Breuken delen (reeks 1)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{5}{13} : \frac{7}{2}\\=\frac{5}{13} . \frac{2}{7}\\=\frac{5.2}{13.7}\\=\frac{10}{91}\)
2. \(\frac{9}{5} : \frac{4}{2}\\=\frac{9}{5} : \frac{2}{1}\\=\frac{9}{5} . \frac{1}{2}\\=\frac{9.1}{5.2}\\=\frac{9}{10}\)
3. \(\frac{11}{12} : \frac{2}{5}\\=\frac{11}{12} . \frac{5}{2}\\=\frac{11.5}{12.2}\\=\frac{55}{24}\)
4. \(\frac{6}{4} : \frac{2}{9}\\=\frac{3}{2} : \frac{2}{9}\\=\frac{3}{2} . \frac{9}{2}\\=\frac{3.9}{2.2}\\=\frac{27}{4}\)
5. \(\frac{10}{11} : \frac{3}{14}\\=\frac{10}{11} . \frac{14}{3}\\=\frac{10.14}{11.3}\\=\frac{140}{33}\)
6. \(\frac{12}{13} : \frac{10}{14}\\=\frac{12}{13} : \frac{5}{7}\\=\frac{12}{13} . \frac{7}{5}\\=\frac{12.7}{13.5}\\=\frac{84}{65}\)
7. \(\frac{4}{9} : \frac{4}{4}\\=\frac{4}{9} : \frac{1}{1}\\=\frac{4}{9} . \frac{1}{1}\\=\frac{4.1}{9.1}\\=\frac{4}{9}\)
8. \(\frac{12}{7} : \frac{10}{14}\\=\frac{12}{7} : \frac{5}{7}\\=\frac{12}{7} . \frac{7}{5}\\=\frac{12.7}{7.5}\\=\frac{84}{35}\\=\frac{12}{5}\)
9. \(\frac{12}{12} : \frac{5}{10}\\=\frac{1}{1} : \frac{1}{2}\\=\frac{1}{1} . \frac{2}{1}\\=\frac{1.2}{1.1}\\=\frac{2}{1}= 2\)
10. \(\frac{4}{7} : \frac{2}{12}\\=\frac{4}{7} : \frac{1}{6}\\=\frac{4}{7} . \frac{6}{1}\\=\frac{4.6}{7.1}\\=\frac{24}{7}\)
11. \(\frac{3}{4} : \frac{6}{6}\\=\frac{3}{4} : \frac{1}{1}\\=\frac{3}{4} . \frac{1}{1}\\=\frac{3.1}{4.1}\\=\frac{3}{4}\)
12. \(\frac{3}{2} : \frac{2}{15}\\=\frac{3}{2} . \frac{15}{2}\\=\frac{3.15}{2.2}\\=\frac{45}{4}\)