Breuken delen (reeks 1)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{10} : \frac{9}{15}\\=\frac{7}{10} : \frac{3}{5}\\=\frac{7}{10} . \frac{5}{3}\\=\frac{7.5}{10.3}\\=\frac{35}{30}\\=\frac{7}{6}\)
2. \(\frac{3}{4} : \frac{7}{4}\\=\frac{3}{4} . \frac{4}{7}\\=\frac{3.4}{4.7}\\=\frac{12}{28}\\=\frac{3}{7}\)
3. \(\frac{10}{13} : \frac{11}{10}\\=\frac{10}{13} . \frac{10}{11}\\=\frac{10.10}{13.11}\\=\frac{100}{143}\)
4. \(\frac{11}{2} : \frac{10}{3}\\=\frac{11}{2} . \frac{3}{10}\\=\frac{11.3}{2.10}\\=\frac{33}{20}\)
5. \(\frac{8}{9} : \frac{3}{4}\\=\frac{8}{9} . \frac{4}{3}\\=\frac{8.4}{9.3}\\=\frac{32}{27}\)
6. \(\frac{7}{14} : \frac{4}{10}\\=\frac{1}{2} : \frac{2}{5}\\=\frac{1}{2} . \frac{5}{2}\\=\frac{1.5}{2.2}\\=\frac{5}{4}\)
7. \(\frac{3}{15} : \frac{7}{12}\\=\frac{1}{5} : \frac{7}{12}\\=\frac{1}{5} . \frac{12}{7}\\=\frac{1.12}{5.7}\\=\frac{12}{35}\)
8. \(\frac{3}{14} : \frac{11}{15}\\=\frac{3}{14} . \frac{15}{11}\\=\frac{3.15}{14.11}\\=\frac{45}{154}\)
9. \(\frac{6}{13} : \frac{8}{8}\\=\frac{6}{13} : \frac{1}{1}\\=\frac{6}{13} . \frac{1}{1}\\=\frac{6.1}{13.1}\\=\frac{6}{13}\)
10. \(\frac{6}{5} : \frac{4}{14}\\=\frac{6}{5} : \frac{2}{7}\\=\frac{6}{5} . \frac{7}{2}\\=\frac{6.7}{5.2}\\=\frac{42}{10}\\=\frac{21}{5}\)
11. \(\frac{9}{11} : \frac{3}{11}\\=\frac{9}{11} . \frac{11}{3}\\=\frac{9.11}{11.3}\\=\frac{99}{33}\\=\frac{3}{1}= 3\)
12. \(\frac{8}{11} : \frac{2}{2}\\=\frac{8}{11} : \frac{1}{1}\\=\frac{8}{11} . \frac{1}{1}\\=\frac{8.1}{11.1}\\=\frac{8}{11}\)