Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{6}{10} : \frac{5}{14}\\=\frac{3}{5} : \frac{5}{14}\\=\frac{3}{5} . \frac{14}{5}\\=\frac{3.14}{5.5}\\=\frac{42}{25}\)
2. \(\frac{11}{6} : \frac{6}{11}\\=\frac{11}{6} . \frac{11}{6}\\=\frac{11.11}{6.6}\\=\frac{121}{36}\)
3. \(\frac{12}{8} : \frac{11}{11}\\=\frac{3}{2} : \frac{1}{1}\\=\frac{3}{2} . \frac{1}{1}\\=\frac{3.1}{2.1}\\=\frac{3}{2}\)
4. \(\frac{6}{13} : \frac{5}{14}\\=\frac{6}{13} . \frac{14}{5}\\=\frac{6.14}{13.5}\\=\frac{84}{65}\)
5. \(\frac{10}{3} : \frac{12}{10}\\=\frac{10}{3} : \frac{6}{5}\\=\frac{10}{3} . \frac{5}{6}\\=\frac{10.5}{3.6}\\=\frac{50}{18}\\=\frac{25}{9}\)
6. \(\frac{5}{11} : \frac{4}{8}\\=\frac{5}{11} : \frac{1}{2}\\=\frac{5}{11} . \frac{2}{1}\\=\frac{5.2}{11.1}\\=\frac{10}{11}\)
7. \(\frac{7}{4} : \frac{2}{11}\\=\frac{7}{4} . \frac{11}{2}\\=\frac{7.11}{4.2}\\=\frac{77}{8}\)
8. \(\frac{6}{11} : \frac{3}{12}\\=\frac{6}{11} : \frac{1}{4}\\=\frac{6}{11} . \frac{4}{1}\\=\frac{6.4}{11.1}\\=\frac{24}{11}\)
9. \(\frac{5}{5} : \frac{9}{13}\\=\frac{1}{1} : \frac{9}{13}\\=\frac{1}{1} . \frac{13}{9}\\=\frac{1.13}{1.9}\\=\frac{13}{9}\)
10. \(\frac{11}{9} : \frac{11}{10}\\=\frac{11}{9} . \frac{10}{11}\\=\frac{11.10}{9.11}\\=\frac{110}{99}\\=\frac{10}{9}\)
11. \(\frac{12}{11} : \frac{12}{2}\\=\frac{12}{11} : \frac{6}{1}\\=\frac{12}{11} . \frac{1}{6}\\=\frac{12.1}{11.6}\\=\frac{12}{66}\\=\frac{2}{11}\)
12. \(\frac{2}{7} : \frac{11}{8}\\=\frac{2}{7} . \frac{8}{11}\\=\frac{2.8}{7.11}\\=\frac{16}{77}\)