Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{-3}{12} : \left(\frac{11}{-11}\right)\\=+\frac{1}{4} : \frac{1}{1}\\=+\frac{1}{4} . \frac{1}{1}\\=\frac{1.1}{4.1}\\=\frac{1}{4}\)
2. \(\frac{-10}{-15} : \left(\frac{-6}{-6}\right)\\=+\frac{2}{3} : \frac{1}{1}\\=+\frac{2}{3} . \frac{1}{1}\\=\frac{2.1}{3.1}\\=\frac{2}{3}\)
3. \(\frac{-6}{6} : \frac{11}{4}\\=-\frac{1}{1} : \frac{11}{4}\\=-\frac{1}{1} . \frac{4}{11}\\=-\frac{1.4}{1.11}\\=-\frac{4}{11}\)
4. \(\frac{7}{14} : \frac{12}{5}\\=+\frac{1}{2} : \frac{12}{5}\\=+\frac{1}{2} . \frac{5}{12}\\=\frac{1.5}{2.12}\\=\frac{5}{24}\)
5. \(\frac{-2}{-14} : \frac{6}{7}\\=+\frac{1}{7} : \frac{6}{7}\\=+\frac{1}{7} . \frac{7}{6}\\=\frac{1.7}{7.6}\\=\frac{7}{42}\\=\frac{1}{6}\)
6. \(\frac{12}{-5} : \left(\frac{-2}{15}\right)\\=+\frac{12}{5} . \frac{15}{2}\\=\frac{12.15}{5.2}\\=\frac{180}{10}\\=\frac{18}{1}= 18\)
7. \(\frac{-9}{2} : \frac{2}{5}\\=-\frac{9}{2} . \frac{5}{2}\\=-\frac{9.5}{2.2}\\=-\frac{45}{4}\)
8. \(\frac{-8}{-15} : \frac{7}{10}\\=+\frac{8}{15} . \frac{10}{7}\\=\frac{8.10}{15.7}\\=\frac{80}{105}\\=\frac{16}{21}\)
9. \(\frac{-10}{5} : \left(\frac{-12}{7}\right)\\=+\frac{2}{1} : \frac{12}{7}\\=+\frac{2}{1} . \frac{7}{12}\\=\frac{2.7}{1.12}\\=\frac{14}{12}\\=\frac{7}{6}\)
10. \(\frac{4}{-2} : \frac{6}{10}\\=-\frac{2}{1} : \frac{3}{5}\\=-\frac{2}{1} . \frac{5}{3}\\=-\frac{2.5}{1.3}\\=-\frac{10}{3}\)
11. \(\frac{-7}{-14} : \left(\frac{-9}{14}\right)\\=-\frac{1}{2} : \frac{9}{14}\\=-\frac{1}{2} . \frac{14}{9}\\=-\frac{1.14}{2.9}\\=-\frac{14}{18}\\=-\frac{7}{9}\)
12. \(\frac{7}{-9} : \frac{5}{10}\\=-\frac{7}{9} : \frac{1}{2}\\=-\frac{7}{9} . \frac{2}{1}\\=-\frac{7.2}{9.1}\\=-\frac{14}{9}\)