Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{12}{12} : \frac{11}{3}\\=\frac{1}{1} : \frac{11}{3}\\=\frac{1}{1} . \frac{3}{11}\\=\frac{1.3}{1.11}\\=\frac{3}{11}\)
2. \(\frac{2}{4} : \frac{8}{14}\\=\frac{1}{2} : \frac{4}{7}\\=\frac{1}{2} . \frac{7}{4}\\=\frac{1.7}{2.4}\\=\frac{7}{8}\)
3. \(\frac{12}{7} : \frac{10}{15}\\=\frac{12}{7} : \frac{2}{3}\\=\frac{12}{7} . \frac{3}{2}\\=\frac{12.3}{7.2}\\=\frac{36}{14}\\=\frac{18}{7}\)
4. \(\frac{4}{5} : \frac{12}{10}\\=\frac{4}{5} : \frac{6}{5}\\=\frac{4}{5} . \frac{5}{6}\\=\frac{4.5}{5.6}\\=\frac{20}{30}\\=\frac{2}{3}\)
5. \(\frac{7}{10} : \frac{5}{8}\\=\frac{7}{10} . \frac{8}{5}\\=\frac{7.8}{10.5}\\=\frac{56}{50}\\=\frac{28}{25}\)
6. \(\frac{7}{15} : \frac{6}{7}\\=\frac{7}{15} . \frac{7}{6}\\=\frac{7.7}{15.6}\\=\frac{49}{90}\)
7. \(\frac{11}{15} : \frac{3}{10}\\=\frac{11}{15} . \frac{10}{3}\\=\frac{11.10}{15.3}\\=\frac{110}{45}\\=\frac{22}{9}\)
8. \(\frac{11}{7} : \frac{11}{12}\\=\frac{11}{7} . \frac{12}{11}\\=\frac{11.12}{7.11}\\=\frac{132}{77}\\=\frac{12}{7}\)
9. \(\frac{3}{5} : \frac{5}{14}\\=\frac{3}{5} . \frac{14}{5}\\=\frac{3.14}{5.5}\\=\frac{42}{25}\)
10. \(\frac{2}{4} : \frac{6}{15}\\=\frac{1}{2} : \frac{2}{5}\\=\frac{1}{2} . \frac{5}{2}\\=\frac{1.5}{2.2}\\=\frac{5}{4}\)
11. \(\frac{11}{2} : \frac{3}{8}\\=\frac{11}{2} . \frac{8}{3}\\=\frac{11.8}{2.3}\\=\frac{88}{6}\\=\frac{44}{3}\)
12. \(\frac{12}{11} : \frac{10}{11}\\=\frac{12}{11} . \frac{11}{10}\\=\frac{12.11}{11.10}\\=\frac{132}{110}\\=\frac{6}{5}\)