Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{3}{9} : \frac{12}{13}\\=\frac{1}{3} : \frac{12}{13}\\=\frac{1}{3} . \frac{13}{12}\\=\frac{1.13}{3.12}\\=\frac{13}{36}\)
2. \(\frac{6}{11} : \frac{5}{6}\\=\frac{6}{11} . \frac{6}{5}\\=\frac{6.6}{11.5}\\=\frac{36}{55}\)
3. \(\frac{7}{5} : \frac{3}{7}\\=\frac{7}{5} . \frac{7}{3}\\=\frac{7.7}{5.3}\\=\frac{49}{15}\)
4. \(\frac{10}{13} : \frac{9}{4}\\=\frac{10}{13} . \frac{4}{9}\\=\frac{10.4}{13.9}\\=\frac{40}{117}\)
5. \(\frac{8}{3} : \frac{3}{10}\\=\frac{8}{3} . \frac{10}{3}\\=\frac{8.10}{3.3}\\=\frac{80}{9}\)
6. \(\frac{8}{4} : \frac{8}{14}\\=\frac{2}{1} : \frac{4}{7}\\=\frac{2}{1} . \frac{7}{4}\\=\frac{2.7}{1.4}\\=\frac{14}{4}\\=\frac{7}{2}\)
7. \(\frac{3}{7} : \frac{12}{4}\\=\frac{3}{7} : \frac{3}{1}\\=\frac{3}{7} . \frac{1}{3}\\=\frac{3.1}{7.3}\\=\frac{3}{21}\\=\frac{1}{7}\)
8. \(\frac{10}{9} : \frac{11}{14}\\=\frac{10}{9} . \frac{14}{11}\\=\frac{10.14}{9.11}\\=\frac{140}{99}\)
9. \(\frac{12}{12} : \frac{10}{14}\\=\frac{1}{1} : \frac{5}{7}\\=\frac{1}{1} . \frac{7}{5}\\=\frac{1.7}{1.5}\\=\frac{7}{5}\)
10. \(\frac{10}{2} : \frac{12}{12}\\=\frac{5}{1} : \frac{1}{1}\\=\frac{5}{1} . \frac{1}{1}\\=\frac{5.1}{1.1}\\=\frac{5}{1}= 5\)
11. \(\frac{7}{11} : \frac{2}{4}\\=\frac{7}{11} : \frac{1}{2}\\=\frac{7}{11} . \frac{2}{1}\\=\frac{7.2}{11.1}\\=\frac{14}{11}\)
12. \(\frac{3}{15} : \frac{10}{6}\\=\frac{1}{5} : \frac{5}{3}\\=\frac{1}{5} . \frac{3}{5}\\=\frac{1.3}{5.5}\\=\frac{3}{25}\)