Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{12}{5} . \left(\frac{2}{-9}\right).\left(\frac{6}{-9}\right)\)
2. \(\frac{4}{19} . \left(\frac{3}{-10}\right).\frac{6}{9}\)
3. \(\frac{6}{13} . \left(\frac{7}{-5}\right).\left(\frac{9}{-3}\right)\)
4. \(\frac{11}{13} . \left(\frac{6}{-9}\right).\frac{12}{12}\)
5. \(\frac{-5}{-19} . \left(\frac{-6}{3}\right).\left(\frac{8}{-7}\right)\)
6. \(\frac{-10}{-17} . \left(\frac{-10}{-5}\right).\left(\frac{-4}{4}\right)\)
7. \(\frac{11}{18} . \left(\frac{-5}{-2}\right).\left(\frac{10}{-7}\right)\)
8. \(\frac{11}{-18} . \left(\frac{-2}{-8}\right).\left(\frac{11}{-7}\right)\)
9. \(\frac{6}{19} . \left(\frac{-10}{5}\right).\left(\frac{2}{-9}\right)\)
10. \(\frac{-4}{7} . \left(\frac{9}{-2}\right).\left(\frac{-9}{2}\right)\)
11. \(\frac{10}{7} . \left(\frac{-6}{5}\right).\left(\frac{-11}{10}\right)\)
12. \(\frac{-10}{-9} . \left(\frac{9}{-7}\right).\left(\frac{8}{-11}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{12}{5} . \left(\frac{2}{-9}\right).\left(\frac{6}{-9}\right)\\=+\frac{12}{5}.\frac{2}{9}.\frac{2}{3}\\=+\frac{12.2.2}{5.9.3}\\=\frac{48}{135}\\=\frac{16}{45}\)
2. \(\frac{4}{19} . \left(\frac{3}{-10}\right).\frac{6}{9}\\=-\frac{4}{19}.\frac{3}{10}.\frac{2}{3}\\=-\frac{4.3.2}{19.10.3}\\=-\frac{24}{570}\\=-\frac{4}{95}\)
3. \(\frac{6}{13} . \left(\frac{7}{-5}\right).\left(\frac{9}{-3}\right)\\=+\frac{6}{13}.\frac{7}{5}.\frac{3}{1}\\=+\frac{6.7.3}{13.5.1}\\=\frac{126}{65}\)
4. \(\frac{11}{13} . \left(\frac{6}{-9}\right).\frac{12}{12}\\=-\frac{11}{13}.\frac{2}{3}.\frac{1}{1}\\=-\frac{11.2.1}{13.3.1}\\=-\frac{22}{39}\)
5. \(\frac{-5}{-19} . \left(\frac{-6}{3}\right).\left(\frac{8}{-7}\right)\\=+\frac{5}{19}.\frac{2}{1}.\frac{8}{7}\\=+\frac{5.2.8}{19.1.7}\\=\frac{80}{133}\)
6. \(\frac{-10}{-17} . \left(\frac{-10}{-5}\right).\left(\frac{-4}{4}\right)\\=-\frac{10}{17}.\frac{2}{1}.\frac{1}{1}\\=-\frac{10.2.1}{17.1.1}\\=-\frac{20}{17}\)
7. \(\frac{11}{18} . \left(\frac{-5}{-2}\right).\left(\frac{10}{-7}\right)\\=-\frac{11.5.10}{18.2.7}\\=-\frac{550}{252}\\=-\frac{275}{126}\)
8. \(\frac{11}{-18} . \left(\frac{-2}{-8}\right).\left(\frac{11}{-7}\right)\\=+\frac{11}{18}.\frac{1}{4}.\frac{11}{7}\\=+\frac{11.1.11}{18.4.7}\\=\frac{121}{504}\)
9. \(\frac{6}{19} . \left(\frac{-10}{5}\right).\left(\frac{2}{-9}\right)\\=+\frac{6}{19}.\frac{2}{1}.\frac{2}{9}\\=+\frac{6.2.2}{19.1.9}\\=\frac{24}{171}\\=\frac{8}{57}\)
10. \(\frac{-4}{7} . \left(\frac{9}{-2}\right).\left(\frac{-9}{2}\right)\\=-\frac{4.9.9}{7.2.2}\\=-\frac{324}{28}\\=-\frac{81}{7}\)
11. \(\frac{10}{7} . \left(\frac{-6}{5}\right).\left(\frac{-11}{10}\right)\\=+\frac{10.6.11}{7.5.10}\\=\frac{660}{350}\\=\frac{66}{35}\)
12. \(\frac{-10}{-9} . \left(\frac{9}{-7}\right).\left(\frac{8}{-11}\right)\\=+\frac{10.9.8}{9.7.11}\\=\frac{720}{693}\\=\frac{80}{77}\)