Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{4}{8} : \frac{7}{6}\\=\frac{1}{2} : \frac{7}{6}\\=\frac{1}{2} . \frac{6}{7}\\=\frac{1.6}{2.7}\\=\frac{6}{14}\\=\frac{3}{7}\)
2. \(\frac{12}{10} : \frac{6}{8}\\=\frac{6}{5} : \frac{3}{4}\\=\frac{6}{5} . \frac{4}{3}\\=\frac{6.4}{5.3}\\=\frac{24}{15}\\=\frac{8}{5}\)
3. \(\frac{3}{12} : \frac{2}{14}\\=\frac{1}{4} : \frac{1}{7}\\=\frac{1}{4} . \frac{7}{1}\\=\frac{1.7}{4.1}\\=\frac{7}{4}\)
4. \(\frac{4}{2} : \frac{2}{9}\\=\frac{2}{1} : \frac{2}{9}\\=\frac{2}{1} . \frac{9}{2}\\=\frac{2.9}{1.2}\\=\frac{18}{2}\\=\frac{9}{1}= 9\)
5. \(\frac{6}{7} : \frac{4}{3}\\=\frac{6}{7} . \frac{3}{4}\\=\frac{6.3}{7.4}\\=\frac{18}{28}\\=\frac{9}{14}\)
6. \(\frac{9}{3} : \frac{4}{15}\\=\frac{3}{1} : \frac{4}{15}\\=\frac{3}{1} . \frac{15}{4}\\=\frac{3.15}{1.4}\\=\frac{45}{4}\)
7. \(\frac{4}{8} : \frac{10}{3}\\=\frac{1}{2} : \frac{10}{3}\\=\frac{1}{2} . \frac{3}{10}\\=\frac{1.3}{2.10}\\=\frac{3}{20}\)
8. \(\frac{7}{15} : \frac{2}{13}\\=\frac{7}{15} . \frac{13}{2}\\=\frac{7.13}{15.2}\\=\frac{91}{30}\)
9. \(\frac{12}{12} : \frac{9}{8}\\=\frac{1}{1} : \frac{9}{8}\\=\frac{1}{1} . \frac{8}{9}\\=\frac{1.8}{1.9}\\=\frac{8}{9}\)
10. \(\frac{10}{4} : \frac{5}{14}\\=\frac{5}{2} : \frac{5}{14}\\=\frac{5}{2} . \frac{14}{5}\\=\frac{5.14}{2.5}\\=\frac{70}{10}\\=\frac{7}{1}= 7\)
11. \(\frac{12}{8} : \frac{10}{4}\\=\frac{3}{2} : \frac{5}{2}\\=\frac{3}{2} . \frac{2}{5}\\=\frac{3.2}{2.5}\\=\frac{6}{10}\\=\frac{3}{5}\)
12. \(\frac{2}{5} : \frac{9}{8}\\=\frac{2}{5} . \frac{8}{9}\\=\frac{2.8}{5.9}\\=\frac{16}{45}\)