Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{2}{9} : \frac{5}{2}\\=\frac{2}{9} . \frac{2}{5}\\=\frac{2.2}{9.5}\\=\frac{4}{45}\)
2. \(\frac{12}{4} : \frac{8}{12}\\=\frac{3}{1} : \frac{2}{3}\\=\frac{3}{1} . \frac{3}{2}\\=\frac{3.3}{1.2}\\=\frac{9}{2}\)
3. \(\frac{4}{9} : \frac{7}{5}\\=\frac{4}{9} . \frac{5}{7}\\=\frac{4.5}{9.7}\\=\frac{20}{63}\)
4. \(\frac{12}{15} : \frac{6}{4}\\=\frac{4}{5} : \frac{3}{2}\\=\frac{4}{5} . \frac{2}{3}\\=\frac{4.2}{5.3}\\=\frac{8}{15}\)
5. \(\frac{10}{12} : \frac{10}{9}\\=\frac{5}{6} : \frac{10}{9}\\=\frac{5}{6} . \frac{9}{10}\\=\frac{5.9}{6.10}\\=\frac{45}{60}\\=\frac{3}{4}\)
6. \(\frac{8}{3} : \frac{2}{13}\\=\frac{8}{3} . \frac{13}{2}\\=\frac{8.13}{3.2}\\=\frac{104}{6}\\=\frac{52}{3}\)
7. \(\frac{4}{6} : \frac{8}{9}\\=\frac{2}{3} : \frac{8}{9}\\=\frac{2}{3} . \frac{9}{8}\\=\frac{2.9}{3.8}\\=\frac{18}{24}\\=\frac{3}{4}\)
8. \(\frac{8}{9} : \frac{9}{15}\\=\frac{8}{9} : \frac{3}{5}\\=\frac{8}{9} . \frac{5}{3}\\=\frac{8.5}{9.3}\\=\frac{40}{27}\)
9. \(\frac{11}{5} : \frac{11}{3}\\=\frac{11}{5} . \frac{3}{11}\\=\frac{11.3}{5.11}\\=\frac{33}{55}\\=\frac{3}{5}\)
10. \(\frac{10}{8} : \frac{11}{9}\\=\frac{5}{4} : \frac{11}{9}\\=\frac{5}{4} . \frac{9}{11}\\=\frac{5.9}{4.11}\\=\frac{45}{44}\)
11. \(\frac{2}{12} : \frac{2}{8}\\=\frac{1}{6} : \frac{1}{4}\\=\frac{1}{6} . \frac{4}{1}\\=\frac{1.4}{6.1}\\=\frac{4}{6}\\=\frac{2}{3}\)
12. \(\frac{6}{2} : \frac{10}{9}\\=\frac{3}{1} : \frac{10}{9}\\=\frac{3}{1} . \frac{9}{10}\\=\frac{3.9}{1.10}\\=\frac{27}{10}\)