Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{8}{12} : \frac{3}{9}\\=\frac{2}{3} : \frac{1}{3}\\=\frac{2}{3} . \frac{3}{1}\\=\frac{2.3}{3.1}\\=\frac{6}{3}\\=\frac{2}{1}= 2\)
2. \(\frac{12}{3} : \frac{10}{10}\\=\frac{4}{1} : \frac{1}{1}\\=\frac{4}{1} . \frac{1}{1}\\=\frac{4.1}{1.1}\\=\frac{4}{1}= 4\)
3. \(\frac{12}{9} : \frac{9}{11}\\=\frac{4}{3} : \frac{9}{11}\\=\frac{4}{3} . \frac{11}{9}\\=\frac{4.11}{3.9}\\=\frac{44}{27}\)
4. \(\frac{9}{2} : \frac{12}{13}\\=\frac{9}{2} . \frac{13}{12}\\=\frac{9.13}{2.12}\\=\frac{117}{24}\\=\frac{39}{8}\)
5. \(\frac{8}{5} : \frac{4}{13}\\=\frac{8}{5} . \frac{13}{4}\\=\frac{8.13}{5.4}\\=\frac{104}{20}\\=\frac{26}{5}\)
6. \(\frac{3}{13} : \frac{6}{9}\\=\frac{3}{13} : \frac{2}{3}\\=\frac{3}{13} . \frac{3}{2}\\=\frac{3.3}{13.2}\\=\frac{9}{26}\)
7. \(\frac{9}{6} : \frac{7}{10}\\=\frac{3}{2} : \frac{7}{10}\\=\frac{3}{2} . \frac{10}{7}\\=\frac{3.10}{2.7}\\=\frac{30}{14}\\=\frac{15}{7}\)
8. \(\frac{10}{14} : \frac{3}{6}\\=\frac{5}{7} : \frac{1}{2}\\=\frac{5}{7} . \frac{2}{1}\\=\frac{5.2}{7.1}\\=\frac{10}{7}\)
9. \(\frac{10}{12} : \frac{3}{5}\\=\frac{5}{6} : \frac{3}{5}\\=\frac{5}{6} . \frac{5}{3}\\=\frac{5.5}{6.3}\\=\frac{25}{18}\)
10. \(\frac{12}{4} : \frac{7}{5}\\=\frac{3}{1} : \frac{7}{5}\\=\frac{3}{1} . \frac{5}{7}\\=\frac{3.5}{1.7}\\=\frac{15}{7}\)
11. \(\frac{3}{13} : \frac{3}{3}\\=\frac{3}{13} : \frac{1}{1}\\=\frac{3}{13} . \frac{1}{1}\\=\frac{3.1}{13.1}\\=\frac{3}{13}\)
12. \(\frac{12}{13} : \frac{9}{11}\\=\frac{12}{13} . \frac{11}{9}\\=\frac{12.11}{13.9}\\=\frac{132}{117}\\=\frac{44}{39}\)