Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{4}{10} : \frac{2}{9}\\=\frac{2}{5} : \frac{2}{9}\\=\frac{2}{5} . \frac{9}{2}\\=\frac{2.9}{5.2}\\=\frac{18}{10}\\=\frac{9}{5}\)
2. \(\frac{4}{10} : \frac{12}{7}\\=\frac{2}{5} : \frac{12}{7}\\=\frac{2}{5} . \frac{7}{12}\\=\frac{2.7}{5.12}\\=\frac{14}{60}\\=\frac{7}{30}\)
3. \(\frac{8}{8} : \frac{3}{15}\\=\frac{1}{1} : \frac{1}{5}\\=\frac{1}{1} . \frac{5}{1}\\=\frac{1.5}{1.1}\\=\frac{5}{1}= 5\)
4. \(\frac{12}{9} : \frac{11}{3}\\=\frac{4}{3} : \frac{11}{3}\\=\frac{4}{3} . \frac{3}{11}\\=\frac{4.3}{3.11}\\=\frac{12}{33}\\=\frac{4}{11}\)
5. \(\frac{3}{11} : \frac{10}{14}\\=\frac{3}{11} : \frac{5}{7}\\=\frac{3}{11} . \frac{7}{5}\\=\frac{3.7}{11.5}\\=\frac{21}{55}\)
6. \(\frac{4}{7} : \frac{2}{14}\\=\frac{4}{7} : \frac{1}{7}\\=\frac{4}{7} . \frac{7}{1}\\=\frac{4.7}{7.1}\\=\frac{28}{7}\\=\frac{4}{1}= 4\)
7. \(\frac{6}{5} : \frac{8}{4}\\=\frac{6}{5} : \frac{2}{1}\\=\frac{6}{5} . \frac{1}{2}\\=\frac{6.1}{5.2}\\=\frac{6}{10}\\=\frac{3}{5}\)
8. \(\frac{3}{14} : \frac{10}{10}\\=\frac{3}{14} : \frac{1}{1}\\=\frac{3}{14} . \frac{1}{1}\\=\frac{3.1}{14.1}\\=\frac{3}{14}\)
9. \(\frac{9}{12} : \frac{4}{12}\\=\frac{3}{4} : \frac{1}{3}\\=\frac{3}{4} . \frac{3}{1}\\=\frac{3.3}{4.1}\\=\frac{9}{4}\)
10. \(\frac{9}{7} : \frac{12}{10}\\=\frac{9}{7} : \frac{6}{5}\\=\frac{9}{7} . \frac{5}{6}\\=\frac{9.5}{7.6}\\=\frac{45}{42}\\=\frac{15}{14}\)
11. \(\frac{2}{12} : \frac{9}{6}\\=\frac{1}{6} : \frac{3}{2}\\=\frac{1}{6} . \frac{2}{3}\\=\frac{1.2}{6.3}\\=\frac{2}{18}\\=\frac{1}{9}\)
12. \(\frac{8}{9} : \frac{4}{9}\\=\frac{8}{9} . \frac{9}{4}\\=\frac{8.9}{9.4}\\=\frac{72}{36}\\=\frac{2}{1}= 2\)