Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-2}{19} . \left(\frac{12}{-8}\right).\left(\frac{-10}{-9}\right)\)
2. \(\frac{5}{6} . \left(\frac{5}{-4}\right).\frac{11}{5}\)
3. \(\frac{5}{-3} . \frac{4}{3}.\left(\frac{5}{-5}\right)\)
4. \(\frac{-4}{-15} . \left(\frac{-7}{10}\right).\left(\frac{-7}{-9}\right)\)
5. \(\frac{12}{-7} . \frac{9}{7}.\left(\frac{-10}{-5}\right)\)
6. \(\frac{-4}{9} . \left(\frac{-3}{7}\right).\left(\frac{-10}{11}\right)\)
7. \(\frac{12}{-11} . \left(\frac{10}{-10}\right).\frac{6}{2}\)
8. \(\frac{-2}{19} . \left(\frac{-11}{-6}\right).\left(\frac{-9}{5}\right)\)
9. \(\frac{-6}{5} . \left(\frac{10}{-6}\right).\left(\frac{-6}{-4}\right)\)
10. \(\frac{11}{4} . \left(\frac{-2}{-6}\right).\left(\frac{-3}{10}\right)\)
11. \(\frac{6}{-5} . \frac{7}{8}.\frac{3}{6}\)
12. \(\frac{-6}{7} . \left(\frac{9}{-6}\right).\left(\frac{-3}{4}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-2}{19} . \left(\frac{12}{-8}\right).\left(\frac{-10}{-9}\right)\\=+\frac{2}{19}.\frac{3}{2}.\frac{10}{9}\\=+\frac{2.3.10}{19.2.9}\\=\frac{60}{342}\\=\frac{10}{57}\)
2. \(\frac{5}{6} . \left(\frac{5}{-4}\right).\frac{11}{5}\\=-\frac{5.5.11}{6.4.5}\\=-\frac{275}{120}\\=-\frac{55}{24}\)
3. \(\frac{5}{-3} . \frac{4}{3}.\left(\frac{5}{-5}\right)\\=+\frac{5}{3}.\frac{4}{3}.\frac{1}{1}\\=+\frac{5.4.1}{3.3.1}\\=\frac{20}{9}\)
4. \(\frac{-4}{-15} . \left(\frac{-7}{10}\right).\left(\frac{-7}{-9}\right)\\=-\frac{4.7.7}{15.10.9}\\=-\frac{196}{1350}\\=-\frac{98}{675}\)
5. \(\frac{12}{-7} . \frac{9}{7}.\left(\frac{-10}{-5}\right)\\=-\frac{12}{7}.\frac{9}{7}.\frac{2}{1}\\=-\frac{12.9.2}{7.7.1}\\=-\frac{216}{49}\)
6. \(\frac{-4}{9} . \left(\frac{-3}{7}\right).\left(\frac{-10}{11}\right)\\=-\frac{4.3.10}{9.7.11}\\=-\frac{120}{693}\\=-\frac{40}{231}\)
7. \(\frac{12}{-11} . \left(\frac{10}{-10}\right).\frac{6}{2}\\=+\frac{12}{11}.\frac{1}{1}.\frac{3}{1}\\=+\frac{12.1.3}{11.1.1}\\=\frac{36}{11}\)
8. \(\frac{-2}{19} . \left(\frac{-11}{-6}\right).\left(\frac{-9}{5}\right)\\=+\frac{2.11.9}{19.6.5}\\=\frac{198}{570}\\=\frac{33}{95}\)
9. \(\frac{-6}{5} . \left(\frac{10}{-6}\right).\left(\frac{-6}{-4}\right)\\=+\frac{6}{5}.\frac{5}{3}.\frac{3}{2}\\=+\frac{6.5.3}{5.3.2}\\=\frac{90}{30}\\=\frac{3}{1}= 3\)
10. \(\frac{11}{4} . \left(\frac{-2}{-6}\right).\left(\frac{-3}{10}\right)\\=-\frac{11}{4}.\frac{1}{3}.\frac{3}{10}\\=-\frac{11.1.3}{4.3.10}\\=-\frac{33}{120}\\=-\frac{11}{40}\)
11. \(\frac{6}{-5} . \frac{7}{8}.\frac{3}{6}\\=-\frac{6}{5}.\frac{7}{8}.\frac{1}{2}\\=-\frac{6.7.1}{5.8.2}\\=-\frac{42}{80}\\=-\frac{21}{40}\)
12. \(\frac{-6}{7} . \left(\frac{9}{-6}\right).\left(\frac{-3}{4}\right)\\=-\frac{6}{7}.\frac{3}{2}.\frac{3}{4}\\=-\frac{6.3.3}{7.2.4}\\=-\frac{54}{56}\\=-\frac{27}{28}\)