(\frac{8}{11} . \frac{5}{3}.\left(\frac{-3}{-6}\right)\)
8. \(\frac{-3}{13} . \left(\frac{-4}{11}\right).\left(\frac{-12}{8}\right)\)
9. \(\frac{6}{11} . \frac{8}{6}.\left(\frac{-5}{-2}\right)\)
10. \(\frac{8}{9} . \frac{4}{9}.\left(\frac{-11}{-8}\right)\)
11. \(\frac{6}{-17} . \frac{6}{9}.\left(\frac{-11}{-11}\right)\)
12. \(\frac{11}{-18} . \frac{9}{12}.\frac{4}{4}\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-10}{-7} . \frac{5}{8}.\left(\frac{-12}{6}\right)\\=-\frac{10}{7}.\frac{5}{8}.\frac{2}{1}\\=-\frac{10.5.2}{7.8.1}\\=-\frac{100}{56}\\=-\frac{25}{14}\)
2. \(\frac{10}{13} . \left(\frac{-8}{-5}\right).\left(\frac{5}{-9}\right)\\=-\frac{10.8.5}{13.5.9}\\=-\frac{400}{585}\\=-\frac{80}{117}\)
3. \(\frac{8}{3} . \left(\frac{-6}{-5}\right).\frac{9}{9}\\=+\frac{8}{3}.\frac{6}{5}.\frac{1}{1}\\=+\frac{8.6.1}{3.5.1}\\=\frac{48}{15}\\=\frac{16}{5}\)
4. \(\frac{4}{17} . \left(\frac{-8}{9}\right).\left(\frac{-10}{8}\right)\\=+\frac{4}{17}.\frac{8}{9}.\frac{5}{4}\\=+\frac{4.8.5}{17.9.4}\\=\frac{160}{612}\\=\frac{40}{153}\)
5. \(\frac{-9}{11} . \frac{4}{2}.\left(\frac{-12}{5}\right)\\=+\frac{9}{11}.\frac{2}{1}.\frac{12}{5}\\=+\frac{9.2.12}{11.1.5}\\=\frac{216}{55}\)
6. \(\frac{-9}{-7} . \frac{10}{6}.\frac{9}{12}\\=+\frac{9}{7}.\frac{5}{3}.\frac{3}{4}\\=+\frac{9.5.3}{7.3.4}\\=\frac{135}{84}\\=\frac{45}{28}\)
7. \(\frac{8}{11} . \frac{5}{3}.\left(\frac{-3}{-6}\right)\\=+\frac{8}{11}.\frac{5}{3}.\frac{1}{2}\\=+\frac{8.5.1}{11.3.2}\\=\frac{40}{66}\\=\frac{20}{33}\)
8. \(\frac{-3}{13} . \left(\frac{-4}{11}\right).\left(\frac{-12}{8}\right)\\=-\frac{3}{13}.\frac{4}{11}.\frac{3}{2}\\=-\frac{3.4.3}{13.11.2}\\=-\frac{36}{286}\\=-\frac{18}{143}\)
9. \(\frac{6}{11} . \frac{8}{6}.\left(\frac{-5}{-2}\right)\\=+\frac{6}{11}.\frac{4}{3}.\frac{5}{2}\\=+\frac{6.4.5}{11.3.2}\\=\frac{120}{66}\\=\frac{20}{11}\)
10. \(\frac{8}{9} . \frac{4}{9}.\left(\frac{-11}{-8}\right)\\=+\frac{8.4.11}{9.9.8}\\=\frac{352}{648}\\=\frac{44}{81}\)
11. \(\frac{6}{-17} . \frac{6}{9}.\left(\frac{-11}{-11}\right)\\=-\frac{6}{17}.\frac{2}{3}.\frac{1}{1}\\=-\frac{6.2.1}{17.3.1}\\=-\frac{12}{51}\\=-\frac{4}{17}\)
12. \(\frac{11}{-18} . \frac{9}{12}.\frac{4}{4}\\=-\frac{11}{18}.\frac{3}{4}.\frac{1}{1}\\=-\frac{11.3.1}{18.4.1}\\=-\frac{33}{72}\\=-\frac{11}{24}\)