Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{10}{13} : \frac{5}{14}\\=\frac{10}{13} . \frac{14}{5}\\=\frac{10.14}{13.5}\\=\frac{140}{65}\\=\frac{28}{13}\)
2. \(\frac{3}{4} : \frac{11}{9}\\=\frac{3}{4} . \frac{9}{11}\\=\frac{3.9}{4.11}\\=\frac{27}{44}\)
3. \(\frac{7}{2} : \frac{5}{5}\\=\frac{7}{2} : \frac{1}{1}\\=\frac{7}{2} . \frac{1}{1}\\=\frac{7.1}{2.1}\\=\frac{7}{2}\)
4. \(\frac{12}{4} : \frac{11}{5}\\=\frac{3}{1} : \frac{11}{5}\\=\frac{3}{1} . \frac{5}{11}\\=\frac{3.5}{1.11}\\=\frac{15}{11}\)
5. \(\frac{4}{2} : \frac{5}{3}\\=\frac{2}{1} : \frac{5}{3}\\=\frac{2}{1} . \frac{3}{5}\\=\frac{2.3}{1.5}\\=\frac{6}{5}\)
6. \(\frac{2}{8} : \frac{10}{13}\\=\frac{1}{4} : \frac{10}{13}\\=\frac{1}{4} . \frac{13}{10}\\=\frac{1.13}{4.10}\\=\frac{13}{40}\)
7. \(\frac{4}{15} : \frac{12}{12}\\=\frac{4}{15} : \frac{1}{1}\\=\frac{4}{15} . \frac{1}{1}\\=\frac{4.1}{15.1}\\=\frac{4}{15}\)
8. \(\frac{7}{13} : \frac{7}{12}\\=\frac{7}{13} . \frac{12}{7}\\=\frac{7.12}{13.7}\\=\frac{84}{91}\\=\frac{12}{13}\)
9. \(\frac{3}{6} : \frac{9}{8}\\=\frac{1}{2} : \frac{9}{8}\\=\frac{1}{2} . \frac{8}{9}\\=\frac{1.8}{2.9}\\=\frac{8}{18}\\=\frac{4}{9}\)
10. \(\frac{9}{8} : \frac{5}{8}\\=\frac{9}{8} . \frac{8}{5}\\=\frac{9.8}{8.5}\\=\frac{72}{40}\\=\frac{9}{5}\)
11. \(\frac{9}{7} : \frac{6}{2}\\=\frac{9}{7} : \frac{3}{1}\\=\frac{9}{7} . \frac{1}{3}\\=\frac{9.1}{7.3}\\=\frac{9}{21}\\=\frac{3}{7}\)
12. \(\frac{5}{12} : \frac{11}{2}\\=\frac{5}{12} . \frac{2}{11}\\=\frac{5.2}{12.11}\\=\frac{10}{132}\\=\frac{5}{66}\)