Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{8}{9} : \frac{3}{12}\\=\frac{8}{9} : \frac{1}{4}\\=\frac{8}{9} . \frac{4}{1}\\=\frac{8.4}{9.1}\\=\frac{32}{9}\)
2. \(\frac{6}{11} : \frac{2}{10}\\=\frac{6}{11} : \frac{1}{5}\\=\frac{6}{11} . \frac{5}{1}\\=\frac{6.5}{11.1}\\=\frac{30}{11}\)
3. \(\frac{2}{13} : \frac{2}{2}\\=\frac{2}{13} : \frac{1}{1}\\=\frac{2}{13} . \frac{1}{1}\\=\frac{2.1}{13.1}\\=\frac{2}{13}\)
4. \(\frac{12}{3} : \frac{2}{11}\\=\frac{4}{1} : \frac{2}{11}\\=\frac{4}{1} . \frac{11}{2}\\=\frac{4.11}{1.2}\\=\frac{44}{2}\\=\frac{22}{1}= 22\)
5. \(\frac{6}{5} : \frac{7}{15}\\=\frac{6}{5} . \frac{15}{7}\\=\frac{6.15}{5.7}\\=\frac{90}{35}\\=\frac{18}{7}\)
6. \(\frac{5}{15} : \frac{9}{4}\\=\frac{1}{3} : \frac{9}{4}\\=\frac{1}{3} . \frac{4}{9}\\=\frac{1.4}{3.9}\\=\frac{4}{27}\)
7. \(\frac{12}{10} : \frac{2}{5}\\=\frac{6}{5} : \frac{2}{5}\\=\frac{6}{5} . \frac{5}{2}\\=\frac{6.5}{5.2}\\=\frac{30}{10}\\=\frac{3}{1}= 3\)
8. \(\frac{7}{9} : \frac{8}{12}\\=\frac{7}{9} : \frac{2}{3}\\=\frac{7}{9} . \frac{3}{2}\\=\frac{7.3}{9.2}\\=\frac{21}{18}\\=\frac{7}{6}\)
9. \(\frac{11}{15} : \frac{3}{8}\\=\frac{11}{15} . \frac{8}{3}\\=\frac{11.8}{15.3}\\=\frac{88}{45}\)
10. \(\frac{9}{9} : \frac{4}{15}\\=\frac{1}{1} : \frac{4}{15}\\=\frac{1}{1} . \frac{15}{4}\\=\frac{1.15}{1.4}\\=\frac{15}{4}\)
11. \(\frac{2}{3} : \frac{4}{13}\\=\frac{2}{3} . \frac{13}{4}\\=\frac{2.13}{3.4}\\=\frac{26}{12}\\=\frac{13}{6}\)
12. \(\frac{4}{8} : \frac{5}{10}\\=\frac{1}{2} : \frac{1}{2}\\=\frac{1}{2} . \frac{2}{1}\\=\frac{1.2}{2.1}\\=\frac{2}{2}\\=\frac{1}{1}= 1\)