Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{2}{9} : \frac{6}{15}\\=\frac{2}{9} : \frac{2}{5}\\=\frac{2}{9} . \frac{5}{2}\\=\frac{2.5}{9.2}\\=\frac{10}{18}\\=\frac{5}{9}\)
2. \(\frac{8}{14} : \frac{6}{7}\\=\frac{4}{7} : \frac{6}{7}\\=\frac{4}{7} . \frac{7}{6}\\=\frac{4.7}{7.6}\\=\frac{28}{42}\\=\frac{2}{3}\)
3. \(\frac{10}{14} : \frac{9}{14}\\=\frac{5}{7} : \frac{9}{14}\\=\frac{5}{7} . \frac{14}{9}\\=\frac{5.14}{7.9}\\=\frac{70}{63}\\=\frac{10}{9}\)
4. \(\frac{10}{6} : \frac{6}{4}\\=\frac{5}{3} : \frac{3}{2}\\=\frac{5}{3} . \frac{2}{3}\\=\frac{5.2}{3.3}\\=\frac{10}{9}\)
5. \(\frac{4}{14} : \frac{3}{2}\\=\frac{2}{7} : \frac{3}{2}\\=\frac{2}{7} . \frac{2}{3}\\=\frac{2.2}{7.3}\\=\frac{4}{21}\)
6. \(\frac{7}{12} : \frac{10}{9}\\=\frac{7}{12} . \frac{9}{10}\\=\frac{7.9}{12.10}\\=\frac{63}{120}\\=\frac{21}{40}\)
7. \(\frac{5}{13} : \frac{10}{4}\\=\frac{5}{13} : \frac{5}{2}\\=\frac{5}{13} . \frac{2}{5}\\=\frac{5.2}{13.5}\\=\frac{10}{65}\\=\frac{2}{13}\)
8. \(\frac{2}{10} : \frac{7}{2}\\=\frac{1}{5} : \frac{7}{2}\\=\frac{1}{5} . \frac{2}{7}\\=\frac{1.2}{5.7}\\=\frac{2}{35}\)
9. \(\frac{10}{15} : \frac{2}{3}\\=\frac{2}{3} : \frac{2}{3}\\=\frac{2}{3} . \frac{3}{2}\\=\frac{2.3}{3.2}\\=\frac{6}{6}\\=\frac{1}{1}= 1\)
10. \(\frac{10}{11} : \frac{11}{10}\\=\frac{10}{11} . \frac{10}{11}\\=\frac{10.10}{11.11}\\=\frac{100}{121}\)
11. \(\frac{8}{3} : \frac{5}{11}\\=\frac{8}{3} . \frac{11}{5}\\=\frac{8.11}{3.5}\\=\frac{88}{15}\)
12. \(\frac{9}{14} : \frac{7}{7}\\=\frac{9}{14} : \frac{1}{1}\\=\frac{9}{14} . \frac{1}{1}\\=\frac{9.1}{14.1}\\=\frac{9}{14}\)