Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{3}{12} : \frac{12}{12}\\=\frac{1}{4} : \frac{1}{1}\\=\frac{1}{4} . \frac{1}{1}\\=\frac{1.1}{4.1}\\=\frac{1}{4}\)
2. \(\frac{10}{11} : \frac{10}{10}\\=\frac{10}{11} : \frac{1}{1}\\=\frac{10}{11} . \frac{1}{1}\\=\frac{10.1}{11.1}\\=\frac{10}{11}\)
3. \(\frac{7}{6} : \frac{2}{9}\\=\frac{7}{6} . \frac{9}{2}\\=\frac{7.9}{6.2}\\=\frac{63}{12}\\=\frac{21}{4}\)
4. \(\frac{3}{10} : \frac{2}{2}\\=\frac{3}{10} : \frac{1}{1}\\=\frac{3}{10} . \frac{1}{1}\\=\frac{3.1}{10.1}\\=\frac{3}{10}\)
5. \(\frac{12}{13} : \frac{5}{2}\\=\frac{12}{13} . \frac{2}{5}\\=\frac{12.2}{13.5}\\=\frac{24}{65}\)
6. \(\frac{8}{3} : \frac{2}{4}\\=\frac{8}{3} : \frac{1}{2}\\=\frac{8}{3} . \frac{2}{1}\\=\frac{8.2}{3.1}\\=\frac{16}{3}\)
7. \(\frac{7}{9} : \frac{11}{15}\\=\frac{7}{9} . \frac{15}{11}\\=\frac{7.15}{9.11}\\=\frac{105}{99}\\=\frac{35}{33}\)
8. \(\frac{2}{8} : \frac{11}{13}\\=\frac{1}{4} : \frac{11}{13}\\=\frac{1}{4} . \frac{13}{11}\\=\frac{1.13}{4.11}\\=\frac{13}{44}\)
9. \(\frac{3}{9} : \frac{5}{4}\\=\frac{1}{3} : \frac{5}{4}\\=\frac{1}{3} . \frac{4}{5}\\=\frac{1.4}{3.5}\\=\frac{4}{15}\)
10. \(\frac{11}{5} : \frac{7}{3}\\=\frac{11}{5} . \frac{3}{7}\\=\frac{11.3}{5.7}\\=\frac{33}{35}\)
11. \(\frac{8}{7} : \frac{2}{5}\\=\frac{8}{7} . \frac{5}{2}\\=\frac{8.5}{7.2}\\=\frac{40}{14}\\=\frac{20}{7}\)
12. \(\frac{5}{11} : \frac{10}{5}\\=\frac{5}{11} : \frac{2}{1}\\=\frac{5}{11} . \frac{1}{2}\\=\frac{5.1}{11.2}\\=\frac{5}{22}\)