Breuken verm. (reeks 3)

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Vermenigvuldig de breuken

1. \(\frac{2}{9} . \left(\frac{-9}{7}\right).\left(\frac{-7}{2}\right)\)
2. \(\frac{6}{-17} . \left(\frac{2}{-6}\right).\left(\frac{-12}{-3}\right)\)
3. \(\frac{7}{-15} . \frac{8}{7}.\left(\frac{-6}{4}\right)\)
4. \(\frac{8}{-19} . \left(\frac{-4}{2}\right).\left(\frac{-5}{-11}\right)\)
5. \(\frac{-8}{15} . \frac{3}{3}.\left(\frac{11}{-11}\right)\)
6. \(\frac{-9}{-19} . \left(\frac{7}{-7}\right).\frac{12}{11}\)
7. \(\frac{-9}{14} . \left(\frac{7}{-3}\right).\left(\frac{6}{-6}\right)\)
8. \(\frac{-6}{-13} . \left(\frac{-8}{6}\right).\left(\frac{-2}{11}\right)\)
9. \(\frac{12}{7} . \frac{10}{4}.\left(\frac{8}{-6}\right)\)
10. \(\frac{-3}{-11} . \left(\frac{-10}{2}\right).\left(\frac{-7}{-5}\right)\)
11. \(\frac{-9}{4} . \frac{4}{8}.\frac{2}{12}\)
12. \(\frac{-10}{-3} . \left(\frac{-12}{-7}\right).\left(\frac{2}{-10}\right)\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{2}{9} . \left(\frac{-9}{7}\right).\left(\frac{-7}{2}\right)\\=+\frac{2.9.7}{9.7.2}\\=\frac{126}{126}\\=\frac{1}{1}= 1\)
2. \(\frac{6}{-17} . \left(\frac{2}{-6}\right).\left(\frac{-12}{-3}\right)\\=+\frac{6}{17}.\frac{1}{3}.\frac{4}{1}\\=+\frac{6.1.4}{17.3.1}\\=\frac{24}{51}\\=\frac{8}{17}\)
3. \(\frac{7}{-15} . \frac{8}{7}.\left(\frac{-6}{4}\right)\\=+\frac{7}{15}.\frac{8}{7}.\frac{3}{2}\\=+\frac{7.8.3}{15.7.2}\\=\frac{168}{210}\\=\frac{4}{5}\)
4. \(\frac{8}{-19} . \left(\frac{-4}{2}\right).\left(\frac{-5}{-11}\right)\\=+\frac{8}{19}.\frac{2}{1}.\frac{5}{11}\\=+\frac{8.2.5}{19.1.11}\\=\frac{80}{209}\)
5. \(\frac{-8}{15} . \frac{3}{3}.\left(\frac{11}{-11}\right)\\=+\frac{8}{15}.\frac{1}{1}.\frac{1}{1}\\=+\frac{8.1.1}{15.1.1}\\=\frac{8}{15}\)
6. \(\frac{-9}{-19} . \left(\frac{7}{-7}\right).\frac{12}{11}\\=-\frac{9}{19}.\frac{1}{1}.\frac{12}{11}\\=-\frac{9.1.12}{19.1.11}\\=-\frac{108}{209}\)
7. \(\frac{-9}{14} . \left(\frac{7}{-3}\right).\left(\frac{6}{-6}\right)\\=-\frac{9}{14}.\frac{7}{3}.\frac{1}{1}\\=-\frac{9.7.1}{14.3.1}\\=-\frac{63}{42}\\=-\frac{3}{2}\)
8. \(\frac{-6}{-13} . \left(\frac{-8}{6}\right).\left(\frac{-2}{11}\right)\\=+\frac{6}{13}.\frac{4}{3}.\frac{2}{11}\\=+\frac{6.4.2}{13.3.11}\\=\frac{48}{429}\\=\frac{16}{143}\)
9. \(\frac{12}{7} . \frac{10}{4}.\left(\frac{8}{-6}\right)\\=-\frac{12}{7}.\frac{5}{2}.\frac{4}{3}\\=-\frac{12.5.4}{7.2.3}\\=-\frac{240}{42}\\=-\frac{40}{7}\)
10. \(\frac{-3}{-11} . \left(\frac{-10}{2}\right).\left(\frac{-7}{-5}\right)\\=-\frac{3}{11}.\frac{5}{1}.\frac{7}{5}\\=-\frac{3.5.7}{11.1.5}\\=-\frac{105}{55}\\=-\frac{21}{11}\)
11. \(\frac{-9}{4} . \frac{4}{8}.\frac{2}{12}\\=-\frac{9}{4}.\frac{1}{2}.\frac{1}{6}\\=-\frac{9.1.1}{4.2.6}\\=-\frac{9}{48}\\=-\frac{3}{16}\)
12. \(\frac{-10}{-3} . \left(\frac{-12}{-7}\right).\left(\frac{2}{-10}\right)\\=-\frac{10}{3}.\frac{12}{7}.\frac{1}{5}\\=-\frac{10.12.1}{3.7.5}\\=-\frac{120}{105}\\=-\frac{8}{7}\)