Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{5}{11} : \frac{6}{12}\\=\frac{5}{11} : \frac{1}{2}\\=\frac{5}{11} . \frac{2}{1}\\=\frac{5.2}{11.1}\\=\frac{10}{11}\)
2. \(\frac{12}{6} : \frac{12}{7}\\=\frac{2}{1} : \frac{12}{7}\\=\frac{2}{1} . \frac{7}{12}\\=\frac{2.7}{1.12}\\=\frac{14}{12}\\=\frac{7}{6}\)
3. \(\frac{4}{7} : \frac{8}{3}\\=\frac{4}{7} . \frac{3}{8}\\=\frac{4.3}{7.8}\\=\frac{12}{56}\\=\frac{3}{14}\)
4. \(\frac{3}{4} : \frac{9}{11}\\=\frac{3}{4} . \frac{11}{9}\\=\frac{3.11}{4.9}\\=\frac{33}{36}\\=\frac{11}{12}\)
5. \(\frac{8}{15} : \frac{5}{9}\\=\frac{8}{15} . \frac{9}{5}\\=\frac{8.9}{15.5}\\=\frac{72}{75}\\=\frac{24}{25}\)
6. \(\frac{11}{10} : \frac{6}{9}\\=\frac{11}{10} : \frac{2}{3}\\=\frac{11}{10} . \frac{3}{2}\\=\frac{11.3}{10.2}\\=\frac{33}{20}\)
7. \(\frac{2}{11} : \frac{8}{9}\\=\frac{2}{11} . \frac{9}{8}\\=\frac{2.9}{11.8}\\=\frac{18}{88}\\=\frac{9}{44}\)
8. \(\frac{8}{5} : \frac{7}{3}\\=\frac{8}{5} . \frac{3}{7}\\=\frac{8.3}{5.7}\\=\frac{24}{35}\)
9. \(\frac{4}{12} : \frac{5}{5}\\=\frac{1}{3} : \frac{1}{1}\\=\frac{1}{3} . \frac{1}{1}\\=\frac{1.1}{3.1}\\=\frac{1}{3}\)
10. \(\frac{12}{9} : \frac{5}{2}\\=\frac{4}{3} : \frac{5}{2}\\=\frac{4}{3} . \frac{2}{5}\\=\frac{4.2}{3.5}\\=\frac{8}{15}\)
11. \(\frac{2}{4} : \frac{6}{3}\\=\frac{1}{2} : \frac{2}{1}\\=\frac{1}{2} . \frac{1}{2}\\=\frac{1.1}{2.2}\\=\frac{1}{4}\)
12. \(\frac{2}{6} : \frac{12}{4}\\=\frac{1}{3} : \frac{3}{1}\\=\frac{1}{3} . \frac{1}{3}\\=\frac{1.1}{3.3}\\=\frac{1}{9}\)