Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{11}{6} : \frac{4}{3}\\=\frac{11}{6} . \frac{3}{4}\\=\frac{11.3}{6.4}\\=\frac{33}{24}\\=\frac{11}{8}\)
2. \(\frac{9}{13} : \frac{2}{13}\\=\frac{9}{13} . \frac{13}{2}\\=\frac{9.13}{13.2}\\=\frac{117}{26}\\=\frac{9}{2}\)
3. \(\frac{8}{6} : \frac{5}{2}\\=\frac{4}{3} : \frac{5}{2}\\=\frac{4}{3} . \frac{2}{5}\\=\frac{4.2}{3.5}\\=\frac{8}{15}\)
4. \(\frac{6}{9} : \frac{12}{9}\\=\frac{2}{3} : \frac{4}{3}\\=\frac{2}{3} . \frac{3}{4}\\=\frac{2.3}{3.4}\\=\frac{6}{12}\\=\frac{1}{2}\)
5. \(\frac{11}{14} : \frac{11}{14}\\=\frac{11}{14} . \frac{14}{11}\\=\frac{11.14}{14.11}\\=\frac{154}{154}\\=\frac{1}{1}= 1\)
6. \(\frac{6}{8} : \frac{6}{11}\\=\frac{3}{4} : \frac{6}{11}\\=\frac{3}{4} . \frac{11}{6}\\=\frac{3.11}{4.6}\\=\frac{33}{24}\\=\frac{11}{8}\)
7. \(\frac{9}{7} : \frac{6}{4}\\=\frac{9}{7} : \frac{3}{2}\\=\frac{9}{7} . \frac{2}{3}\\=\frac{9.2}{7.3}\\=\frac{18}{21}\\=\frac{6}{7}\)
8. \(\frac{5}{12} : \frac{9}{10}\\=\frac{5}{12} . \frac{10}{9}\\=\frac{5.10}{12.9}\\=\frac{50}{108}\\=\frac{25}{54}\)
9. \(\frac{6}{8} : \frac{5}{7}\\=\frac{3}{4} : \frac{5}{7}\\=\frac{3}{4} . \frac{7}{5}\\=\frac{3.7}{4.5}\\=\frac{21}{20}\)
10. \(\frac{6}{6} : \frac{4}{12}\\=\frac{1}{1} : \frac{1}{3}\\=\frac{1}{1} . \frac{3}{1}\\=\frac{1.3}{1.1}\\=\frac{3}{1}= 3\)
11. \(\frac{9}{10} : \frac{11}{2}\\=\frac{9}{10} . \frac{2}{11}\\=\frac{9.2}{10.11}\\=\frac{18}{110}\\=\frac{9}{55}\)
12. \(\frac{4}{8} : \frac{12}{9}\\=\frac{1}{2} : \frac{4}{3}\\=\frac{1}{2} . \frac{3}{4}\\=\frac{1.3}{2.4}\\=\frac{3}{8}\)