Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{2}{11} : \frac{3}{5}\\=\frac{2}{11} . \frac{5}{3}\\=\frac{2.5}{11.3}\\=\frac{10}{33}\)
2. \(\frac{4}{15} : \frac{7}{12}\\=\frac{4}{15} . \frac{12}{7}\\=\frac{4.12}{15.7}\\=\frac{48}{105}\\=\frac{16}{35}\)
3. \(\frac{7}{2} : \frac{3}{7}\\=\frac{7}{2} . \frac{7}{3}\\=\frac{7.7}{2.3}\\=\frac{49}{6}\)
4. \(\frac{10}{10} : \frac{11}{11}\\=\frac{1}{1} : \frac{1}{1}\\=\frac{1}{1} . \frac{1}{1}\\=\frac{1.1}{1.1}\\=\frac{1}{1}= 1\)
5. \(\frac{7}{9} : \frac{10}{12}\\=\frac{7}{9} : \frac{5}{6}\\=\frac{7}{9} . \frac{6}{5}\\=\frac{7.6}{9.5}\\=\frac{42}{45}\\=\frac{14}{15}\)
6. \(\frac{11}{15} : \frac{4}{15}\\=\frac{11}{15} . \frac{15}{4}\\=\frac{11.15}{15.4}\\=\frac{165}{60}\\=\frac{11}{4}\)
7. \(\frac{9}{7} : \frac{2}{14}\\=\frac{9}{7} : \frac{1}{7}\\=\frac{9}{7} . \frac{7}{1}\\=\frac{9.7}{7.1}\\=\frac{63}{7}\\=\frac{9}{1}= 9\)
8. \(\frac{4}{4} : \frac{2}{10}\\=\frac{1}{1} : \frac{1}{5}\\=\frac{1}{1} . \frac{5}{1}\\=\frac{1.5}{1.1}\\=\frac{5}{1}= 5\)
9. \(\frac{5}{4} : \frac{8}{3}\\=\frac{5}{4} . \frac{3}{8}\\=\frac{5.3}{4.8}\\=\frac{15}{32}\)
10. \(\frac{6}{5} : \frac{7}{15}\\=\frac{6}{5} . \frac{15}{7}\\=\frac{6.15}{5.7}\\=\frac{90}{35}\\=\frac{18}{7}\)
11. \(\frac{11}{6} : \frac{5}{6}\\=\frac{11}{6} . \frac{6}{5}\\=\frac{11.6}{6.5}\\=\frac{66}{30}\\=\frac{11}{5}\)
12. \(\frac{9}{10} : \frac{8}{14}\\=\frac{9}{10} : \frac{4}{7}\\=\frac{9}{10} . \frac{7}{4}\\=\frac{9.7}{10.4}\\=\frac{63}{40}\)