Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{5}{8} : \frac{2}{4}\\=\frac{5}{8} : \frac{1}{2}\\=\frac{5}{8} . \frac{2}{1}\\=\frac{5.2}{8.1}\\=\frac{10}{8}\\=\frac{5}{4}\)
2. \(\frac{3}{14} : \frac{10}{8}\\=\frac{3}{14} : \frac{5}{4}\\=\frac{3}{14} . \frac{4}{5}\\=\frac{3.4}{14.5}\\=\frac{12}{70}\\=\frac{6}{35}\)
3. \(\frac{6}{5} : \frac{10}{12}\\=\frac{6}{5} : \frac{5}{6}\\=\frac{6}{5} . \frac{6}{5}\\=\frac{6.6}{5.5}\\=\frac{36}{25}\)
4. \(\frac{2}{5} : \frac{4}{3}\\=\frac{2}{5} . \frac{3}{4}\\=\frac{2.3}{5.4}\\=\frac{6}{20}\\=\frac{3}{10}\)
5. \(\frac{2}{12} : \frac{2}{14}\\=\frac{1}{6} : \frac{1}{7}\\=\frac{1}{6} . \frac{7}{1}\\=\frac{1.7}{6.1}\\=\frac{7}{6}\)
6. \(\frac{11}{7} : \frac{4}{3}\\=\frac{11}{7} . \frac{3}{4}\\=\frac{11.3}{7.4}\\=\frac{33}{28}\)
7. \(\frac{11}{9} : \frac{5}{9}\\=\frac{11}{9} . \frac{9}{5}\\=\frac{11.9}{9.5}\\=\frac{99}{45}\\=\frac{11}{5}\)
8. \(\frac{8}{12} : \frac{6}{5}\\=\frac{2}{3} : \frac{6}{5}\\=\frac{2}{3} . \frac{5}{6}\\=\frac{2.5}{3.6}\\=\frac{10}{18}\\=\frac{5}{9}\)
9. \(\frac{2}{11} : \frac{5}{2}\\=\frac{2}{11} . \frac{2}{5}\\=\frac{2.2}{11.5}\\=\frac{4}{55}\)
10. \(\frac{7}{10} : \frac{7}{11}\\=\frac{7}{10} . \frac{11}{7}\\=\frac{7.11}{10.7}\\=\frac{77}{70}\\=\frac{11}{10}\)
11. \(\frac{3}{2} : \frac{6}{6}\\=\frac{3}{2} : \frac{1}{1}\\=\frac{3}{2} . \frac{1}{1}\\=\frac{3.1}{2.1}\\=\frac{3}{2}\)
12. \(\frac{6}{15} : \frac{11}{6}\\=\frac{2}{5} : \frac{11}{6}\\=\frac{2}{5} . \frac{6}{11}\\=\frac{2.6}{5.11}\\=\frac{12}{55}\)