Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{2}{5} : \frac{3}{4}\\=\frac{2}{5} . \frac{4}{3}\\=\frac{2.4}{5.3}\\=\frac{8}{15}\)
2. \(\frac{9}{13} : \frac{10}{7}\\=\frac{9}{13} . \frac{7}{10}\\=\frac{9.7}{13.10}\\=\frac{63}{130}\)
3. \(\frac{3}{4} : \frac{7}{14}\\=\frac{3}{4} : \frac{1}{2}\\=\frac{3}{4} . \frac{2}{1}\\=\frac{3.2}{4.1}\\=\frac{6}{4}\\=\frac{3}{2}\)
4. \(\frac{8}{7} : \frac{9}{2}\\=\frac{8}{7} . \frac{2}{9}\\=\frac{8.2}{7.9}\\=\frac{16}{63}\)
5. \(\frac{11}{14} : \frac{9}{6}\\=\frac{11}{14} : \frac{3}{2}\\=\frac{11}{14} . \frac{2}{3}\\=\frac{11.2}{14.3}\\=\frac{22}{42}\\=\frac{11}{21}\)
6. \(\frac{11}{6} : \frac{12}{7}\\=\frac{11}{6} . \frac{7}{12}\\=\frac{11.7}{6.12}\\=\frac{77}{72}\)
7. \(\frac{5}{4} : \frac{3}{13}\\=\frac{5}{4} . \frac{13}{3}\\=\frac{5.13}{4.3}\\=\frac{65}{12}\)
8. \(\frac{11}{3} : \frac{4}{11}\\=\frac{11}{3} . \frac{11}{4}\\=\frac{11.11}{3.4}\\=\frac{121}{12}\)
9. \(\frac{9}{13} : \frac{10}{11}\\=\frac{9}{13} . \frac{11}{10}\\=\frac{9.11}{13.10}\\=\frac{99}{130}\)
10. \(\frac{9}{6} : \frac{4}{6}\\=\frac{3}{2} : \frac{2}{3}\\=\frac{3}{2} . \frac{3}{2}\\=\frac{3.3}{2.2}\\=\frac{9}{4}\)
11. \(\frac{4}{13} : \frac{12}{2}\\=\frac{4}{13} : \frac{6}{1}\\=\frac{4}{13} . \frac{1}{6}\\=\frac{4.1}{13.6}\\=\frac{4}{78}\\=\frac{2}{39}\)
12. \(\frac{4}{2} : \frac{2}{3}\\=\frac{2}{1} : \frac{2}{3}\\=\frac{2}{1} . \frac{3}{2}\\=\frac{2.3}{1.2}\\=\frac{6}{2}\\=\frac{3}{1}= 3\)