Breuken delen (reeks 2)

Hoofdmenu Eentje per keer  🖨

Deel de breuken

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

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Deel de breuken

Verbetersleutel

1. \(\frac{3}{4} : \left(\frac{3}{-14}\right)\\=-\frac{3}{4} . \frac{14}{3}\\=-\frac{3.14}{4.3}\\=-\frac{42}{12}\\=-\frac{7}{2}\)
2. \(\frac{8}{-9} : \frac{5}{3}\\=-\frac{8}{9} . \frac{3}{5}\\=-\frac{8.3}{9.5}\\=-\frac{24}{45}\\=-\frac{8}{15}\)
3. \(\frac{10}{4} : \frac{9}{8}\\=+\frac{5}{2} : \frac{9}{8}\\=+\frac{5}{2} . \frac{8}{9}\\=\frac{5.8}{2.9}\\=\frac{40}{18}\\=\frac{20}{9}\)
4. \(\frac{-3}{9} : \left(\frac{-5}{-9}\right)\\=-\frac{1}{3} : \frac{5}{9}\\=-\frac{1}{3} . \frac{9}{5}\\=-\frac{1.9}{3.5}\\=-\frac{9}{15}\\=-\frac{3}{5}\)
5. \(\frac{11}{14} : \left(\frac{-7}{-8}\right)\\=+\frac{11}{14} . \frac{8}{7}\\=\frac{11.8}{14.7}\\=\frac{88}{98}\\=\frac{44}{49}\)
6. \(\frac{5}{8} : \left(\frac{-4}{15}\right)\\=-\frac{5}{8} . \frac{15}{4}\\=-\frac{5.15}{8.4}\\=-\frac{75}{32}\)
7. \(\frac{7}{-14} : \left(\frac{8}{-15}\right)\\=+\frac{1}{2} : \frac{8}{15}\\=+\frac{1}{2} . \frac{15}{8}\\=\frac{1.15}{2.8}\\=\frac{15}{16}\)
8. \(\frac{-7}{-10} : \left(\frac{-10}{-15}\right)\\=+\frac{7}{10} : \frac{2}{3}\\=+\frac{7}{10} . \frac{3}{2}\\=\frac{7.3}{10.2}\\=\frac{21}{20}\)
9. \(\frac{-4}{12} : \frac{9}{12}\\=-\frac{1}{3} : \frac{3}{4}\\=-\frac{1}{3} . \frac{4}{3}\\=-\frac{1.4}{3.3}\\=-\frac{4}{9}\)
10. \(\frac{4}{4} : \left(\frac{-12}{4}\right)\\=-\frac{1}{1} : \frac{3}{1}\\=-\frac{1}{1} . \frac{1}{3}\\=-\frac{1.1}{1.3}\\=-\frac{1}{3}\)
11. \(\frac{8}{6} : \left(\frac{-2}{10}\right)\\=-\frac{4}{3} : \frac{1}{5}\\=-\frac{4}{3} . \frac{5}{1}\\=-\frac{4.5}{3.1}\\=-\frac{20}{3}\)
12. \(\frac{9}{15} : \left(\frac{5}{-6}\right)\\=-\frac{3}{5} : \frac{5}{6}\\=-\frac{3}{5} . \frac{6}{5}\\=-\frac{3.6}{5.5}\\=-\frac{18}{25}\)