Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{12}{5} : \frac{5}{12}\\=\frac{12}{5} . \frac{12}{5}\\=\frac{12.12}{5.5}\\=\frac{144}{25}\)
2. \(\frac{12}{5} : \frac{6}{10}\\=\frac{12}{5} : \frac{3}{5}\\=\frac{12}{5} . \frac{5}{3}\\=\frac{12.5}{5.3}\\=\frac{60}{15}\\=\frac{4}{1}= 4\)
3. \(\frac{7}{11} : \frac{7}{14}\\=\frac{7}{11} : \frac{1}{2}\\=\frac{7}{11} . \frac{2}{1}\\=\frac{7.2}{11.1}\\=\frac{14}{11}\)
4. \(\frac{7}{11} : \frac{10}{2}\\=\frac{7}{11} : \frac{5}{1}\\=\frac{7}{11} . \frac{1}{5}\\=\frac{7.1}{11.5}\\=\frac{7}{55}\)
5. \(\frac{7}{3} : \frac{7}{13}\\=\frac{7}{3} . \frac{13}{7}\\=\frac{7.13}{3.7}\\=\frac{91}{21}\\=\frac{13}{3}\)
6. \(\frac{10}{5} : \frac{2}{4}\\=\frac{2}{1} : \frac{1}{2}\\=\frac{2}{1} . \frac{2}{1}\\=\frac{2.2}{1.1}\\=\frac{4}{1}= 4\)
7. \(\frac{9}{6} : \frac{7}{12}\\=\frac{3}{2} : \frac{7}{12}\\=\frac{3}{2} . \frac{12}{7}\\=\frac{3.12}{2.7}\\=\frac{36}{14}\\=\frac{18}{7}\)
8. \(\frac{10}{13} : \frac{11}{8}\\=\frac{10}{13} . \frac{8}{11}\\=\frac{10.8}{13.11}\\=\frac{80}{143}\)
9. \(\frac{2}{14} : \frac{4}{5}\\=\frac{1}{7} : \frac{4}{5}\\=\frac{1}{7} . \frac{5}{4}\\=\frac{1.5}{7.4}\\=\frac{5}{28}\)
10. \(\frac{9}{11} : \frac{10}{4}\\=\frac{9}{11} : \frac{5}{2}\\=\frac{9}{11} . \frac{2}{5}\\=\frac{9.2}{11.5}\\=\frac{18}{55}\)
11. \(\frac{9}{13} : \frac{10}{3}\\=\frac{9}{13} . \frac{3}{10}\\=\frac{9.3}{13.10}\\=\frac{27}{130}\)
12. \(\frac{12}{9} : \frac{12}{15}\\=\frac{4}{3} : \frac{4}{5}\\=\frac{4}{3} . \frac{5}{4}\\=\frac{4.5}{3.4}\\=\frac{20}{12}\\=\frac{5}{3}\)