Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-3}{7} : \frac{2}{14}\\=-\frac{3}{7} : \frac{1}{7}\\=-\frac{3}{7} . \frac{7}{1}\\=-\frac{3.7}{7.1}\\=-\frac{21}{7}\\=-\frac{3}{1}= 3\)
2. \(\frac{8}{-10} : \left(\frac{-11}{-15}\right)\\=-\frac{4}{5} : \frac{11}{15}\\=-\frac{4}{5} . \frac{15}{11}\\=-\frac{4.15}{5.11}\\=-\frac{60}{55}\\=-\frac{12}{11}\)
3. \(\frac{-4}{-12} : \frac{6}{11}\\=+\frac{1}{3} : \frac{6}{11}\\=+\frac{1}{3} . \frac{11}{6}\\=\frac{1.11}{3.6}\\=\frac{11}{18}\)
4. \(\frac{-12}{2} : \left(\frac{12}{-13}\right)\\=+\frac{6}{1} : \frac{12}{13}\\=+\frac{6}{1} . \frac{13}{12}\\=\frac{6.13}{1.12}\\=\frac{78}{12}\\=\frac{13}{2}\)
5. \(\frac{8}{-5} : \frac{4}{4}\\=-\frac{8}{5} : \frac{1}{1}\\=-\frac{8}{5} . \frac{1}{1}\\=-\frac{8.1}{5.1}\\=-\frac{8}{5}\)
6. \(\frac{10}{-11} : \frac{5}{12}\\=-\frac{10}{11} . \frac{12}{5}\\=-\frac{10.12}{11.5}\\=-\frac{120}{55}\\=-\frac{24}{11}\)
7. \(\frac{-3}{-8} : \frac{8}{11}\\=+\frac{3}{8} . \frac{11}{8}\\=\frac{3.11}{8.8}\\=\frac{33}{64}\)
8. \(\frac{-12}{-2} : \left(\frac{-11}{-12}\right)\\=+\frac{6}{1} : \frac{11}{12}\\=+\frac{6}{1} . \frac{12}{11}\\=\frac{6.12}{1.11}\\=\frac{72}{11}\)
9. \(\frac{-5}{-12} : \left(\frac{-11}{-13}\right)\\=+\frac{5}{12} . \frac{13}{11}\\=\frac{5.13}{12.11}\\=\frac{65}{132}\)
10. \(\frac{-4}{12} : \left(\frac{-8}{-6}\right)\\=-\frac{1}{3} : \frac{4}{3}\\=-\frac{1}{3} . \frac{3}{4}\\=-\frac{1.3}{3.4}\\=-\frac{3}{12}\\=-\frac{1}{4}\)
11. \(\frac{11}{-5} : \left(\frac{-11}{6}\right)\\=+\frac{11}{5} . \frac{6}{11}\\=\frac{11.6}{5.11}\\=\frac{66}{55}\\=\frac{6}{5}\)
12. \(\frac{10}{-14} : \frac{7}{6}\\=-\frac{5}{7} : \frac{7}{6}\\=-\frac{5}{7} . \frac{6}{7}\\=-\frac{5.6}{7.7}\\=-\frac{30}{49}\)