Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

1. \(\frac{12}{2} : \frac{8}{7}\)
2. \(\frac{11}{5} : \frac{6}{10}\)
3. \(\frac{8}{7} : \frac{10}{3}\)
4. \(\frac{6}{14} : \frac{12}{6}\)
5. \(\frac{12}{5} : \frac{12}{15}\)
6. \(\frac{7}{9} : \frac{8}{12}\)
7. \(\frac{2}{10} : \frac{12}{13}\)
8. \(\frac{12}{6} : \frac{10}{13}\)
9. \(\frac{9}{12} : \frac{9}{7}\)
10. \(\frac{7}{15} : \frac{6}{8}\)
11. \(\frac{7}{6} : \frac{2}{7}\)
12. \(\frac{7}{11} : \frac{5}{13}\)

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Deel de breuken

Verbetersleutel

1. \(\frac{12}{2} : \frac{8}{7}\\=\frac{6}{1} : \frac{8}{7}\\=\frac{6}{1} . \frac{7}{8}\\=\frac{6.7}{1.8}\\=\frac{42}{8}\\=\frac{21}{4}\)
2. \(\frac{11}{5} : \frac{6}{10}\\=\frac{11}{5} : \frac{3}{5}\\=\frac{11}{5} . \frac{5}{3}\\=\frac{11.5}{5.3}\\=\frac{55}{15}\\=\frac{11}{3}\)
3. \(\frac{8}{7} : \frac{10}{3}\\=\frac{8}{7} . \frac{3}{10}\\=\frac{8.3}{7.10}\\=\frac{24}{70}\\=\frac{12}{35}\)
4. \(\frac{6}{14} : \frac{12}{6}\\=\frac{3}{7} : \frac{2}{1}\\=\frac{3}{7} . \frac{1}{2}\\=\frac{3.1}{7.2}\\=\frac{3}{14}\)
5. \(\frac{12}{5} : \frac{12}{15}\\=\frac{12}{5} : \frac{4}{5}\\=\frac{12}{5} . \frac{5}{4}\\=\frac{12.5}{5.4}\\=\frac{60}{20}\\=\frac{3}{1}= 3\)
6. \(\frac{7}{9} : \frac{8}{12}\\=\frac{7}{9} : \frac{2}{3}\\=\frac{7}{9} . \frac{3}{2}\\=\frac{7.3}{9.2}\\=\frac{21}{18}\\=\frac{7}{6}\)
7. \(\frac{2}{10} : \frac{12}{13}\\=\frac{1}{5} : \frac{12}{13}\\=\frac{1}{5} . \frac{13}{12}\\=\frac{1.13}{5.12}\\=\frac{13}{60}\)
8. \(\frac{12}{6} : \frac{10}{13}\\=\frac{2}{1} : \frac{10}{13}\\=\frac{2}{1} . \frac{13}{10}\\=\frac{2.13}{1.10}\\=\frac{26}{10}\\=\frac{13}{5}\)
9. \(\frac{9}{12} : \frac{9}{7}\\=\frac{3}{4} : \frac{9}{7}\\=\frac{3}{4} . \frac{7}{9}\\=\frac{3.7}{4.9}\\=\frac{21}{36}\\=\frac{7}{12}\)
10. \(\frac{7}{15} : \frac{6}{8}\\=\frac{7}{15} : \frac{3}{4}\\=\frac{7}{15} . \frac{4}{3}\\=\frac{7.4}{15.3}\\=\frac{28}{45}\)
11. \(\frac{7}{6} : \frac{2}{7}\\=\frac{7}{6} . \frac{7}{2}\\=\frac{7.7}{6.2}\\=\frac{49}{12}\)
12. \(\frac{7}{11} : \frac{5}{13}\\=\frac{7}{11} . \frac{13}{5}\\=\frac{7.13}{11.5}\\=\frac{91}{55}\)