Breuken verm. (reeks 1)

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Vermenigvuldig de breuken

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

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Vermenigvuldig de breuken

Verbetersleutel

1. \(\frac{10}{6} . \frac{8}{5}\\=\frac{5}{3} . \frac{8}{5}\\=\frac{5.8}{3.5}\\=\frac{40}{15}\\=\frac{8}{3}\)
2. \(\frac{12}{4} . \frac{7}{11}\\=\frac{3}{1} . \frac{7}{11}\\=\frac{3.7}{1.11}\\=\frac{21}{11}\)
3. \(\frac{3}{7} . \frac{3}{5}\\=\frac{3.3}{7.5}\\=\frac{9}{35}\)
4. \(\frac{4}{4} . \frac{10}{4}\\=\frac{1}{1} . \frac{5}{2}\\=\frac{1.5}{1.2}\\=\frac{5}{2}\)
5. \(\frac{11}{3} . \frac{8}{12}\\=\frac{11}{3} . \frac{2}{3}\\=\frac{11.2}{3.3}\\=\frac{22}{9}\)
6. \(\frac{3}{11} . \frac{3}{6}\\=\frac{3}{11} . \frac{1}{2}\\=\frac{3.1}{11.2}\\=\frac{3}{22}\)
7. \(\frac{12}{10} . \frac{11}{2}\\=\frac{6}{5} . \frac{11}{2}\\=\frac{6.11}{5.2}\\=\frac{66}{10}\\=\frac{33}{5}\)
8. \(\frac{7}{9} . \frac{8}{4}\\=\frac{7}{9} . \frac{2}{1}\\=\frac{7.2}{9.1}\\=\frac{14}{9}\)
9. \(\frac{3}{8} . \frac{8}{9}\\=\frac{3.8}{8.9}\\=\frac{24}{72}\\=\frac{1}{3}\)
10. \(\frac{3}{7} . \frac{7}{3}\\=\frac{3.7}{7.3}\\=\frac{21}{21}\\=\frac{1}{1}= 1\)
11. \(\frac{2}{8} . \frac{12}{6}\\=\frac{1}{4} . \frac{2}{1}\\=\frac{1.2}{4.1}\\=\frac{2}{4}\\=\frac{1}{2}\)
12. \(\frac{3}{10} . \frac{10}{8}\\=\frac{3}{10} . \frac{5}{4}\\=\frac{3.5}{10.4}\\=\frac{15}{40}\\=\frac{3}{8}\)