Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{12}{11} . \left(\frac{-5}{5}\right).\left(\frac{4}{-11}\right)\)
2. \(\frac{-6}{11} . \left(\frac{-8}{10}\right).\left(\frac{-4}{-7}\right)\)
3. \(\frac{7}{4} . \left(\frac{4}{-4}\right).\left(\frac{-2}{5}\right)\)
4. \(\frac{3}{2} . \left(\frac{-9}{10}\right).\left(\frac{5}{-10}\right)\)
5. \(\frac{-11}{15} . \left(\frac{-8}{-2}\right).\frac{6}{2}\)
6. \(\frac{6}{11} . \left(\frac{5}{-12}\right).\left(\frac{-10}{-9}\right)\)
7. \(\frac{3}{19} . \frac{2}{11}.\frac{12}{11}\)
8. \(\frac{11}{-4} . \left(\frac{-10}{5}\right).\left(\frac{5}{-2}\right)\)
9. \(\frac{10}{3} . \left(\frac{6}{-9}\right).\frac{6}{11}\)
10. \(\frac{11}{2} . \left(\frac{-4}{-8}\right).\left(\frac{-10}{-12}\right)\)
11. \(\frac{7}{13} . \frac{7}{4}.\left(\frac{-11}{-9}\right)\)
12. \(\frac{-10}{-7} . \left(\frac{-5}{12}\right).\left(\frac{2}{-9}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{12}{11} . \left(\frac{-5}{5}\right).\left(\frac{4}{-11}\right)\\=+\frac{12}{11}.\frac{1}{1}.\frac{4}{11}\\=+\frac{12.1.4}{11.1.11}\\=\frac{48}{121}\)
2. \(\frac{-6}{11} . \left(\frac{-8}{10}\right).\left(\frac{-4}{-7}\right)\\=+\frac{6}{11}.\frac{4}{5}.\frac{4}{7}\\=+\frac{6.4.4}{11.5.7}\\=\frac{96}{385}\)
3. \(\frac{7}{4} . \left(\frac{4}{-4}\right).\left(\frac{-2}{5}\right)\\=+\frac{7}{4}.\frac{1}{1}.\frac{2}{5}\\=+\frac{7.1.2}{4.1.5}\\=\frac{14}{20}\\=\frac{7}{10}\)
4. \(\frac{3}{2} . \left(\frac{-9}{10}\right).\left(\frac{5}{-10}\right)\\=+\frac{3}{2}.\frac{9}{10}.\frac{1}{2}\\=+\frac{3.9.1}{2.10.2}\\=\frac{27}{40}\)
5. \(\frac{-11}{15} . \left(\frac{-8}{-2}\right).\frac{6}{2}\\=-\frac{11}{15}.\frac{4}{1}.\frac{3}{1}\\=-\frac{11.4.3}{15.1.1}\\=-\frac{132}{15}\\=-\frac{44}{5}\)
6. \(\frac{6}{11} . \left(\frac{5}{-12}\right).\left(\frac{-10}{-9}\right)\\=-\frac{6.5.10}{11.12.9}\\=-\frac{300}{1188}\\=-\frac{25}{99}\)
7. \(\frac{3}{19} . \frac{2}{11}.\frac{12}{11}\\=+\frac{3.2.12}{19.11.11}\\=\frac{72}{2299}\)
8. \(\frac{11}{-4} . \left(\frac{-10}{5}\right).\left(\frac{5}{-2}\right)\\=-\frac{11}{4}.\frac{2}{1}.\frac{5}{2}\\=-\frac{11.2.5}{4.1.2}\\=-\frac{110}{8}\\=-\frac{55}{4}\)
9. \(\frac{10}{3} . \left(\frac{6}{-9}\right).\frac{6}{11}\\=-\frac{10}{3}.\frac{2}{3}.\frac{6}{11}\\=-\frac{10.2.6}{3.3.11}\\=-\frac{120}{99}\\=-\frac{40}{33}\)
10. \(\frac{11}{2} . \left(\frac{-4}{-8}\right).\left(\frac{-10}{-12}\right)\\=+\frac{11}{2}.\frac{1}{2}.\frac{5}{6}\\=+\frac{11.1.5}{2.2.6}\\=\frac{55}{24}\)
11. \(\frac{7}{13} . \frac{7}{4}.\left(\frac{-11}{-9}\right)\\=+\frac{7.7.11}{13.4.9}\\=\frac{539}{468}\)
12. \(\frac{-10}{-7} . \left(\frac{-5}{12}\right).\left(\frac{2}{-9}\right)\\=+\frac{10.5.2}{7.12.9}\\=\frac{100}{756}\\=\frac{25}{189}\)