Breuken delen (reeks 1)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{2}{9} : \frac{6}{10}\\=\frac{2}{9} : \frac{3}{5}\\=\frac{2}{9} . \frac{5}{3}\\=\frac{2.5}{9.3}\\=\frac{10}{27}\)
2. \(\frac{10}{8} : \frac{11}{10}\\=\frac{5}{4} : \frac{11}{10}\\=\frac{5}{4} . \frac{10}{11}\\=\frac{5.10}{4.11}\\=\frac{50}{44}\\=\frac{25}{22}\)
3. \(\frac{12}{6} : \frac{3}{15}\\=\frac{2}{1} : \frac{1}{5}\\=\frac{2}{1} . \frac{5}{1}\\=\frac{2.5}{1.1}\\=\frac{10}{1}= 10\)
4. \(\frac{10}{12} : \frac{12}{6}\\=\frac{5}{6} : \frac{2}{1}\\=\frac{5}{6} . \frac{1}{2}\\=\frac{5.1}{6.2}\\=\frac{5}{12}\)
5. \(\frac{4}{15} : \frac{7}{9}\\=\frac{4}{15} . \frac{9}{7}\\=\frac{4.9}{15.7}\\=\frac{36}{105}\\=\frac{12}{35}\)
6. \(\frac{9}{8} : \frac{12}{10}\\=\frac{9}{8} : \frac{6}{5}\\=\frac{9}{8} . \frac{5}{6}\\=\frac{9.5}{8.6}\\=\frac{45}{48}\\=\frac{15}{16}\)
7. \(\frac{8}{14} : \frac{6}{15}\\=\frac{4}{7} : \frac{2}{5}\\=\frac{4}{7} . \frac{5}{2}\\=\frac{4.5}{7.2}\\=\frac{20}{14}\\=\frac{10}{7}\)
8. \(\frac{10}{10} : \frac{10}{14}\\=\frac{1}{1} : \frac{5}{7}\\=\frac{1}{1} . \frac{7}{5}\\=\frac{1.7}{1.5}\\=\frac{7}{5}\)
9. \(\frac{5}{5} : \frac{11}{12}\\=\frac{1}{1} : \frac{11}{12}\\=\frac{1}{1} . \frac{12}{11}\\=\frac{1.12}{1.11}\\=\frac{12}{11}\)
10. \(\frac{10}{2} : \frac{9}{10}\\=\frac{5}{1} : \frac{9}{10}\\=\frac{5}{1} . \frac{10}{9}\\=\frac{5.10}{1.9}\\=\frac{50}{9}\)
11. \(\frac{12}{14} : \frac{2}{6}\\=\frac{6}{7} : \frac{1}{3}\\=\frac{6}{7} . \frac{3}{1}\\=\frac{6.3}{7.1}\\=\frac{18}{7}\)
12. \(\frac{10}{10} : \frac{6}{15}\\=\frac{1}{1} : \frac{2}{5}\\=\frac{1}{1} . \frac{5}{2}\\=\frac{1.5}{1.2}\\=\frac{5}{2}\)