Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-3}{-9} : \frac{8}{10}\\=+\frac{1}{3} : \frac{4}{5}\\=+\frac{1}{3} . \frac{5}{4}\\=\frac{1.5}{3.4}\\=\frac{5}{12}\)
2. \(\frac{-8}{12} : \left(\frac{-10}{-11}\right)\\=-\frac{2}{3} : \frac{10}{11}\\=-\frac{2}{3} . \frac{11}{10}\\=-\frac{2.11}{3.10}\\=-\frac{22}{30}\\=-\frac{11}{15}\)
3. \(\frac{12}{-12} : \left(\frac{-7}{-10}\right)\\=-\frac{1}{1} : \frac{7}{10}\\=-\frac{1}{1} . \frac{10}{7}\\=-\frac{1.10}{1.7}\\=-\frac{10}{7}\)
4. \(\frac{2}{7} : \left(\frac{-3}{9}\right)\\=-\frac{2}{7} : \frac{1}{3}\\=-\frac{2}{7} . \frac{3}{1}\\=-\frac{2.3}{7.1}\\=-\frac{6}{7}\)
5. \(\frac{-12}{-11} : \frac{10}{10}\\=+\frac{12}{11} : \frac{1}{1}\\=+\frac{12}{11} . \frac{1}{1}\\=\frac{12.1}{11.1}\\=\frac{12}{11}\)
6. \(\frac{10}{8} : \frac{11}{8}\\=+\frac{5}{4} : \frac{11}{8}\\=+\frac{5}{4} . \frac{8}{11}\\=\frac{5.8}{4.11}\\=\frac{40}{44}\\=\frac{10}{11}\)
7. \(\frac{7}{15} : \left(\frac{11}{-4}\right)\\=-\frac{7}{15} . \frac{4}{11}\\=-\frac{7.4}{15.11}\\=-\frac{28}{165}\)
8. \(\frac{-10}{10} : \frac{10}{13}\\=-\frac{1}{1} : \frac{10}{13}\\=-\frac{1}{1} . \frac{13}{10}\\=-\frac{1.13}{1.10}\\=-\frac{13}{10}\)
9. \(\frac{11}{-6} : \left(\frac{-5}{10}\right)\\=+\frac{11}{6} : \frac{1}{2}\\=+\frac{11}{6} . \frac{2}{1}\\=\frac{11.2}{6.1}\\=\frac{22}{6}\\=\frac{11}{3}\)
10. \(\frac{7}{-6} : \frac{10}{7}\\=-\frac{7}{6} . \frac{7}{10}\\=-\frac{7.7}{6.10}\\=-\frac{49}{60}\)
11. \(\frac{-12}{-12} : \left(\frac{-4}{5}\right)\\=-\frac{1}{1} : \frac{4}{5}\\=-\frac{1}{1} . \frac{5}{4}\\=-\frac{1.5}{1.4}\\=-\frac{5}{4}\)
12. \(\frac{-10}{6} : \frac{6}{2}\\=-\frac{5}{3} : \frac{3}{1}\\=-\frac{5}{3} . \frac{1}{3}\\=-\frac{5.1}{3.3}\\=-\frac{5}{9}\)