Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{6}{-10} : \left(\frac{-5}{-7}\right)\\=-\frac{3}{5} : \frac{5}{7}\\=-\frac{3}{5} . \frac{7}{5}\\=-\frac{3.7}{5.5}\\=-\frac{21}{25}\)
2. \(\frac{6}{-13} : \left(\frac{-5}{-3}\right)\\=-\frac{6}{13} . \frac{3}{5}\\=-\frac{6.3}{13.5}\\=-\frac{18}{65}\)
3. \(\frac{12}{-2} : \left(\frac{2}{-14}\right)\\=+\frac{6}{1} : \frac{1}{7}\\=+\frac{6}{1} . \frac{7}{1}\\=\frac{6.7}{1.1}\\=\frac{42}{1}= 42\)
4. \(\frac{-11}{9} : \left(\frac{-12}{3}\right)\\=+\frac{11}{9} : \frac{4}{1}\\=+\frac{11}{9} . \frac{1}{4}\\=\frac{11.1}{9.4}\\=\frac{11}{36}\)
5. \(\frac{2}{8} : \left(\frac{-12}{12}\right)\\=-\frac{1}{4} : \frac{1}{1}\\=-\frac{1}{4} . \frac{1}{1}\\=-\frac{1.1}{4.1}\\=-\frac{1}{4}\)
6. \(\frac{8}{-4} : \left(\frac{-2}{10}\right)\\=+\frac{2}{1} : \frac{1}{5}\\=+\frac{2}{1} . \frac{5}{1}\\=\frac{2.5}{1.1}\\=\frac{10}{1}= 10\)
7. \(\frac{8}{-13} : \frac{9}{7}\\=-\frac{8}{13} . \frac{7}{9}\\=-\frac{8.7}{13.9}\\=-\frac{56}{117}\)
8. \(\frac{-4}{-13} : \left(\frac{-7}{-6}\right)\\=+\frac{4}{13} . \frac{6}{7}\\=\frac{4.6}{13.7}\\=\frac{24}{91}\)
9. \(\frac{-10}{14} : \left(\frac{2}{-13}\right)\\=+\frac{5}{7} : \frac{2}{13}\\=+\frac{5}{7} . \frac{13}{2}\\=\frac{5.13}{7.2}\\=\frac{65}{14}\)
10. \(\frac{-4}{-8} : \left(\frac{8}{-8}\right)\\=-\frac{1}{2} : \frac{1}{1}\\=-\frac{1}{2} . \frac{1}{1}\\=-\frac{1.1}{2.1}\\=-\frac{1}{2}\)
11. \(\frac{12}{-15} : \left(\frac{-4}{13}\right)\\=+\frac{4}{5} : \frac{4}{13}\\=+\frac{4}{5} . \frac{13}{4}\\=\frac{4.13}{5.4}\\=\frac{52}{20}\\=\frac{13}{5}\)
12. \(\frac{9}{13} : \frac{7}{12}\\=+\frac{9}{13} . \frac{12}{7}\\=\frac{9.12}{13.7}\\=\frac{108}{91}\)