Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{7}{5} . \left(\frac{-2}{-2}\right).\left(\frac{-7}{10}\right)\)
2. \(\frac{-8}{-11} . \left(\frac{-7}{-9}\right).\frac{3}{8}\)
3. \(\frac{-4}{-5} . \left(\frac{-2}{-7}\right).\left(\frac{-2}{-6}\right)\)
4. \(\frac{11}{20} . \left(\frac{-9}{-3}\right).\left(\frac{-9}{-8}\right)\)
5. \(\frac{-8}{-19} . \left(\frac{-7}{9}\right).\left(\frac{-2}{-12}\right)\)
6. \(\frac{11}{-2} . \left(\frac{4}{-2}\right).\left(\frac{-11}{-5}\right)\)
7. \(\frac{-6}{-17} . \frac{2}{10}.\frac{12}{10}\)
8. \(\frac{-11}{14} . \left(\frac{-6}{7}\right).\left(\frac{-9}{-7}\right)\)
9. \(\frac{5}{-18} . \left(\frac{10}{-7}\right).\left(\frac{2}{-12}\right)\)
10. \(\frac{-9}{-19} . \frac{5}{6}.\left(\frac{12}{-6}\right)\)
11. \(\frac{-6}{7} . \left(\frac{-8}{-12}\right).\frac{7}{2}\)
12. \(\frac{3}{16} . \frac{7}{8}.\left(\frac{7}{-10}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{7}{5} . \left(\frac{-2}{-2}\right).\left(\frac{-7}{10}\right)\\=-\frac{7}{5}.\frac{1}{1}.\frac{7}{10}\\=-\frac{7.1.7}{5.1.10}\\=-\frac{49}{50}\)
2. \(\frac{-8}{-11} . \left(\frac{-7}{-9}\right).\frac{3}{8}\\=+\frac{8.7.3}{11.9.8}\\=\frac{168}{792}\\=\frac{7}{33}\)
3. \(\frac{-4}{-5} . \left(\frac{-2}{-7}\right).\left(\frac{-2}{-6}\right)\\=+\frac{4}{5}.\frac{2}{7}.\frac{1}{3}\\=+\frac{4.2.1}{5.7.3}\\=\frac{8}{105}\)
4. \(\frac{11}{20} . \left(\frac{-9}{-3}\right).\left(\frac{-9}{-8}\right)\\=+\frac{11}{20}.\frac{3}{1}.\frac{9}{8}\\=+\frac{11.3.9}{20.1.8}\\=\frac{297}{160}\)
5. \(\frac{-8}{-19} . \left(\frac{-7}{9}\right).\left(\frac{-2}{-12}\right)\\=-\frac{8}{19}.\frac{7}{9}.\frac{1}{6}\\=-\frac{8.7.1}{19.9.6}\\=-\frac{56}{1026}\\=-\frac{28}{513}\)
6. \(\frac{11}{-2} . \left(\frac{4}{-2}\right).\left(\frac{-11}{-5}\right)\\=+\frac{11}{2}.\frac{2}{1}.\frac{11}{5}\\=+\frac{11.2.11}{2.1.5}\\=\frac{242}{10}\\=\frac{121}{5}\)
7. \(\frac{-6}{-17} . \frac{2}{10}.\frac{12}{10}\\=+\frac{6}{17}.\frac{1}{5}.\frac{6}{5}\\=+\frac{6.1.6}{17.5.5}\\=\frac{36}{425}\)
8. \(\frac{-11}{14} . \left(\frac{-6}{7}\right).\left(\frac{-9}{-7}\right)\\=+\frac{11.6.9}{14.7.7}\\=\frac{594}{686}\\=\frac{297}{343}\)
9. \(\frac{5}{-18} . \left(\frac{10}{-7}\right).\left(\frac{2}{-12}\right)\\=-\frac{5}{18}.\frac{10}{7}.\frac{1}{6}\\=-\frac{5.10.1}{18.7.6}\\=-\frac{50}{756}\\=-\frac{25}{378}\)
10. \(\frac{-9}{-19} . \frac{5}{6}.\left(\frac{12}{-6}\right)\\=-\frac{9}{19}.\frac{5}{6}.\frac{2}{1}\\=-\frac{9.5.2}{19.6.1}\\=-\frac{90}{114}\\=-\frac{15}{19}\)
11. \(\frac{-6}{7} . \left(\frac{-8}{-12}\right).\frac{7}{2}\\=-\frac{6}{7}.\frac{2}{3}.\frac{7}{2}\\=-\frac{6.2.7}{7.3.2}\\=-\frac{84}{42}\\=-\frac{2}{1}= 2\)
12. \(\frac{3}{16} . \frac{7}{8}.\left(\frac{7}{-10}\right)\\=-\frac{3.7.7}{16.8.10}\\=-\frac{147}{1280}\)