# Breuken verm. (reeks 3)

#### Vermenigvuldig de breuken

1. $$\frac{-9}{11} . \left(\frac{-7}{9}\right).\left(\frac{-12}{-8}\right)$$
2. $$\frac{-2}{-17} . \left(\frac{10}{-5}\right).\left(\frac{-11}{6}\right)$$
3. $$\frac{5}{14} . \left(\frac{-3}{4}\right).\left(\frac{-3}{-9}\right)$$
4. $$\frac{5}{-11} . \frac{8}{2}.\left(\frac{-11}{9}\right)$$
5. $$\frac{-11}{-19} . \left(\frac{-2}{4}\right).\left(\frac{4}{-4}\right)$$
6. $$\frac{4}{19} . \left(\frac{-5}{3}\right).\frac{9}{2}$$
7. $$\frac{9}{-13} . \left(\frac{-8}{-10}\right).\frac{6}{8}$$
8. $$\frac{-9}{8} . \left(\frac{4}{-2}\right).\frac{2}{8}$$
9. $$\frac{10}{13} . \left(\frac{-5}{-11}\right).\frac{2}{2}$$
10. $$\frac{-10}{11} . \left(\frac{8}{-5}\right).\left(\frac{-8}{9}\right)$$
11. $$\frac{3}{20} . \left(\frac{10}{-4}\right).\left(\frac{3}{-11}\right)$$
12. $$\frac{10}{-19} . \left(\frac{2}{-6}\right).\left(\frac{-4}{5}\right)$$

#### Vermenigvuldig de breuken

##### Verbetersleutel

1. $$\frac{-9}{11} . \left(\frac{-7}{9}\right).\left(\frac{-12}{-8}\right)\\=+\frac{9}{11}.\frac{7}{9}.\frac{3}{2}\\=+\frac{9.7.3}{11.9.2}\\=\frac{189}{198}\\=\frac{21}{22}$$
2. $$\frac{-2}{-17} . \left(\frac{10}{-5}\right).\left(\frac{-11}{6}\right)\\=+\frac{2}{17}.\frac{2}{1}.\frac{11}{6}\\=+\frac{2.2.11}{17.1.6}\\=\frac{44}{102}\\=\frac{22}{51}$$
3. $$\frac{5}{14} . \left(\frac{-3}{4}\right).\left(\frac{-3}{-9}\right)\\=-\frac{5}{14}.\frac{3}{4}.\frac{1}{3}\\=-\frac{5.3.1}{14.4.3}\\=-\frac{15}{168}\\=-\frac{5}{56}$$
4. $$\frac{5}{-11} . \frac{8}{2}.\left(\frac{-11}{9}\right)\\=+\frac{5}{11}.\frac{4}{1}.\frac{11}{9}\\=+\frac{5.4.11}{11.1.9}\\=\frac{220}{99}\\=\frac{20}{9}$$
5. $$\frac{-11}{-19} . \left(\frac{-2}{4}\right).\left(\frac{4}{-4}\right)\\=+\frac{11}{19}.\frac{1}{2}.\frac{1}{1}\\=+\frac{11.1.1}{19.2.1}\\=\frac{11}{38}$$
6. $$\frac{4}{19} . \left(\frac{-5}{3}\right).\frac{9}{2}\\=-\frac{4.5.9}{19.3.2}\\=-\frac{180}{114}\\=-\frac{30}{19}$$
7. $$\frac{9}{-13} . \left(\frac{-8}{-10}\right).\frac{6}{8}\\=-\frac{9}{13}.\frac{4}{5}.\frac{3}{4}\\=-\frac{9.4.3}{13.5.4}\\=-\frac{108}{260}\\=-\frac{27}{65}$$
8. $$\frac{-9}{8} . \left(\frac{4}{-2}\right).\frac{2}{8}\\=+\frac{9}{8}.\frac{2}{1}.\frac{1}{4}\\=+\frac{9.2.1}{8.1.4}\\=\frac{18}{32}\\=\frac{9}{16}$$
9. $$\frac{10}{13} . \left(\frac{-5}{-11}\right).\frac{2}{2}\\=+\frac{10}{13}.\frac{5}{11}.\frac{1}{1}\\=+\frac{10.5.1}{13.11.1}\\=\frac{50}{143}$$
10. $$\frac{-10}{11} . \left(\frac{8}{-5}\right).\left(\frac{-8}{9}\right)\\=-\frac{10.8.8}{11.5.9}\\=-\frac{640}{495}\\=-\frac{128}{99}$$
11. $$\frac{3}{20} . \left(\frac{10}{-4}\right).\left(\frac{3}{-11}\right)\\=+\frac{3}{20}.\frac{5}{2}.\frac{3}{11}\\=+\frac{3.5.3}{20.2.11}\\=\frac{45}{440}\\=\frac{9}{88}$$
12. $$\frac{10}{-19} . \left(\frac{2}{-6}\right).\left(\frac{-4}{5}\right)\\=-\frac{10}{19}.\frac{1}{3}.\frac{4}{5}\\=-\frac{10.1.4}{19.3.5}\\=-\frac{40}{285}\\=-\frac{8}{57}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 07:27:58