Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{9}{9} : \frac{7}{6}\\=\frac{1}{1} : \frac{7}{6}\\=\frac{1}{1} . \frac{6}{7}\\=\frac{1.6}{1.7}\\=\frac{6}{7}\)
2. \(\frac{10}{3} : \frac{10}{12}\\=\frac{10}{3} : \frac{5}{6}\\=\frac{10}{3} . \frac{6}{5}\\=\frac{10.6}{3.5}\\=\frac{60}{15}\\=\frac{4}{1}= 4\)
3. \(\frac{2}{10} : \frac{6}{9}\\=\frac{1}{5} : \frac{2}{3}\\=\frac{1}{5} . \frac{3}{2}\\=\frac{1.3}{5.2}\\=\frac{3}{10}\)
4. \(\frac{3}{2} : \frac{4}{7}\\=\frac{3}{2} . \frac{7}{4}\\=\frac{3.7}{2.4}\\=\frac{21}{8}\)
5. \(\frac{5}{9} : \frac{6}{7}\\=\frac{5}{9} . \frac{7}{6}\\=\frac{5.7}{9.6}\\=\frac{35}{54}\)
6. \(\frac{5}{5} : \frac{7}{4}\\=\frac{1}{1} : \frac{7}{4}\\=\frac{1}{1} . \frac{4}{7}\\=\frac{1.4}{1.7}\\=\frac{4}{7}\)
7. \(\frac{4}{15} : \frac{8}{4}\\=\frac{4}{15} : \frac{2}{1}\\=\frac{4}{15} . \frac{1}{2}\\=\frac{4.1}{15.2}\\=\frac{4}{30}\\=\frac{2}{15}\)
8. \(\frac{7}{4} : \frac{7}{3}\\=\frac{7}{4} . \frac{3}{7}\\=\frac{7.3}{4.7}\\=\frac{21}{28}\\=\frac{3}{4}\)
9. \(\frac{5}{14} : \frac{3}{11}\\=\frac{5}{14} . \frac{11}{3}\\=\frac{5.11}{14.3}\\=\frac{55}{42}\)
10. \(\frac{5}{15} : \frac{10}{14}\\=\frac{1}{3} : \frac{5}{7}\\=\frac{1}{3} . \frac{7}{5}\\=\frac{1.7}{3.5}\\=\frac{7}{15}\)
11. \(\frac{12}{2} : \frac{4}{3}\\=\frac{6}{1} : \frac{4}{3}\\=\frac{6}{1} . \frac{3}{4}\\=\frac{6.3}{1.4}\\=\frac{18}{4}\\=\frac{9}{2}\)
12. \(\frac{7}{12} : \frac{3}{7}\\=\frac{7}{12} . \frac{7}{3}\\=\frac{7.7}{12.3}\\=\frac{49}{36}\)