Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{-2}{-11} . \frac{10}{11}.\frac{5}{11}\)
2. \(\frac{-7}{13} . \left(\frac{6}{-5}\right).\left(\frac{-8}{7}\right)\)
3. \(\frac{-7}{16} . \left(\frac{10}{-9}\right).\frac{4}{11}\)
4. \(\frac{12}{7} . \frac{3}{6}.\frac{12}{7}\)
5. \(\frac{-12}{-13} . \frac{8}{12}.\frac{12}{3}\)
6. \(\frac{5}{-18} . \left(\frac{-9}{2}\right).\left(\frac{3}{-4}\right)\)
7. \(\frac{-11}{8} . \frac{8}{10}.\left(\frac{5}{-9}\right)\)
8. \(\frac{6}{13} . \left(\frac{9}{-7}\right).\left(\frac{-4}{-12}\right)\)
9. \(\frac{5}{12} . \frac{5}{7}.\frac{11}{2}\)
10. \(\frac{-9}{11} . \left(\frac{11}{-12}\right).\left(\frac{-5}{-9}\right)\)
11. \(\frac{-4}{-17} . \left(\frac{-2}{-10}\right).\left(\frac{4}{-3}\right)\)
12. \(\frac{2}{3} . \left(\frac{7}{-5}\right).\left(\frac{7}{-6}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-2}{-11} . \frac{10}{11}.\frac{5}{11}\\=+\frac{2.10.5}{11.11.11}\\=\frac{100}{1331}\)
2. \(\frac{-7}{13} . \left(\frac{6}{-5}\right).\left(\frac{-8}{7}\right)\\=-\frac{7.6.8}{13.5.7}\\=-\frac{336}{455}\\=-\frac{48}{65}\)
3. \(\frac{-7}{16} . \left(\frac{10}{-9}\right).\frac{4}{11}\\=+\frac{7.10.4}{16.9.11}\\=\frac{280}{1584}\\=\frac{35}{198}\)
4. \(\frac{12}{7} . \frac{3}{6}.\frac{12}{7}\\=+\frac{12}{7}.\frac{1}{2}.\frac{12}{7}\\=+\frac{12.1.12}{7.2.7}\\=\frac{144}{98}\\=\frac{72}{49}\)
5. \(\frac{-12}{-13} . \frac{8}{12}.\frac{12}{3}\\=+\frac{12}{13}.\frac{2}{3}.\frac{4}{1}\\=+\frac{12.2.4}{13.3.1}\\=\frac{96}{39}\\=\frac{32}{13}\)
6. \(\frac{5}{-18} . \left(\frac{-9}{2}\right).\left(\frac{3}{-4}\right)\\=-\frac{5.9.3}{18.2.4}\\=-\frac{135}{144}\\=-\frac{15}{16}\)
7. \(\frac{-11}{8} . \frac{8}{10}.\left(\frac{5}{-9}\right)\\=+\frac{11}{8}.\frac{4}{5}.\frac{5}{9}\\=+\frac{11.4.5}{8.5.9}\\=\frac{220}{360}\\=\frac{11}{18}\)
8. \(\frac{6}{13} . \left(\frac{9}{-7}\right).\left(\frac{-4}{-12}\right)\\=-\frac{6}{13}.\frac{9}{7}.\frac{1}{3}\\=-\frac{6.9.1}{13.7.3}\\=-\frac{54}{273}\\=-\frac{18}{91}\)
9. \(\frac{5}{12} . \frac{5}{7}.\frac{11}{2}\\=+\frac{5.5.11}{12.7.2}\\=\frac{275}{168}\)
10. \(\frac{-9}{11} . \left(\frac{11}{-12}\right).\left(\frac{-5}{-9}\right)\\=+\frac{9.11.5}{11.12.9}\\=\frac{495}{1188}\\=\frac{5}{12}\)
11. \(\frac{-4}{-17} . \left(\frac{-2}{-10}\right).\left(\frac{4}{-3}\right)\\=-\frac{4}{17}.\frac{1}{5}.\frac{4}{3}\\=-\frac{4.1.4}{17.5.3}\\=-\frac{16}{255}\)
12. \(\frac{2}{3} . \left(\frac{7}{-5}\right).\left(\frac{7}{-6}\right)\\=+\frac{2.7.7}{3.5.6}\\=\frac{98}{90}\\=\frac{49}{45}\)