Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{9}{15} : \frac{10}{11}\\=\frac{3}{5} : \frac{10}{11}\\=\frac{3}{5} . \frac{11}{10}\\=\frac{3.11}{5.10}\\=\frac{33}{50}\)
2. \(\frac{4}{7} : \frac{10}{15}\\=\frac{4}{7} : \frac{2}{3}\\=\frac{4}{7} . \frac{3}{2}\\=\frac{4.3}{7.2}\\=\frac{12}{14}\\=\frac{6}{7}\)
3. \(\frac{6}{7} : \frac{5}{6}\\=\frac{6}{7} . \frac{6}{5}\\=\frac{6.6}{7.5}\\=\frac{36}{35}\)
4. \(\frac{8}{5} : \frac{12}{7}\\=\frac{8}{5} . \frac{7}{12}\\=\frac{8.7}{5.12}\\=\frac{56}{60}\\=\frac{14}{15}\)
5. \(\frac{5}{7} : \frac{10}{14}\\=\frac{5}{7} : \frac{5}{7}\\=\frac{5}{7} . \frac{7}{5}\\=\frac{5.7}{7.5}\\=\frac{35}{35}\\=\frac{1}{1}= 1\)
6. \(\frac{4}{3} : \frac{4}{6}\\=\frac{4}{3} : \frac{2}{3}\\=\frac{4}{3} . \frac{3}{2}\\=\frac{4.3}{3.2}\\=\frac{12}{6}\\=\frac{2}{1}= 2\)
7. \(\frac{3}{12} : \frac{5}{3}\\=\frac{1}{4} : \frac{5}{3}\\=\frac{1}{4} . \frac{3}{5}\\=\frac{1.3}{4.5}\\=\frac{3}{20}\)
8. \(\frac{5}{6} : \frac{3}{5}\\=\frac{5}{6} . \frac{5}{3}\\=\frac{5.5}{6.3}\\=\frac{25}{18}\)
9. \(\frac{11}{10} : \frac{5}{10}\\=\frac{11}{10} : \frac{1}{2}\\=\frac{11}{10} . \frac{2}{1}\\=\frac{11.2}{10.1}\\=\frac{22}{10}\\=\frac{11}{5}\)
10. \(\frac{2}{11} : \frac{4}{6}\\=\frac{2}{11} : \frac{2}{3}\\=\frac{2}{11} . \frac{3}{2}\\=\frac{2.3}{11.2}\\=\frac{6}{22}\\=\frac{3}{11}\)
11. \(\frac{10}{4} : \frac{9}{11}\\=\frac{5}{2} : \frac{9}{11}\\=\frac{5}{2} . \frac{11}{9}\\=\frac{5.11}{2.9}\\=\frac{55}{18}\)
12. \(\frac{10}{5} : \frac{9}{11}\\=\frac{2}{1} : \frac{9}{11}\\=\frac{2}{1} . \frac{11}{9}\\=\frac{2.11}{1.9}\\=\frac{22}{9}\)