Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

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

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-9}{-4} . \left(\frac{-6}{-4}\right).\left(\frac{-4}{12}\right)\\=-\frac{9}{4}.\frac{3}{2}.\frac{1}{3}\\=-\frac{9.3.1}{4.2.3}\\=-\frac{27}{24}\\=-\frac{9}{8}\)
2. \(\frac{2}{15} . \left(\frac{-12}{-11}\right).\left(\frac{-8}{2}\right)\\=-\frac{2}{15}.\frac{12}{11}.\frac{4}{1}\\=-\frac{2.12.4}{15.11.1}\\=-\frac{96}{165}\\=-\frac{32}{55}\)
3. \(\frac{-11}{15} . \frac{4}{8}.\left(\frac{-3}{4}\right)\\=+\frac{11}{15}.\frac{1}{2}.\frac{3}{4}\\=+\frac{11.1.3}{15.2.4}\\=\frac{33}{120}\\=\frac{11}{40}\)
4. \(\frac{2}{11} . \left(\frac{3}{-12}\right).\left(\frac{4}{-11}\right)\\=+\frac{2}{11}.\frac{1}{4}.\frac{4}{11}\\=+\frac{2.1.4}{11.4.11}\\=\frac{8}{484}\\=\frac{2}{121}\)
5. \(\frac{-4}{-7} . \left(\frac{2}{-2}\right).\left(\frac{-8}{-8}\right)\\=-\frac{4}{7}.\frac{1}{1}.\frac{1}{1}\\=-\frac{4.1.1}{7.1.1}\\=-\frac{4}{7}\)
6. \(\frac{2}{11} . \left(\frac{-7}{-10}\right).\left(\frac{4}{-10}\right)\\=-\frac{2}{11}.\frac{7}{10}.\frac{2}{5}\\=-\frac{2.7.2}{11.10.5}\\=-\frac{28}{550}\\=-\frac{14}{275}\)
7. \(\frac{8}{7} . \left(\frac{-9}{-11}\right).\left(\frac{-9}{-5}\right)\\=+\frac{8.9.9}{7.11.5}\\=\frac{648}{385}\)
8. \(\frac{-10}{-3} . \left(\frac{-3}{-3}\right).\frac{3}{6}\\=+\frac{10}{3}.\frac{1}{1}.\frac{1}{2}\\=+\frac{10.1.1}{3.1.2}\\=\frac{10}{6}\\=\frac{5}{3}\)
9. \(\frac{8}{-9} . \left(\frac{-8}{10}\right).\left(\frac{-6}{8}\right)\\=-\frac{8}{9}.\frac{4}{5}.\frac{3}{4}\\=-\frac{8.4.3}{9.5.4}\\=-\frac{96}{180}\\=-\frac{8}{15}\)
10. \(\frac{-11}{2} . \left(\frac{4}{-11}\right).\left(\frac{-5}{10}\right)\\=-\frac{11}{2}.\frac{4}{11}.\frac{1}{2}\\=-\frac{11.4.1}{2.11.2}\\=-\frac{44}{44}\\=-\frac{1}{1}= 1\)
11. \(\frac{-11}{-8} . \frac{8}{6}.\left(\frac{4}{-9}\right)\\=-\frac{11}{8}.\frac{4}{3}.\frac{4}{9}\\=-\frac{11.4.4}{8.3.9}\\=-\frac{176}{216}\\=-\frac{22}{27}\)
12. \(\frac{10}{-17} . \frac{3}{9}.\frac{8}{2}\\=-\frac{10}{17}.\frac{1}{3}.\frac{4}{1}\\=-\frac{10.1.4}{17.3.1}\\=-\frac{40}{51}\)