Breuken delen (reeks 1)

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Deel de breuken

1. \(\frac{4}{6} : \frac{6}{15}\)
2. \(\frac{10}{14} : \frac{4}{11}\)
3. \(\frac{3}{8} : \frac{7}{3}\)
4. \(\frac{12}{14} : \frac{4}{10}\)
5. \(\frac{2}{4} : \frac{8}{9}\)
6. \(\frac{9}{12} : \frac{4}{13}\)
7. \(\frac{12}{7} : \frac{2}{14}\)
8. \(\frac{7}{8} : \frac{3}{8}\)
9. \(\frac{4}{6} : \frac{5}{9}\)
10. \(\frac{8}{6} : \frac{3}{5}\)
11. \(\frac{4}{2} : \frac{4}{14}\)
12. \(\frac{9}{3} : \frac{9}{7}\)

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Deel de breuken

Verbetersleutel

1. \(\frac{4}{6} : \frac{6}{15}\\=\frac{2}{3} : \frac{2}{5}\\=\frac{2}{3} . \frac{5}{2}\\=\frac{2.5}{3.2}\\=\frac{10}{6}\\=\frac{5}{3}\)
2. \(\frac{10}{14} : \frac{4}{11}\\=\frac{5}{7} : \frac{4}{11}\\=\frac{5}{7} . \frac{11}{4}\\=\frac{5.11}{7.4}\\=\frac{55}{28}\)
3. \(\frac{3}{8} : \frac{7}{3}\\=\frac{3}{8} . \frac{3}{7}\\=\frac{3.3}{8.7}\\=\frac{9}{56}\)
4. \(\frac{12}{14} : \frac{4}{10}\\=\frac{6}{7} : \frac{2}{5}\\=\frac{6}{7} . \frac{5}{2}\\=\frac{6.5}{7.2}\\=\frac{30}{14}\\=\frac{15}{7}\)
5. \(\frac{2}{4} : \frac{8}{9}\\=\frac{1}{2} : \frac{8}{9}\\=\frac{1}{2} . \frac{9}{8}\\=\frac{1.9}{2.8}\\=\frac{9}{16}\)
6. \(\frac{9}{12} : \frac{4}{13}\\=\frac{3}{4} : \frac{4}{13}\\=\frac{3}{4} . \frac{13}{4}\\=\frac{3.13}{4.4}\\=\frac{39}{16}\)
7. \(\frac{12}{7} : \frac{2}{14}\\=\frac{12}{7} : \frac{1}{7}\\=\frac{12}{7} . \frac{7}{1}\\=\frac{12.7}{7.1}\\=\frac{84}{7}\\=\frac{12}{1}= 12\)
8. \(\frac{7}{8} : \frac{3}{8}\\=\frac{7}{8} . \frac{8}{3}\\=\frac{7.8}{8.3}\\=\frac{56}{24}\\=\frac{7}{3}\)
9. \(\frac{4}{6} : \frac{5}{9}\\=\frac{2}{3} : \frac{5}{9}\\=\frac{2}{3} . \frac{9}{5}\\=\frac{2.9}{3.5}\\=\frac{18}{15}\\=\frac{6}{5}\)
10. \(\frac{8}{6} : \frac{3}{5}\\=\frac{4}{3} : \frac{3}{5}\\=\frac{4}{3} . \frac{5}{3}\\=\frac{4.5}{3.3}\\=\frac{20}{9}\)
11. \(\frac{4}{2} : \frac{4}{14}\\=\frac{2}{1} : \frac{2}{7}\\=\frac{2}{1} . \frac{7}{2}\\=\frac{2.7}{1.2}\\=\frac{14}{2}\\=\frac{7}{1}= 7\)
12. \(\frac{9}{3} : \frac{9}{7}\\=\frac{3}{1} : \frac{9}{7}\\=\frac{3}{1} . \frac{7}{9}\\=\frac{3.7}{1.9}\\=\frac{21}{9}\\=\frac{7}{3}\)