Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-5}{14} . \left(\frac{-10}{-8}\right).\frac{11}{2}\)
2. \(\frac{11}{-2} . \left(\frac{-3}{-3}\right).\frac{11}{6}\)
3. \(\frac{6}{-5} . \left(\frac{12}{-10}\right).\frac{2}{4}\)
4. \(\frac{-2}{3} . \left(\frac{-10}{-4}\right).\left(\frac{-10}{2}\right)\)
5. \(\frac{-12}{13} . \left(\frac{12}{-7}\right).\left(\frac{9}{-11}\right)\)
6. \(\frac{-8}{9} . \frac{10}{3}.\frac{6}{9}\)
7. \(\frac{4}{-19} . \left(\frac{-9}{10}\right).\left(\frac{-6}{-8}\right)\)
8. \(\frac{7}{10} . \frac{12}{9}.\left(\frac{-12}{-5}\right)\)
9. \(\frac{2}{-3} . \left(\frac{10}{-10}\right).\left(\frac{-6}{5}\right)\)
10. \(\frac{-6}{11} . \left(\frac{11}{-10}\right).\frac{10}{12}\)
11. \(\frac{12}{17} . \left(\frac{-7}{-5}\right).\left(\frac{-10}{-4}\right)\)
12. \(\frac{-2}{11} . \left(\frac{-10}{-12}\right).\frac{9}{4}\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-5}{14} . \left(\frac{-10}{-8}\right).\frac{11}{2}\\=-\frac{5}{14}.\frac{5}{4}.\frac{11}{2}\\=-\frac{5.5.11}{14.4.2}\\=-\frac{275}{112}\)
2. \(\frac{11}{-2} . \left(\frac{-3}{-3}\right).\frac{11}{6}\\=-\frac{11}{2}.\frac{1}{1}.\frac{11}{6}\\=-\frac{11.1.11}{2.1.6}\\=-\frac{121}{12}\)
3. \(\frac{6}{-5} . \left(\frac{12}{-10}\right).\frac{2}{4}\\=+\frac{6}{5}.\frac{6}{5}.\frac{1}{2}\\=+\frac{6.6.1}{5.5.2}\\=\frac{36}{50}\\=\frac{18}{25}\)
4. \(\frac{-2}{3} . \left(\frac{-10}{-4}\right).\left(\frac{-10}{2}\right)\\=+\frac{2}{3}.\frac{5}{2}.\frac{5}{1}\\=+\frac{2.5.5}{3.2.1}\\=\frac{50}{6}\\=\frac{25}{3}\)
5. \(\frac{-12}{13} . \left(\frac{12}{-7}\right).\left(\frac{9}{-11}\right)\\=-\frac{12.12.9}{13.7.11}\\=-\frac{1296}{1001}\)
6. \(\frac{-8}{9} . \frac{10}{3}.\frac{6}{9}\\=-\frac{8}{9}.\frac{10}{3}.\frac{2}{3}\\=-\frac{8.10.2}{9.3.3}\\=-\frac{160}{81}\)
7. \(\frac{4}{-19} . \left(\frac{-9}{10}\right).\left(\frac{-6}{-8}\right)\\=+\frac{4}{19}.\frac{9}{10}.\frac{3}{4}\\=+\frac{4.9.3}{19.10.4}\\=\frac{108}{760}\\=\frac{27}{190}\)
8. \(\frac{7}{10} . \frac{12}{9}.\left(\frac{-12}{-5}\right)\\=+\frac{7}{10}.\frac{4}{3}.\frac{12}{5}\\=+\frac{7.4.12}{10.3.5}\\=\frac{336}{150}\\=\frac{56}{25}\)
9. \(\frac{2}{-3} . \left(\frac{10}{-10}\right).\left(\frac{-6}{5}\right)\\=-\frac{2}{3}.\frac{1}{1}.\frac{6}{5}\\=-\frac{2.1.6}{3.1.5}\\=-\frac{12}{15}\\=-\frac{4}{5}\)
10. \(\frac{-6}{11} . \left(\frac{11}{-10}\right).\frac{10}{12}\\=+\frac{6}{11}.\frac{11}{10}.\frac{5}{6}\\=+\frac{6.11.5}{11.10.6}\\=\frac{330}{660}\\=\frac{1}{2}\)
11. \(\frac{12}{17} . \left(\frac{-7}{-5}\right).\left(\frac{-10}{-4}\right)\\=+\frac{12}{17}.\frac{7}{5}.\frac{5}{2}\\=+\frac{12.7.5}{17.5.2}\\=\frac{420}{170}\\=\frac{42}{17}\)
12. \(\frac{-2}{11} . \left(\frac{-10}{-12}\right).\frac{9}{4}\\=-\frac{2}{11}.\frac{5}{6}.\frac{9}{4}\\=-\frac{2.5.9}{11.6.4}\\=-\frac{90}{264}\\=-\frac{15}{44}\)