Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{8}{11} . \left(\frac{3}{-6}\right).\left(\frac{-7}{-12}\right)\)
2. \(\frac{5}{-3} . \frac{2}{11}.\frac{9}{10}\)
3. \(\frac{-3}{-19} . \left(\frac{-9}{-10}\right).\left(\frac{-7}{-10}\right)\)
4. \(\frac{-12}{-5} . \left(\frac{-9}{-9}\right).\left(\frac{-6}{-12}\right)\)
5. \(\frac{11}{16} . \left(\frac{-5}{-10}\right).\left(\frac{-2}{-5}\right)\)
6. \(\frac{8}{-9} . \left(\frac{-8}{8}\right).\left(\frac{-12}{2}\right)\)
7. \(\frac{-9}{7} . \left(\frac{-5}{-4}\right).\left(\frac{-8}{-6}\right)\)
8. \(\frac{10}{-7} . \left(\frac{7}{-7}\right).\frac{3}{4}\)
9. \(\frac{4}{7} . \left(\frac{12}{-11}\right).\left(\frac{-11}{6}\right)\)
10. \(\frac{-4}{-13} . \left(\frac{-10}{-5}\right).\frac{2}{12}\)
11. \(\frac{-6}{7} . \left(\frac{11}{-2}\right).\frac{2}{8}\)
12. \(\frac{-3}{5} . \frac{5}{6}.\frac{12}{7}\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{8}{11} . \left(\frac{3}{-6}\right).\left(\frac{-7}{-12}\right)\\=-\frac{8}{11}.\frac{1}{2}.\frac{7}{12}\\=-\frac{8.1.7}{11.2.12}\\=-\frac{56}{264}\\=-\frac{7}{33}\)
2. \(\frac{5}{-3} . \frac{2}{11}.\frac{9}{10}\\=-\frac{5.2.9}{3.11.10}\\=-\frac{90}{330}\\=-\frac{3}{11}\)
3. \(\frac{-3}{-19} . \left(\frac{-9}{-10}\right).\left(\frac{-7}{-10}\right)\\=+\frac{3.9.7}{19.10.10}\\=\frac{189}{1900}\)
4. \(\frac{-12}{-5} . \left(\frac{-9}{-9}\right).\left(\frac{-6}{-12}\right)\\=+\frac{12}{5}.\frac{1}{1}.\frac{1}{2}\\=+\frac{12.1.1}{5.1.2}\\=\frac{12}{10}\\=\frac{6}{5}\)
5. \(\frac{11}{16} . \left(\frac{-5}{-10}\right).\left(\frac{-2}{-5}\right)\\=+\frac{11}{16}.\frac{1}{2}.\frac{2}{5}\\=+\frac{11.1.2}{16.2.5}\\=\frac{22}{160}\\=\frac{11}{80}\)
6. \(\frac{8}{-9} . \left(\frac{-8}{8}\right).\left(\frac{-12}{2}\right)\\=-\frac{8}{9}.\frac{1}{1}.\frac{6}{1}\\=-\frac{8.1.6}{9.1.1}\\=-\frac{48}{9}\\=-\frac{16}{3}\)
7. \(\frac{-9}{7} . \left(\frac{-5}{-4}\right).\left(\frac{-8}{-6}\right)\\=-\frac{9}{7}.\frac{5}{4}.\frac{4}{3}\\=-\frac{9.5.4}{7.4.3}\\=-\frac{180}{84}\\=-\frac{15}{7}\)
8. \(\frac{10}{-7} . \left(\frac{7}{-7}\right).\frac{3}{4}\\=+\frac{10}{7}.\frac{1}{1}.\frac{3}{4}\\=+\frac{10.1.3}{7.1.4}\\=\frac{30}{28}\\=\frac{15}{14}\)
9. \(\frac{4}{7} . \left(\frac{12}{-11}\right).\left(\frac{-11}{6}\right)\\=+\frac{4.12.11}{7.11.6}\\=\frac{528}{462}\\=\frac{8}{7}\)
10. \(\frac{-4}{-13} . \left(\frac{-10}{-5}\right).\frac{2}{12}\\=+\frac{4}{13}.\frac{2}{1}.\frac{1}{6}\\=+\frac{4.2.1}{13.1.6}\\=\frac{8}{78}\\=\frac{4}{39}\)
11. \(\frac{-6}{7} . \left(\frac{11}{-2}\right).\frac{2}{8}\\=+\frac{6}{7}.\frac{11}{2}.\frac{1}{4}\\=+\frac{6.11.1}{7.2.4}\\=\frac{66}{56}\\=\frac{33}{28}\)
12. \(\frac{-3}{5} . \frac{5}{6}.\frac{12}{7}\\=-\frac{3.5.12}{5.6.7}\\=-\frac{180}{210}\\=-\frac{6}{7}\)