Breuken delen (reeks 1)

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Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{4} : \frac{8}{12}\\=\frac{7}{4} : \frac{2}{3}\\=\frac{7}{4} . \frac{3}{2}\\=\frac{7.3}{4.2}\\=\frac{21}{8}\)
2. \(\frac{10}{10} : \frac{6}{3}\\=\frac{1}{1} : \frac{2}{1}\\=\frac{1}{1} . \frac{1}{2}\\=\frac{1.1}{1.2}\\=\frac{1}{2}\)
3. \(\frac{10}{9} : \frac{11}{6}\\=\frac{10}{9} . \frac{6}{11}\\=\frac{10.6}{9.11}\\=\frac{60}{99}\\=\frac{20}{33}\)
4. \(\frac{6}{12} : \frac{5}{10}\\=\frac{1}{2} : \frac{1}{2}\\=\frac{1}{2} . \frac{2}{1}\\=\frac{1.2}{2.1}\\=\frac{2}{2}\\=\frac{1}{1}= 1\)
5. \(\frac{12}{3} : \frac{12}{13}\\=\frac{4}{1} : \frac{12}{13}\\=\frac{4}{1} . \frac{13}{12}\\=\frac{4.13}{1.12}\\=\frac{52}{12}\\=\frac{13}{3}\)
6. \(\frac{12}{13} : \frac{5}{15}\\=\frac{12}{13} : \frac{1}{3}\\=\frac{12}{13} . \frac{3}{1}\\=\frac{12.3}{13.1}\\=\frac{36}{13}\)
7. \(\frac{6}{14} : \frac{6}{2}\\=\frac{3}{7} : \frac{3}{1}\\=\frac{3}{7} . \frac{1}{3}\\=\frac{3.1}{7.3}\\=\frac{3}{21}\\=\frac{1}{7}\)
8. \(\frac{2}{2} : \frac{6}{9}\\=\frac{1}{1} : \frac{2}{3}\\=\frac{1}{1} . \frac{3}{2}\\=\frac{1.3}{1.2}\\=\frac{3}{2}\)
9. \(\frac{6}{12} : \frac{3}{15}\\=\frac{1}{2} : \frac{1}{5}\\=\frac{1}{2} . \frac{5}{1}\\=\frac{1.5}{2.1}\\=\frac{5}{2}\)
10. \(\frac{9}{10} : \frac{10}{12}\\=\frac{9}{10} : \frac{5}{6}\\=\frac{9}{10} . \frac{6}{5}\\=\frac{9.6}{10.5}\\=\frac{54}{50}\\=\frac{27}{25}\)
11. \(\frac{10}{10} : \frac{8}{14}\\=\frac{1}{1} : \frac{4}{7}\\=\frac{1}{1} . \frac{7}{4}\\=\frac{1.7}{1.4}\\=\frac{7}{4}\)
12. \(\frac{6}{4} : \frac{3}{5}\\=\frac{3}{2} : \frac{3}{5}\\=\frac{3}{2} . \frac{5}{3}\\=\frac{3.5}{2.3}\\=\frac{15}{6}\\=\frac{5}{2}\)