Breuken verm. (reeks 3)

Hoofdmenu Eentje per keer  🖨

Vermenigvuldig de breuken

1. \(\frac{11}{12} . \left(\frac{-6}{-7}\right).\frac{3}{10}\)
2. \(\frac{2}{-15} . \left(\frac{-6}{4}\right).\left(\frac{-12}{8}\right)\)
3. \(\frac{-7}{8} . \left(\frac{2}{-7}\right).\left(\frac{-4}{-9}\right)\)
4. \(\frac{-5}{-2} . \left(\frac{5}{-4}\right).\left(\frac{11}{-6}\right)\)
5. \(\frac{2}{-7} . \frac{11}{5}.\left(\frac{-11}{5}\right)\)
6. \(\frac{-12}{5} . \frac{7}{6}.\left(\frac{-6}{2}\right)\)
7. \(\frac{4}{-3} . \left(\frac{-11}{-6}\right).\left(\frac{4}{-6}\right)\)
8. \(\frac{4}{-5} . \left(\frac{8}{-6}\right).\left(\frac{-3}{-6}\right)\)
9. \(\frac{11}{2} . \left(\frac{-11}{11}\right).\left(\frac{-11}{2}\right)\)
10. \(\frac{10}{7} . \left(\frac{-6}{-3}\right).\left(\frac{12}{-12}\right)\)
11. \(\frac{-7}{-3} . \left(\frac{12}{-8}\right).\left(\frac{-12}{-11}\right)\)
12. \(\frac{-9}{14} . \left(\frac{5}{-10}\right).\left(\frac{-7}{10}\right)\)

---

Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{11}{12} . \left(\frac{-6}{-7}\right).\frac{3}{10}\\=+\frac{11.6.3}{12.7.10}\\=\frac{198}{840}\\=\frac{33}{140}\)
2. \(\frac{2}{-15} . \left(\frac{-6}{4}\right).\left(\frac{-12}{8}\right)\\=-\frac{2}{15}.\frac{3}{2}.\frac{3}{2}\\=-\frac{2.3.3}{15.2.2}\\=-\frac{18}{60}\\=-\frac{3}{10}\)
3. \(\frac{-7}{8} . \left(\frac{2}{-7}\right).\left(\frac{-4}{-9}\right)\\=+\frac{7.2.4}{8.7.9}\\=\frac{56}{504}\\=\frac{1}{9}\)
4. \(\frac{-5}{-2} . \left(\frac{5}{-4}\right).\left(\frac{11}{-6}\right)\\=+\frac{5.5.11}{2.4.6}\\=\frac{275}{48}\)
5. \(\frac{2}{-7} . \frac{11}{5}.\left(\frac{-11}{5}\right)\\=+\frac{2.11.11}{7.5.5}\\=\frac{242}{175}\)
6. \(\frac{-12}{5} . \frac{7}{6}.\left(\frac{-6}{2}\right)\\=+\frac{12}{5}.\frac{7}{6}.\frac{3}{1}\\=+\frac{12.7.3}{5.6.1}\\=\frac{252}{30}\\=\frac{42}{5}\)
7. \(\frac{4}{-3} . \left(\frac{-11}{-6}\right).\left(\frac{4}{-6}\right)\\=+\frac{4}{3}.\frac{11}{6}.\frac{2}{3}\\=+\frac{4.11.2}{3.6.3}\\=\frac{88}{54}\\=\frac{44}{27}\)
8. \(\frac{4}{-5} . \left(\frac{8}{-6}\right).\left(\frac{-3}{-6}\right)\\=+\frac{4}{5}.\frac{4}{3}.\frac{1}{2}\\=+\frac{4.4.1}{5.3.2}\\=\frac{16}{30}\\=\frac{8}{15}\)
9. \(\frac{11}{2} . \left(\frac{-11}{11}\right).\left(\frac{-11}{2}\right)\\=+\frac{11}{2}.\frac{1}{1}.\frac{11}{2}\\=+\frac{11.1.11}{2.1.2}\\=\frac{121}{4}\)
10. \(\frac{10}{7} . \left(\frac{-6}{-3}\right).\left(\frac{12}{-12}\right)\\=-\frac{10}{7}.\frac{2}{1}.\frac{1}{1}\\=-\frac{10.2.1}{7.1.1}\\=-\frac{20}{7}\)
11. \(\frac{-7}{-3} . \left(\frac{12}{-8}\right).\left(\frac{-12}{-11}\right)\\=-\frac{7}{3}.\frac{3}{2}.\frac{12}{11}\\=-\frac{7.3.12}{3.2.11}\\=-\frac{252}{66}\\=-\frac{42}{11}\)
12. \(\frac{-9}{14} . \left(\frac{5}{-10}\right).\left(\frac{-7}{10}\right)\\=-\frac{9}{14}.\frac{1}{2}.\frac{7}{10}\\=-\frac{9.1.7}{14.2.10}\\=-\frac{63}{280}\\=-\frac{9}{40}\)