# Breuken verm. (reeks 3)

#### Vermenigvuldig de breuken

1. $$\frac{9}{-14} . \left(\frac{-3}{-7}\right).\left(\frac{-8}{-7}\right)$$
2. $$\frac{3}{14} . \frac{2}{12}.\left(\frac{-11}{6}\right)$$
3. $$\frac{-6}{-13} . \left(\frac{5}{-5}\right).\left(\frac{-12}{-3}\right)$$
4. $$\frac{2}{-5} . \left(\frac{-12}{3}\right).\frac{9}{4}$$
5. $$\frac{6}{-19} . \left(\frac{-4}{-6}\right).\left(\frac{-5}{9}\right)$$
6. $$\frac{-10}{-13} . \left(\frac{11}{-12}\right).\left(\frac{-4}{5}\right)$$
7. $$\frac{9}{10} . \frac{9}{9}.\left(\frac{-2}{11}\right)$$
8. $$\frac{11}{2} . \left(\frac{-8}{-6}\right).\left(\frac{-9}{-9}\right)$$
9. $$\frac{-5}{7} . \left(\frac{-10}{8}\right).\frac{6}{11}$$
10. $$\frac{-11}{14} . \left(\frac{-10}{12}\right).\left(\frac{-5}{-5}\right)$$
11. $$\frac{4}{-13} . \frac{8}{10}.\left(\frac{4}{-12}\right)$$
12. $$\frac{-9}{-19} . \left(\frac{-5}{6}\right).\frac{7}{9}$$

#### Vermenigvuldig de breuken

##### Verbetersleutel

1. $$\frac{9}{-14} . \left(\frac{-3}{-7}\right).\left(\frac{-8}{-7}\right)\\=-\frac{9.3.8}{14.7.7}\\=-\frac{216}{686}\\=-\frac{108}{343}$$
2. $$\frac{3}{14} . \frac{2}{12}.\left(\frac{-11}{6}\right)\\=-\frac{3}{14}.\frac{1}{6}.\frac{11}{6}\\=-\frac{3.1.11}{14.6.6}\\=-\frac{33}{504}\\=-\frac{11}{168}$$
3. $$\frac{-6}{-13} . \left(\frac{5}{-5}\right).\left(\frac{-12}{-3}\right)\\=-\frac{6}{13}.\frac{1}{1}.\frac{4}{1}\\=-\frac{6.1.4}{13.1.1}\\=-\frac{24}{13}$$
4. $$\frac{2}{-5} . \left(\frac{-12}{3}\right).\frac{9}{4}\\=+\frac{2}{5}.\frac{4}{1}.\frac{9}{4}\\=+\frac{2.4.9}{5.1.4}\\=\frac{72}{20}\\=\frac{18}{5}$$
5. $$\frac{6}{-19} . \left(\frac{-4}{-6}\right).\left(\frac{-5}{9}\right)\\=+\frac{6}{19}.\frac{2}{3}.\frac{5}{9}\\=+\frac{6.2.5}{19.3.9}\\=\frac{60}{513}\\=\frac{20}{171}$$
6. $$\frac{-10}{-13} . \left(\frac{11}{-12}\right).\left(\frac{-4}{5}\right)\\=+\frac{10.11.4}{13.12.5}\\=\frac{440}{780}\\=\frac{22}{39}$$
7. $$\frac{9}{10} . \frac{9}{9}.\left(\frac{-2}{11}\right)\\=-\frac{9}{10}.\frac{1}{1}.\frac{2}{11}\\=-\frac{9.1.2}{10.1.11}\\=-\frac{18}{110}\\=-\frac{9}{55}$$
8. $$\frac{11}{2} . \left(\frac{-8}{-6}\right).\left(\frac{-9}{-9}\right)\\=+\frac{11}{2}.\frac{4}{3}.\frac{1}{1}\\=+\frac{11.4.1}{2.3.1}\\=\frac{44}{6}\\=\frac{22}{3}$$
9. $$\frac{-5}{7} . \left(\frac{-10}{8}\right).\frac{6}{11}\\=+\frac{5}{7}.\frac{5}{4}.\frac{6}{11}\\=+\frac{5.5.6}{7.4.11}\\=\frac{150}{308}\\=\frac{75}{154}$$
10. $$\frac{-11}{14} . \left(\frac{-10}{12}\right).\left(\frac{-5}{-5}\right)\\=+\frac{11}{14}.\frac{5}{6}.\frac{1}{1}\\=+\frac{11.5.1}{14.6.1}\\=\frac{55}{84}$$
11. $$\frac{4}{-13} . \frac{8}{10}.\left(\frac{4}{-12}\right)\\=+\frac{4}{13}.\frac{4}{5}.\frac{1}{3}\\=+\frac{4.4.1}{13.5.3}\\=\frac{16}{195}$$
12. $$\frac{-9}{-19} . \left(\frac{-5}{6}\right).\frac{7}{9}\\=-\frac{9.5.7}{19.6.9}\\=-\frac{315}{1026}\\=-\frac{35}{114}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2021-12-02 01:36:59