Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{-11}{17} . \left(\frac{-8}{3}\right).\left(\frac{10}{-4}\right)\)
2. \(\frac{6}{17} . \frac{8}{9}.\frac{12}{7}\)
3. \(\frac{8}{-9} . \left(\frac{-3}{-10}\right).\frac{11}{4}\)
4. \(\frac{6}{-17} . \left(\frac{-11}{-10}\right).\left(\frac{-4}{7}\right)\)
5. \(\frac{5}{-9} . \left(\frac{6}{-12}\right).\left(\frac{-6}{-2}\right)\)
6. \(\frac{-10}{-9} . \left(\frac{-7}{-7}\right).\left(\frac{-4}{-12}\right)\)
7. \(\frac{-2}{-11} . \left(\frac{-11}{2}\right).\left(\frac{-4}{3}\right)\)
8. \(\frac{7}{19} . \left(\frac{-7}{10}\right).\left(\frac{10}{-8}\right)\)
9. \(\frac{11}{-2} . \frac{3}{7}.\frac{6}{3}\)
10. \(\frac{5}{-3} . \frac{12}{8}.\left(\frac{-10}{8}\right)\)
11. \(\frac{11}{-9} . \left(\frac{9}{-11}\right).\left(\frac{-4}{-12}\right)\)
12. \(\frac{-11}{-15} . \left(\frac{-10}{-2}\right).\left(\frac{-4}{-9}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-11}{17} . \left(\frac{-8}{3}\right).\left(\frac{10}{-4}\right)\\=-\frac{11}{17}.\frac{8}{3}.\frac{5}{2}\\=-\frac{11.8.5}{17.3.2}\\=-\frac{440}{102}\\=-\frac{220}{51}\)
2. \(\frac{6}{17} . \frac{8}{9}.\frac{12}{7}\\=+\frac{6.8.12}{17.9.7}\\=\frac{576}{1071}\\=\frac{64}{119}\)
3. \(\frac{8}{-9} . \left(\frac{-3}{-10}\right).\frac{11}{4}\\=-\frac{8.3.11}{9.10.4}\\=-\frac{264}{360}\\=-\frac{11}{15}\)
4. \(\frac{6}{-17} . \left(\frac{-11}{-10}\right).\left(\frac{-4}{7}\right)\\=+\frac{6.11.4}{17.10.7}\\=\frac{264}{1190}\\=\frac{132}{595}\)
5. \(\frac{5}{-9} . \left(\frac{6}{-12}\right).\left(\frac{-6}{-2}\right)\\=+\frac{5}{9}.\frac{1}{2}.\frac{3}{1}\\=+\frac{5.1.3}{9.2.1}\\=\frac{15}{18}\\=\frac{5}{6}\)
6. \(\frac{-10}{-9} . \left(\frac{-7}{-7}\right).\left(\frac{-4}{-12}\right)\\=+\frac{10}{9}.\frac{1}{1}.\frac{1}{3}\\=+\frac{10.1.1}{9.1.3}\\=\frac{10}{27}\)
7. \(\frac{-2}{-11} . \left(\frac{-11}{2}\right).\left(\frac{-4}{3}\right)\\=+\frac{2.11.4}{11.2.3}\\=\frac{88}{66}\\=\frac{4}{3}\)
8. \(\frac{7}{19} . \left(\frac{-7}{10}\right).\left(\frac{10}{-8}\right)\\=+\frac{7}{19}.\frac{7}{10}.\frac{5}{4}\\=+\frac{7.7.5}{19.10.4}\\=\frac{245}{760}\\=\frac{49}{152}\)
9. \(\frac{11}{-2} . \frac{3}{7}.\frac{6}{3}\\=-\frac{11}{2}.\frac{3}{7}.\frac{2}{1}\\=-\frac{11.3.2}{2.7.1}\\=-\frac{66}{14}\\=-\frac{33}{7}\)
10. \(\frac{5}{-3} . \frac{12}{8}.\left(\frac{-10}{8}\right)\\=+\frac{5}{3}.\frac{3}{2}.\frac{5}{4}\\=+\frac{5.3.5}{3.2.4}\\=\frac{75}{24}\\=\frac{25}{8}\)
11. \(\frac{11}{-9} . \left(\frac{9}{-11}\right).\left(\frac{-4}{-12}\right)\\=+\frac{11}{9}.\frac{9}{11}.\frac{1}{3}\\=+\frac{11.9.1}{9.11.3}\\=\frac{99}{297}\\=\frac{1}{3}\)
12. \(\frac{-11}{-15} . \left(\frac{-10}{-2}\right).\left(\frac{-4}{-9}\right)\\=+\frac{11}{15}.\frac{5}{1}.\frac{4}{9}\\=+\frac{11.5.4}{15.1.9}\\=\frac{220}{135}\\=\frac{44}{27}\)