Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-4}{9} : \left(\frac{11}{-7}\right)\\=+\frac{4}{9} . \frac{7}{11}\\=\frac{4.7}{9.11}\\=\frac{28}{99}\)
2. \(\frac{12}{-14} : \frac{7}{4}\\=-\frac{6}{7} : \frac{7}{4}\\=-\frac{6}{7} . \frac{4}{7}\\=-\frac{6.4}{7.7}\\=-\frac{24}{49}\)
3. \(\frac{-5}{13} : \frac{3}{2}\\=-\frac{5}{13} . \frac{2}{3}\\=-\frac{5.2}{13.3}\\=-\frac{10}{39}\)
4. \(\frac{2}{6} : \left(\frac{2}{-8}\right)\\=-\frac{1}{3} : \frac{1}{4}\\=-\frac{1}{3} . \frac{4}{1}\\=-\frac{1.4}{3.1}\\=-\frac{4}{3}\)
5. \(\frac{12}{7} : \left(\frac{11}{-14}\right)\\=-\frac{12}{7} . \frac{14}{11}\\=-\frac{12.14}{7.11}\\=-\frac{168}{77}\\=-\frac{24}{11}\)
6. \(\frac{-3}{9} : \left(\frac{-7}{6}\right)\\=+\frac{1}{3} : \frac{7}{6}\\=+\frac{1}{3} . \frac{6}{7}\\=\frac{1.6}{3.7}\\=\frac{6}{21}\\=\frac{2}{7}\)
7. \(\frac{5}{14} : \frac{6}{2}\\=+\frac{5}{14} : \frac{3}{1}\\=+\frac{5}{14} . \frac{1}{3}\\=\frac{5.1}{14.3}\\=\frac{5}{42}\)
8. \(\frac{-9}{-13} : \left(\frac{-10}{-4}\right)\\=+\frac{9}{13} : \frac{5}{2}\\=+\frac{9}{13} . \frac{2}{5}\\=\frac{9.2}{13.5}\\=\frac{18}{65}\)
9. \(\frac{7}{-3} : \left(\frac{8}{-2}\right)\\=+\frac{7}{3} : \frac{4}{1}\\=+\frac{7}{3} . \frac{1}{4}\\=\frac{7.1}{3.4}\\=\frac{7}{12}\)
10. \(\frac{-4}{-12} : \left(\frac{-11}{11}\right)\\=-\frac{1}{3} : \frac{1}{1}\\=-\frac{1}{3} . \frac{1}{1}\\=-\frac{1.1}{3.1}\\=-\frac{1}{3}\)
11. \(\frac{-10}{2} : \left(\frac{-11}{12}\right)\\=+\frac{5}{1} : \frac{11}{12}\\=+\frac{5}{1} . \frac{12}{11}\\=\frac{5.12}{1.11}\\=\frac{60}{11}\)
12. \(\frac{-10}{-7} : \frac{6}{14}\\=+\frac{10}{7} : \frac{3}{7}\\=+\frac{10}{7} . \frac{7}{3}\\=\frac{10.7}{7.3}\\=\frac{70}{21}\\=\frac{10}{3}\)