Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{12}{14} : \frac{9}{13}\\=\frac{6}{7} : \frac{9}{13}\\=\frac{6}{7} . \frac{13}{9}\\=\frac{6.13}{7.9}\\=\frac{78}{63}\\=\frac{26}{21}\)
2. \(\frac{2}{9} : \frac{2}{5}\\=\frac{2}{9} . \frac{5}{2}\\=\frac{2.5}{9.2}\\=\frac{10}{18}\\=\frac{5}{9}\)
3. \(\frac{5}{3} : \frac{2}{15}\\=\frac{5}{3} . \frac{15}{2}\\=\frac{5.15}{3.2}\\=\frac{75}{6}\\=\frac{25}{2}\)
4. \(\frac{2}{12} : \frac{2}{7}\\=\frac{1}{6} : \frac{2}{7}\\=\frac{1}{6} . \frac{7}{2}\\=\frac{1.7}{6.2}\\=\frac{7}{12}\)
5. \(\frac{9}{3} : \frac{3}{5}\\=\frac{3}{1} : \frac{3}{5}\\=\frac{3}{1} . \frac{5}{3}\\=\frac{3.5}{1.3}\\=\frac{15}{3}\\=\frac{5}{1}= 5\)
6. \(\frac{5}{5} : \frac{6}{7}\\=\frac{1}{1} : \frac{6}{7}\\=\frac{1}{1} . \frac{7}{6}\\=\frac{1.7}{1.6}\\=\frac{7}{6}\)
7. \(\frac{7}{11} : \frac{6}{11}\\=\frac{7}{11} . \frac{11}{6}\\=\frac{7.11}{11.6}\\=\frac{77}{66}\\=\frac{7}{6}\)
8. \(\frac{5}{5} : \frac{7}{9}\\=\frac{1}{1} : \frac{7}{9}\\=\frac{1}{1} . \frac{9}{7}\\=\frac{1.9}{1.7}\\=\frac{9}{7}\)
9. \(\frac{11}{14} : \frac{3}{5}\\=\frac{11}{14} . \frac{5}{3}\\=\frac{11.5}{14.3}\\=\frac{55}{42}\)
10. \(\frac{5}{12} : \frac{11}{5}\\=\frac{5}{12} . \frac{5}{11}\\=\frac{5.5}{12.11}\\=\frac{25}{132}\)
11. \(\frac{12}{5} : \frac{8}{13}\\=\frac{12}{5} . \frac{13}{8}\\=\frac{12.13}{5.8}\\=\frac{156}{40}\\=\frac{39}{10}\)
12. \(\frac{4}{6} : \frac{3}{11}\\=\frac{2}{3} : \frac{3}{11}\\=\frac{2}{3} . \frac{11}{3}\\=\frac{2.11}{3.3}\\=\frac{22}{9}\)