Breuken verm. (reeks 1)

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Vermenigvuldig de breuken

1. \(\frac{5}{6} . \frac{8}{7}\)
2. \(\frac{9}{10} . \frac{2}{12}\)
3. \(\frac{10}{12} . \frac{4}{12}\)
4. \(\frac{12}{9} . \frac{2}{12}\)
5. \(\frac{10}{6} . \frac{6}{7}\)
6. \(\frac{9}{6} . \frac{5}{7}\)
7. \(\frac{5}{2} . \frac{4}{5}\)
8. \(\frac{8}{2} . \frac{6}{6}\)
9. \(\frac{4}{4} . \frac{3}{5}\)
10. \(\frac{5}{6} . \frac{6}{3}\)
11. \(\frac{3}{9} . \frac{5}{11}\)
12. \(\frac{4}{6} . \frac{3}{7}\)

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{5}{6} . \frac{8}{7}\\=\frac{5.8}{6.7}\\=\frac{40}{42}\\=\frac{20}{21}\)
2. \(\frac{9}{10} . \frac{2}{12}\\=\frac{9}{10} . \frac{1}{6}\\=\frac{9.1}{10.6}\\=\frac{9}{60}\\=\frac{3}{20}\)
3. \(\frac{10}{12} . \frac{4}{12}\\=\frac{5}{6} . \frac{1}{3}\\=\frac{5.1}{6.3}\\=\frac{5}{18}\)
4. \(\frac{12}{9} . \frac{2}{12}\\=\frac{4}{3} . \frac{1}{6}\\=\frac{4.1}{3.6}\\=\frac{4}{18}\\=\frac{2}{9}\)
5. \(\frac{10}{6} . \frac{6}{7}\\=\frac{5}{3} . \frac{6}{7}\\=\frac{5.6}{3.7}\\=\frac{30}{21}\\=\frac{10}{7}\)
6. \(\frac{9}{6} . \frac{5}{7}\\=\frac{3}{2} . \frac{5}{7}\\=\frac{3.5}{2.7}\\=\frac{15}{14}\)
7. \(\frac{5}{2} . \frac{4}{5}\\=\frac{5.4}{2.5}\\=\frac{20}{10}\\=\frac{2}{1}= 2\)
8. \(\frac{8}{2} . \frac{6}{6}\\=\frac{4}{1} . \frac{1}{1}\\=\frac{4.1}{1.1}\\=\frac{4}{1}= 4\)
9. \(\frac{4}{4} . \frac{3}{5}\\=\frac{1}{1} . \frac{3}{5}\\=\frac{1.3}{1.5}\\=\frac{3}{5}\)
10. \(\frac{5}{6} . \frac{6}{3}\\=\frac{5}{6} . \frac{2}{1}\\=\frac{5.2}{6.1}\\=\frac{10}{6}\\=\frac{5}{3}\)
11. \(\frac{3}{9} . \frac{5}{11}\\=\frac{1}{3} . \frac{5}{11}\\=\frac{1.5}{3.11}\\=\frac{5}{33}\)
12. \(\frac{4}{6} . \frac{3}{7}\\=\frac{2}{3} . \frac{3}{7}\\=\frac{2.3}{3.7}\\=\frac{6}{21}\\=\frac{2}{7}\)