Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{7}{9} : \frac{12}{13}\\=\frac{7}{9} . \frac{13}{12}\\=\frac{7.13}{9.12}\\=\frac{91}{108}\)
2. \(\frac{6}{5} : \frac{6}{3}\\=\frac{6}{5} : \frac{2}{1}\\=\frac{6}{5} . \frac{1}{2}\\=\frac{6.1}{5.2}\\=\frac{6}{10}\\=\frac{3}{5}\)
3. \(\frac{8}{5} : \frac{5}{14}\\=\frac{8}{5} . \frac{14}{5}\\=\frac{8.14}{5.5}\\=\frac{112}{25}\)
4. \(\frac{10}{10} : \frac{6}{10}\\=\frac{1}{1} : \frac{3}{5}\\=\frac{1}{1} . \frac{5}{3}\\=\frac{1.5}{1.3}\\=\frac{5}{3}\)
5. \(\frac{6}{10} : \frac{4}{9}\\=\frac{3}{5} : \frac{4}{9}\\=\frac{3}{5} . \frac{9}{4}\\=\frac{3.9}{5.4}\\=\frac{27}{20}\)
6. \(\frac{10}{14} : \frac{3}{7}\\=\frac{5}{7} : \frac{3}{7}\\=\frac{5}{7} . \frac{7}{3}\\=\frac{5.7}{7.3}\\=\frac{35}{21}\\=\frac{5}{3}\)
7. \(\frac{12}{12} : \frac{12}{6}\\=\frac{1}{1} : \frac{2}{1}\\=\frac{1}{1} . \frac{1}{2}\\=\frac{1.1}{1.2}\\=\frac{1}{2}\)
8. \(\frac{3}{6} : \frac{10}{10}\\=\frac{1}{2} : \frac{1}{1}\\=\frac{1}{2} . \frac{1}{1}\\=\frac{1.1}{2.1}\\=\frac{1}{2}\)
9. \(\frac{10}{7} : \frac{4}{12}\\=\frac{10}{7} : \frac{1}{3}\\=\frac{10}{7} . \frac{3}{1}\\=\frac{10.3}{7.1}\\=\frac{30}{7}\)
10. \(\frac{3}{11} : \frac{4}{4}\\=\frac{3}{11} : \frac{1}{1}\\=\frac{3}{11} . \frac{1}{1}\\=\frac{3.1}{11.1}\\=\frac{3}{11}\)
11. \(\frac{7}{10} : \frac{8}{5}\\=\frac{7}{10} . \frac{5}{8}\\=\frac{7.5}{10.8}\\=\frac{35}{80}\\=\frac{7}{16}\)
12. \(\frac{12}{7} : \frac{12}{5}\\=\frac{12}{7} . \frac{5}{12}\\=\frac{12.5}{7.12}\\=\frac{60}{84}\\=\frac{5}{7}\)