Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{11}{5} : \frac{5}{13}\\=\frac{11}{5} . \frac{13}{5}\\=\frac{11.13}{5.5}\\=\frac{143}{25}\)
2. \(\frac{5}{2} : \frac{5}{4}\\=\frac{5}{2} . \frac{4}{5}\\=\frac{5.4}{2.5}\\=\frac{20}{10}\\=\frac{2}{1}= 2\)
3. \(\frac{10}{11} : \frac{5}{15}\\=\frac{10}{11} : \frac{1}{3}\\=\frac{10}{11} . \frac{3}{1}\\=\frac{10.3}{11.1}\\=\frac{30}{11}\)
4. \(\frac{5}{7} : \frac{3}{5}\\=\frac{5}{7} . \frac{5}{3}\\=\frac{5.5}{7.3}\\=\frac{25}{21}\)
5. \(\frac{4}{7} : \frac{4}{5}\\=\frac{4}{7} . \frac{5}{4}\\=\frac{4.5}{7.4}\\=\frac{20}{28}\\=\frac{5}{7}\)
6. \(\frac{9}{5} : \frac{6}{4}\\=\frac{9}{5} : \frac{3}{2}\\=\frac{9}{5} . \frac{2}{3}\\=\frac{9.2}{5.3}\\=\frac{18}{15}\\=\frac{6}{5}\)
7. \(\frac{7}{8} : \frac{11}{11}\\=\frac{7}{8} : \frac{1}{1}\\=\frac{7}{8} . \frac{1}{1}\\=\frac{7.1}{8.1}\\=\frac{7}{8}\)
8. \(\frac{7}{5} : \frac{3}{15}\\=\frac{7}{5} : \frac{1}{5}\\=\frac{7}{5} . \frac{5}{1}\\=\frac{7.5}{5.1}\\=\frac{35}{5}\\=\frac{7}{1}= 7\)
9. \(\frac{8}{4} : \frac{12}{10}\\=\frac{2}{1} : \frac{6}{5}\\=\frac{2}{1} . \frac{5}{6}\\=\frac{2.5}{1.6}\\=\frac{10}{6}\\=\frac{5}{3}\)
10. \(\frac{3}{11} : \frac{5}{9}\\=\frac{3}{11} . \frac{9}{5}\\=\frac{3.9}{11.5}\\=\frac{27}{55}\)
11. \(\frac{8}{12} : \frac{4}{9}\\=\frac{2}{3} : \frac{4}{9}\\=\frac{2}{3} . \frac{9}{4}\\=\frac{2.9}{3.4}\\=\frac{18}{12}\\=\frac{3}{2}\)
12. \(\frac{2}{5} : \frac{12}{7}\\=\frac{2}{5} . \frac{7}{12}\\=\frac{2.7}{5.12}\\=\frac{14}{60}\\=\frac{7}{30}\)