Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{4}{13} : \frac{6}{9}\\=\frac{4}{13} : \frac{2}{3}\\=\frac{4}{13} . \frac{3}{2}\\=\frac{4.3}{13.2}\\=\frac{12}{26}\\=\frac{6}{13}\)
2. \(\frac{3}{6} : \frac{6}{10}\\=\frac{1}{2} : \frac{3}{5}\\=\frac{1}{2} . \frac{5}{3}\\=\frac{1.5}{2.3}\\=\frac{5}{6}\)
3. \(\frac{6}{8} : \frac{5}{4}\\=\frac{3}{4} : \frac{5}{4}\\=\frac{3}{4} . \frac{4}{5}\\=\frac{3.4}{4.5}\\=\frac{12}{20}\\=\frac{3}{5}\)
4. \(\frac{11}{2} : \frac{11}{10}\\=\frac{11}{2} . \frac{10}{11}\\=\frac{11.10}{2.11}\\=\frac{110}{22}\\=\frac{5}{1}= 5\)
5. \(\frac{11}{11} : \frac{10}{6}\\=\frac{1}{1} : \frac{5}{3}\\=\frac{1}{1} . \frac{3}{5}\\=\frac{1.3}{1.5}\\=\frac{3}{5}\)
6. \(\frac{3}{14} : \frac{7}{11}\\=\frac{3}{14} . \frac{11}{7}\\=\frac{3.11}{14.7}\\=\frac{33}{98}\)
7. \(\frac{7}{5} : \frac{9}{11}\\=\frac{7}{5} . \frac{11}{9}\\=\frac{7.11}{5.9}\\=\frac{77}{45}\)
8. \(\frac{12}{7} : \frac{5}{14}\\=\frac{12}{7} . \frac{14}{5}\\=\frac{12.14}{7.5}\\=\frac{168}{35}\\=\frac{24}{5}\)
9. \(\frac{4}{14} : \frac{10}{7}\\=\frac{2}{7} : \frac{10}{7}\\=\frac{2}{7} . \frac{7}{10}\\=\frac{2.7}{7.10}\\=\frac{14}{70}\\=\frac{1}{5}\)
10. \(\frac{5}{6} : \frac{10}{12}\\=\frac{5}{6} : \frac{5}{6}\\=\frac{5}{6} . \frac{6}{5}\\=\frac{5.6}{6.5}\\=\frac{30}{30}\\=\frac{1}{1}= 1\)
11. \(\frac{9}{13} : \frac{8}{6}\\=\frac{9}{13} : \frac{4}{3}\\=\frac{9}{13} . \frac{3}{4}\\=\frac{9.3}{13.4}\\=\frac{27}{52}\)
12. \(\frac{10}{10} : \frac{9}{3}\\=\frac{1}{1} : \frac{3}{1}\\=\frac{1}{1} . \frac{1}{3}\\=\frac{1.1}{1.3}\\=\frac{1}{3}\)