Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{5}{4} : \frac{4}{15}\\=\frac{5}{4} . \frac{15}{4}\\=\frac{5.15}{4.4}\\=\frac{75}{16}\)
2. \(\frac{4}{11} : \frac{8}{2}\\=\frac{4}{11} : \frac{4}{1}\\=\frac{4}{11} . \frac{1}{4}\\=\frac{4.1}{11.4}\\=\frac{4}{44}\\=\frac{1}{11}\)
3. \(\frac{12}{8} : \frac{5}{5}\\=\frac{3}{2} : \frac{1}{1}\\=\frac{3}{2} . \frac{1}{1}\\=\frac{3.1}{2.1}\\=\frac{3}{2}\)
4. \(\frac{7}{5} : \frac{5}{4}\\=\frac{7}{5} . \frac{4}{5}\\=\frac{7.4}{5.5}\\=\frac{28}{25}\)
5. \(\frac{6}{7} : \frac{9}{11}\\=\frac{6}{7} . \frac{11}{9}\\=\frac{6.11}{7.9}\\=\frac{66}{63}\\=\frac{22}{21}\)
6. \(\frac{4}{2} : \frac{11}{2}\\=\frac{2}{1} : \frac{11}{2}\\=\frac{2}{1} . \frac{2}{11}\\=\frac{2.2}{1.11}\\=\frac{4}{11}\)
7. \(\frac{6}{12} : \frac{11}{6}\\=\frac{1}{2} : \frac{11}{6}\\=\frac{1}{2} . \frac{6}{11}\\=\frac{1.6}{2.11}\\=\frac{6}{22}\\=\frac{3}{11}\)
8. \(\frac{4}{14} : \frac{11}{13}\\=\frac{2}{7} : \frac{11}{13}\\=\frac{2}{7} . \frac{13}{11}\\=\frac{2.13}{7.11}\\=\frac{26}{77}\)
9. \(\frac{11}{10} : \frac{6}{3}\\=\frac{11}{10} : \frac{2}{1}\\=\frac{11}{10} . \frac{1}{2}\\=\frac{11.1}{10.2}\\=\frac{11}{20}\)
10. \(\frac{6}{13} : \frac{12}{5}\\=\frac{6}{13} . \frac{5}{12}\\=\frac{6.5}{13.12}\\=\frac{30}{156}\\=\frac{5}{26}\)
11. \(\frac{8}{11} : \frac{2}{11}\\=\frac{8}{11} . \frac{11}{2}\\=\frac{8.11}{11.2}\\=\frac{88}{22}\\=\frac{4}{1}= 4\)
12. \(\frac{3}{4} : \frac{6}{5}\\=\frac{3}{4} . \frac{5}{6}\\=\frac{3.5}{4.6}\\=\frac{15}{24}\\=\frac{5}{8}\)