Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

---

Deel de breuken

Verbetersleutel

1. \(\frac{12}{7} : \frac{10}{3}\\=\frac{12}{7} . \frac{3}{10}\\=\frac{12.3}{7.10}\\=\frac{36}{70}\\=\frac{18}{35}\)
2. \(\frac{11}{6} : \frac{4}{4}\\=\frac{11}{6} : \frac{1}{1}\\=\frac{11}{6} . \frac{1}{1}\\=\frac{11.1}{6.1}\\=\frac{11}{6}\)
3. \(\frac{6}{4} : \frac{4}{14}\\=\frac{3}{2} : \frac{2}{7}\\=\frac{3}{2} . \frac{7}{2}\\=\frac{3.7}{2.2}\\=\frac{21}{4}\)
4. \(\frac{7}{2} : \frac{12}{11}\\=\frac{7}{2} . \frac{11}{12}\\=\frac{7.11}{2.12}\\=\frac{77}{24}\)
5. \(\frac{9}{9} : \frac{5}{9}\\=\frac{1}{1} : \frac{5}{9}\\=\frac{1}{1} . \frac{9}{5}\\=\frac{1.9}{1.5}\\=\frac{9}{5}\)
6. \(\frac{10}{14} : \frac{4}{12}\\=\frac{5}{7} : \frac{1}{3}\\=\frac{5}{7} . \frac{3}{1}\\=\frac{5.3}{7.1}\\=\frac{15}{7}\)
7. \(\frac{4}{8} : \frac{9}{9}\\=\frac{1}{2} : \frac{1}{1}\\=\frac{1}{2} . \frac{1}{1}\\=\frac{1.1}{2.1}\\=\frac{1}{2}\)
8. \(\frac{4}{13} : \frac{4}{9}\\=\frac{4}{13} . \frac{9}{4}\\=\frac{4.9}{13.4}\\=\frac{36}{52}\\=\frac{9}{13}\)
9. \(\frac{12}{5} : \frac{2}{7}\\=\frac{12}{5} . \frac{7}{2}\\=\frac{12.7}{5.2}\\=\frac{84}{10}\\=\frac{42}{5}\)
10. \(\frac{10}{3} : \frac{8}{4}\\=\frac{10}{3} : \frac{2}{1}\\=\frac{10}{3} . \frac{1}{2}\\=\frac{10.1}{3.2}\\=\frac{10}{6}\\=\frac{5}{3}\)
11. \(\frac{12}{10} : \frac{5}{8}\\=\frac{6}{5} : \frac{5}{8}\\=\frac{6}{5} . \frac{8}{5}\\=\frac{6.8}{5.5}\\=\frac{48}{25}\)
12. \(\frac{12}{3} : \frac{11}{11}\\=\frac{4}{1} : \frac{1}{1}\\=\frac{4}{1} . \frac{1}{1}\\=\frac{4.1}{1.1}\\=\frac{4}{1}= 4\)