Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{8}{11} : \frac{2}{2}\\=\frac{8}{11} : \frac{1}{1}\\=\frac{8}{11} . \frac{1}{1}\\=\frac{8.1}{11.1}\\=\frac{8}{11}\)
2. \(\frac{3}{3} : \frac{7}{9}\\=\frac{1}{1} : \frac{7}{9}\\=\frac{1}{1} . \frac{9}{7}\\=\frac{1.9}{1.7}\\=\frac{9}{7}\)
3. \(\frac{2}{13} : \frac{6}{11}\\=\frac{2}{13} . \frac{11}{6}\\=\frac{2.11}{13.6}\\=\frac{22}{78}\\=\frac{11}{39}\)
4. \(\frac{10}{8} : \frac{11}{10}\\=\frac{5}{4} : \frac{11}{10}\\=\frac{5}{4} . \frac{10}{11}\\=\frac{5.10}{4.11}\\=\frac{50}{44}\\=\frac{25}{22}\)
5. \(\frac{5}{15} : \frac{10}{13}\\=\frac{1}{3} : \frac{10}{13}\\=\frac{1}{3} . \frac{13}{10}\\=\frac{1.13}{3.10}\\=\frac{13}{30}\)
6. \(\frac{11}{12} : \frac{11}{5}\\=\frac{11}{12} . \frac{5}{11}\\=\frac{11.5}{12.11}\\=\frac{55}{132}\\=\frac{5}{12}\)
7. \(\frac{2}{5} : \frac{5}{3}\\=\frac{2}{5} . \frac{3}{5}\\=\frac{2.3}{5.5}\\=\frac{6}{25}\)
8. \(\frac{4}{12} : \frac{8}{12}\\=\frac{1}{3} : \frac{2}{3}\\=\frac{1}{3} . \frac{3}{2}\\=\frac{1.3}{3.2}\\=\frac{3}{6}\\=\frac{1}{2}\)
9. \(\frac{10}{7} : \frac{7}{4}\\=\frac{10}{7} . \frac{4}{7}\\=\frac{10.4}{7.7}\\=\frac{40}{49}\)
10. \(\frac{10}{4} : \frac{11}{11}\\=\frac{5}{2} : \frac{1}{1}\\=\frac{5}{2} . \frac{1}{1}\\=\frac{5.1}{2.1}\\=\frac{5}{2}\)
11. \(\frac{11}{6} : \frac{8}{9}\\=\frac{11}{6} . \frac{9}{8}\\=\frac{11.9}{6.8}\\=\frac{99}{48}\\=\frac{33}{16}\)
12. \(\frac{7}{7} : \frac{6}{13}\\=\frac{1}{1} : \frac{6}{13}\\=\frac{1}{1} . \frac{13}{6}\\=\frac{1.13}{1.6}\\=\frac{13}{6}\)