Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-7}{11} : \frac{8}{7}\\=-\frac{7}{11} . \frac{7}{8}\\=-\frac{7.7}{11.8}\\=-\frac{49}{88}\)
2. \(\frac{-9}{-2} : \left(\frac{9}{-9}\right)\\=-\frac{9}{2} : \frac{1}{1}\\=-\frac{9}{2} . \frac{1}{1}\\=-\frac{9.1}{2.1}\\=-\frac{9}{2}\)
3. \(\frac{2}{14} : \left(\frac{-3}{7}\right)\\=-\frac{1}{7} : \frac{3}{7}\\=-\frac{1}{7} . \frac{7}{3}\\=-\frac{1.7}{7.3}\\=-\frac{7}{21}\\=-\frac{1}{3}\)
4. \(\frac{-2}{7} : \left(\frac{3}{-3}\right)\\=+\frac{2}{7} : \frac{1}{1}\\=+\frac{2}{7} . \frac{1}{1}\\=\frac{2.1}{7.1}\\=\frac{2}{7}\)
5. \(\frac{9}{-11} : \left(\frac{9}{-4}\right)\\=+\frac{9}{11} . \frac{4}{9}\\=\frac{9.4}{11.9}\\=\frac{36}{99}\\=\frac{4}{11}\)
6. \(\frac{-10}{12} : \left(\frac{10}{-15}\right)\\=+\frac{5}{6} : \frac{2}{3}\\=+\frac{5}{6} . \frac{3}{2}\\=\frac{5.3}{6.2}\\=\frac{15}{12}\\=\frac{5}{4}\)
7. \(\frac{5}{6} : \left(\frac{12}{-4}\right)\\=-\frac{5}{6} : \frac{3}{1}\\=-\frac{5}{6} . \frac{1}{3}\\=-\frac{5.1}{6.3}\\=-\frac{5}{18}\)
8. \(\frac{-11}{-2} : \left(\frac{2}{-2}\right)\\=-\frac{11}{2} : \frac{1}{1}\\=-\frac{11}{2} . \frac{1}{1}\\=-\frac{11.1}{2.1}\\=-\frac{11}{2}\)
9. \(\frac{7}{12} : \frac{7}{10}\\=+\frac{7}{12} . \frac{10}{7}\\=\frac{7.10}{12.7}\\=\frac{70}{84}\\=\frac{5}{6}\)
10. \(\frac{-7}{5} : \left(\frac{-4}{12}\right)\\=+\frac{7}{5} : \frac{1}{3}\\=+\frac{7}{5} . \frac{3}{1}\\=\frac{7.3}{5.1}\\=\frac{21}{5}\)
11. \(\frac{12}{-3} : \left(\frac{-5}{-9}\right)\\=-\frac{4}{1} : \frac{5}{9}\\=-\frac{4}{1} . \frac{9}{5}\\=-\frac{4.9}{1.5}\\=-\frac{36}{5}\)
12. \(\frac{-2}{7} : \left(\frac{-5}{-6}\right)\\=-\frac{2}{7} . \frac{6}{5}\\=-\frac{2.6}{7.5}\\=-\frac{12}{35}\)