Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{-7}{-8} . \left(\frac{-9}{-10}\right).\left(\frac{2}{-7}\right)\)
2. \(\frac{3}{-10} . \left(\frac{-5}{8}\right).\left(\frac{10}{-11}\right)\)
3. \(\frac{6}{-5} . \left(\frac{5}{-4}\right).\left(\frac{-6}{-5}\right)\)
4. \(\frac{2}{-3} . \frac{7}{9}.\left(\frac{-4}{7}\right)\)
5. \(\frac{7}{-8} . \left(\frac{-6}{-4}\right).\left(\frac{-10}{-7}\right)\)
6. \(\frac{8}{15} . \left(\frac{11}{-10}\right).\left(\frac{-4}{3}\right)\)
7. \(\frac{4}{-17} . \left(\frac{5}{-12}\right).\left(\frac{-11}{-5}\right)\)
8. \(\frac{-11}{10} . \frac{3}{8}.\frac{9}{6}\)
9. \(\frac{5}{-6} . \frac{10}{2}.\frac{3}{8}\)
10. \(\frac{-3}{-13} . \left(\frac{-10}{10}\right).\frac{8}{5}\)
11. \(\frac{-11}{-8} . \left(\frac{-2}{5}\right).\left(\frac{9}{-3}\right)\)
12. \(\frac{-2}{17} . \frac{10}{9}.\left(\frac{-7}{-4}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-7}{-8} . \left(\frac{-9}{-10}\right).\left(\frac{2}{-7}\right)\\=-\frac{7.9.2}{8.10.7}\\=-\frac{126}{560}\\=-\frac{9}{40}\)
2. \(\frac{3}{-10} . \left(\frac{-5}{8}\right).\left(\frac{10}{-11}\right)\\=-\frac{3.5.10}{10.8.11}\\=-\frac{150}{880}\\=-\frac{15}{88}\)
3. \(\frac{6}{-5} . \left(\frac{5}{-4}\right).\left(\frac{-6}{-5}\right)\\=+\frac{6.5.6}{5.4.5}\\=\frac{180}{100}\\=\frac{9}{5}\)
4. \(\frac{2}{-3} . \frac{7}{9}.\left(\frac{-4}{7}\right)\\=+\frac{2.7.4}{3.9.7}\\=\frac{56}{189}\\=\frac{8}{27}\)
5. \(\frac{7}{-8} . \left(\frac{-6}{-4}\right).\left(\frac{-10}{-7}\right)\\=-\frac{7}{8}.\frac{3}{2}.\frac{10}{7}\\=-\frac{7.3.10}{8.2.7}\\=-\frac{210}{112}\\=-\frac{15}{8}\)
6. \(\frac{8}{15} . \left(\frac{11}{-10}\right).\left(\frac{-4}{3}\right)\\=+\frac{8.11.4}{15.10.3}\\=\frac{352}{450}\\=\frac{176}{225}\)
7. \(\frac{4}{-17} . \left(\frac{5}{-12}\right).\left(\frac{-11}{-5}\right)\\=+\frac{4.5.11}{17.12.5}\\=\frac{220}{1020}\\=\frac{11}{51}\)
8. \(\frac{-11}{10} . \frac{3}{8}.\frac{9}{6}\\=-\frac{11}{10}.\frac{3}{8}.\frac{3}{2}\\=-\frac{11.3.3}{10.8.2}\\=-\frac{99}{160}\)
9. \(\frac{5}{-6} . \frac{10}{2}.\frac{3}{8}\\=-\frac{5}{6}.\frac{5}{1}.\frac{3}{8}\\=-\frac{5.5.3}{6.1.8}\\=-\frac{75}{48}\\=-\frac{25}{16}\)
10. \(\frac{-3}{-13} . \left(\frac{-10}{10}\right).\frac{8}{5}\\=-\frac{3}{13}.\frac{1}{1}.\frac{8}{5}\\=-\frac{3.1.8}{13.1.5}\\=-\frac{24}{65}\)
11. \(\frac{-11}{-8} . \left(\frac{-2}{5}\right).\left(\frac{9}{-3}\right)\\=+\frac{11}{8}.\frac{2}{5}.\frac{3}{1}\\=+\frac{11.2.3}{8.5.1}\\=\frac{66}{40}\\=\frac{33}{20}\)
12. \(\frac{-2}{17} . \frac{10}{9}.\left(\frac{-7}{-4}\right)\\=-\frac{2.10.7}{17.9.4}\\=-\frac{140}{612}\\=-\frac{35}{153}\)