Breuken delen (reeks 1)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{4}{9} : \frac{4}{13}\\=\frac{4}{9} . \frac{13}{4}\\=\frac{4.13}{9.4}\\=\frac{52}{36}\\=\frac{13}{9}\)
2. \(\frac{2}{8} : \frac{10}{4}\\=\frac{1}{4} : \frac{5}{2}\\=\frac{1}{4} . \frac{2}{5}\\=\frac{1.2}{4.5}\\=\frac{2}{20}\\=\frac{1}{10}\)
3. \(\frac{4}{7} : \frac{9}{14}\\=\frac{4}{7} . \frac{14}{9}\\=\frac{4.14}{7.9}\\=\frac{56}{63}\\=\frac{8}{9}\)
4. \(\frac{2}{11} : \frac{10}{3}\\=\frac{2}{11} . \frac{3}{10}\\=\frac{2.3}{11.10}\\=\frac{6}{110}\\=\frac{3}{55}\)
5. \(\frac{9}{2} : \frac{7}{5}\\=\frac{9}{2} . \frac{5}{7}\\=\frac{9.5}{2.7}\\=\frac{45}{14}\)
6. \(\frac{7}{12} : \frac{2}{3}\\=\frac{7}{12} . \frac{3}{2}\\=\frac{7.3}{12.2}\\=\frac{21}{24}\\=\frac{7}{8}\)
7. \(\frac{4}{7} : \frac{8}{6}\\=\frac{4}{7} : \frac{4}{3}\\=\frac{4}{7} . \frac{3}{4}\\=\frac{4.3}{7.4}\\=\frac{12}{28}\\=\frac{3}{7}\)
8. \(\frac{10}{5} : \frac{4}{2}\\=\frac{2}{1} : \frac{2}{1}\\=\frac{2}{1} . \frac{1}{2}\\=\frac{2.1}{1.2}\\=\frac{2}{2}\\=\frac{1}{1}= 1\)
9. \(\frac{2}{8} : \frac{4}{9}\\=\frac{1}{4} : \frac{4}{9}\\=\frac{1}{4} . \frac{9}{4}\\=\frac{1.9}{4.4}\\=\frac{9}{16}\)
10. \(\frac{3}{12} : \frac{10}{11}\\=\frac{1}{4} : \frac{10}{11}\\=\frac{1}{4} . \frac{11}{10}\\=\frac{1.11}{4.10}\\=\frac{11}{40}\)
11. \(\frac{12}{3} : \frac{10}{11}\\=\frac{4}{1} : \frac{10}{11}\\=\frac{4}{1} . \frac{11}{10}\\=\frac{4.11}{1.10}\\=\frac{44}{10}\\=\frac{22}{5}\)
12. \(\frac{2}{8} : \frac{3}{5}\\=\frac{1}{4} : \frac{3}{5}\\=\frac{1}{4} . \frac{5}{3}\\=\frac{1.5}{4.3}\\=\frac{5}{12}\)