Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{8}{11} : \frac{3}{9}\\=\frac{8}{11} : \frac{1}{3}\\=\frac{8}{11} . \frac{3}{1}\\=\frac{8.3}{11.1}\\=\frac{24}{11}\)
2. \(\frac{9}{15} : \frac{9}{8}\\=\frac{3}{5} : \frac{9}{8}\\=\frac{3}{5} . \frac{8}{9}\\=\frac{3.8}{5.9}\\=\frac{24}{45}\\=\frac{8}{15}\)
3. \(\frac{6}{12} : \frac{3}{2}\\=\frac{1}{2} : \frac{3}{2}\\=\frac{1}{2} . \frac{2}{3}\\=\frac{1.2}{2.3}\\=\frac{2}{6}\\=\frac{1}{3}\)
4. \(\frac{7}{11} : \frac{5}{9}\\=\frac{7}{11} . \frac{9}{5}\\=\frac{7.9}{11.5}\\=\frac{63}{55}\)
5. \(\frac{11}{13} : \frac{5}{10}\\=\frac{11}{13} : \frac{1}{2}\\=\frac{11}{13} . \frac{2}{1}\\=\frac{11.2}{13.1}\\=\frac{22}{13}\)
6. \(\frac{6}{2} : \frac{3}{6}\\=\frac{3}{1} : \frac{1}{2}\\=\frac{3}{1} . \frac{2}{1}\\=\frac{3.2}{1.1}\\=\frac{6}{1}= 6\)
7. \(\frac{5}{13} : \frac{4}{4}\\=\frac{5}{13} : \frac{1}{1}\\=\frac{5}{13} . \frac{1}{1}\\=\frac{5.1}{13.1}\\=\frac{5}{13}\)
8. \(\frac{6}{8} : \frac{12}{2}\\=\frac{3}{4} : \frac{6}{1}\\=\frac{3}{4} . \frac{1}{6}\\=\frac{3.1}{4.6}\\=\frac{3}{24}\\=\frac{1}{8}\)
9. \(\frac{5}{3} : \frac{8}{5}\\=\frac{5}{3} . \frac{5}{8}\\=\frac{5.5}{3.8}\\=\frac{25}{24}\)
10. \(\frac{6}{14} : \frac{4}{9}\\=\frac{3}{7} : \frac{4}{9}\\=\frac{3}{7} . \frac{9}{4}\\=\frac{3.9}{7.4}\\=\frac{27}{28}\)
11. \(\frac{8}{7} : \frac{4}{15}\\=\frac{8}{7} . \frac{15}{4}\\=\frac{8.15}{7.4}\\=\frac{120}{28}\\=\frac{30}{7}\)
12. \(\frac{12}{2} : \frac{3}{4}\\=\frac{6}{1} : \frac{3}{4}\\=\frac{6}{1} . \frac{4}{3}\\=\frac{6.4}{1.3}\\=\frac{24}{3}\\=\frac{8}{1}= 8\)