Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{-12}{13} . \frac{12}{3}.\left(\frac{-8}{-6}\right)\)
2. \(\frac{-10}{-9} . \left(\frac{10}{-10}\right).\frac{12}{3}\)
3. \(\frac{10}{-7} . \left(\frac{-5}{2}\right).\left(\frac{-8}{2}\right)\)
4. \(\frac{2}{-17} . \left(\frac{8}{-2}\right).\left(\frac{-11}{10}\right)\)
5. \(\frac{3}{-16} . \left(\frac{2}{-8}\right).\left(\frac{3}{-2}\right)\)
6. \(\frac{8}{15} . \frac{4}{11}.\frac{6}{4}\)
7. \(\frac{3}{-7} . \left(\frac{-6}{3}\right).\frac{5}{8}\)
8. \(\frac{12}{-5} . \left(\frac{9}{-12}\right).\left(\frac{3}{-7}\right)\)
9. \(\frac{-3}{-17} . \left(\frac{-7}{11}\right).\left(\frac{-8}{-10}\right)\)
10. \(\frac{-11}{18} . \left(\frac{-7}{-2}\right).\left(\frac{-2}{12}\right)\)
11. \(\frac{-5}{-3} . \left(\frac{-2}{11}\right).\left(\frac{-8}{-10}\right)\)
12. \(\frac{9}{-13} . \left(\frac{-2}{4}\right).\frac{8}{8}\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{-12}{13} . \frac{12}{3}.\left(\frac{-8}{-6}\right)\\=-\frac{12}{13}.\frac{4}{1}.\frac{4}{3}\\=-\frac{12.4.4}{13.1.3}\\=-\frac{192}{39}\\=-\frac{64}{13}\)
2. \(\frac{-10}{-9} . \left(\frac{10}{-10}\right).\frac{12}{3}\\=-\frac{10}{9}.\frac{1}{1}.\frac{4}{1}\\=-\frac{10.1.4}{9.1.1}\\=-\frac{40}{9}\)
3. \(\frac{10}{-7} . \left(\frac{-5}{2}\right).\left(\frac{-8}{2}\right)\\=-\frac{10}{7}.\frac{5}{2}.\frac{4}{1}\\=-\frac{10.5.4}{7.2.1}\\=-\frac{200}{14}\\=-\frac{100}{7}\)
4. \(\frac{2}{-17} . \left(\frac{8}{-2}\right).\left(\frac{-11}{10}\right)\\=-\frac{2}{17}.\frac{4}{1}.\frac{11}{10}\\=-\frac{2.4.11}{17.1.10}\\=-\frac{88}{170}\\=-\frac{44}{85}\)
5. \(\frac{3}{-16} . \left(\frac{2}{-8}\right).\left(\frac{3}{-2}\right)\\=-\frac{3}{16}.\frac{1}{4}.\frac{3}{2}\\=-\frac{3.1.3}{16.4.2}\\=-\frac{9}{128}\)
6. \(\frac{8}{15} . \frac{4}{11}.\frac{6}{4}\\=+\frac{8}{15}.\frac{4}{11}.\frac{3}{2}\\=+\frac{8.4.3}{15.11.2}\\=\frac{96}{330}\\=\frac{16}{55}\)
7. \(\frac{3}{-7} . \left(\frac{-6}{3}\right).\frac{5}{8}\\=+\frac{3}{7}.\frac{2}{1}.\frac{5}{8}\\=+\frac{3.2.5}{7.1.8}\\=\frac{30}{56}\\=\frac{15}{28}\)
8. \(\frac{12}{-5} . \left(\frac{9}{-12}\right).\left(\frac{3}{-7}\right)\\=-\frac{12}{5}.\frac{3}{4}.\frac{3}{7}\\=-\frac{12.3.3}{5.4.7}\\=-\frac{108}{140}\\=-\frac{27}{35}\)
9. \(\frac{-3}{-17} . \left(\frac{-7}{11}\right).\left(\frac{-8}{-10}\right)\\=-\frac{3}{17}.\frac{7}{11}.\frac{4}{5}\\=-\frac{3.7.4}{17.11.5}\\=-\frac{84}{935}\)
10. \(\frac{-11}{18} . \left(\frac{-7}{-2}\right).\left(\frac{-2}{12}\right)\\=+\frac{11}{18}.\frac{7}{2}.\frac{1}{6}\\=+\frac{11.7.1}{18.2.6}\\=\frac{77}{216}\)
11. \(\frac{-5}{-3} . \left(\frac{-2}{11}\right).\left(\frac{-8}{-10}\right)\\=-\frac{5}{3}.\frac{2}{11}.\frac{4}{5}\\=-\frac{5.2.4}{3.11.5}\\=-\frac{40}{165}\\=-\frac{8}{33}\)
12. \(\frac{9}{-13} . \left(\frac{-2}{4}\right).\frac{8}{8}\\=+\frac{9}{13}.\frac{1}{2}.\frac{1}{1}\\=+\frac{9.1.1}{13.2.1}\\=\frac{9}{26}\)