Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{11}{11} : \frac{6}{10}\\=\frac{1}{1} : \frac{3}{5}\\=\frac{1}{1} . \frac{5}{3}\\=\frac{1.5}{1.3}\\=\frac{5}{3}\)
2. \(\frac{11}{2} : \frac{2}{3}\\=\frac{11}{2} . \frac{3}{2}\\=\frac{11.3}{2.2}\\=\frac{33}{4}\)
3. \(\frac{6}{10} : \frac{8}{12}\\=\frac{3}{5} : \frac{2}{3}\\=\frac{3}{5} . \frac{3}{2}\\=\frac{3.3}{5.2}\\=\frac{9}{10}\)
4. \(\frac{11}{7} : \frac{7}{2}\\=\frac{11}{7} . \frac{2}{7}\\=\frac{11.2}{7.7}\\=\frac{22}{49}\)
5. \(\frac{2}{2} : \frac{8}{12}\\=\frac{1}{1} : \frac{2}{3}\\=\frac{1}{1} . \frac{3}{2}\\=\frac{1.3}{1.2}\\=\frac{3}{2}\)
6. \(\frac{4}{12} : \frac{5}{7}\\=\frac{1}{3} : \frac{5}{7}\\=\frac{1}{3} . \frac{7}{5}\\=\frac{1.7}{3.5}\\=\frac{7}{15}\)
7. \(\frac{11}{5} : \frac{9}{15}\\=\frac{11}{5} : \frac{3}{5}\\=\frac{11}{5} . \frac{5}{3}\\=\frac{11.5}{5.3}\\=\frac{55}{15}\\=\frac{11}{3}\)
8. \(\frac{9}{15} : \frac{6}{8}\\=\frac{3}{5} : \frac{3}{4}\\=\frac{3}{5} . \frac{4}{3}\\=\frac{3.4}{5.3}\\=\frac{12}{15}\\=\frac{4}{5}\)
9. \(\frac{12}{15} : \frac{2}{7}\\=\frac{4}{5} : \frac{2}{7}\\=\frac{4}{5} . \frac{7}{2}\\=\frac{4.7}{5.2}\\=\frac{28}{10}\\=\frac{14}{5}\)
10. \(\frac{8}{3} : \frac{4}{10}\\=\frac{8}{3} : \frac{2}{5}\\=\frac{8}{3} . \frac{5}{2}\\=\frac{8.5}{3.2}\\=\frac{40}{6}\\=\frac{20}{3}\)
11. \(\frac{7}{9} : \frac{5}{2}\\=\frac{7}{9} . \frac{2}{5}\\=\frac{7.2}{9.5}\\=\frac{14}{45}\)
12. \(\frac{12}{2} : \frac{12}{11}\\=\frac{6}{1} : \frac{12}{11}\\=\frac{6}{1} . \frac{11}{12}\\=\frac{6.11}{1.12}\\=\frac{66}{12}\\=\frac{11}{2}\)